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Journal articles on the topic 'Projectors'

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Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

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1

Teubl, Fernando, Marcio Cabral, Marcelo Zuffo, and Celso Kurashima. "Analysis of a Scalable Multi-Projector System for Virtual Reality Environments." International Journal of Virtual Reality 12, no. 1 (January 1, 2013): 15–29. http://dx.doi.org/10.20870/ijvr.2013.12.1.2855.

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Virtual reality environments with multi-projector systems provide better visual quality, higher resolution and more brightness than traditional single-projector systems. Moreover, using multiple low-cost projectors is economically advantageous in comparison to an expensive high-end projector for equivalent visual performance. This article presents the research and development of a scalable multiprojection system that enables the construction of virtual reality systems with a large number of projectors and graphics computers, and that is capable of achieving a high resolution display. We demonstrate the viability of such system with the development of a camera-based multiprojector system library called FastFusion, which automatically calibrates casually aligned projectors to properly blend different projections. Our system software improves known algorithms in the literature for projector calibration and image blending. As a result, FastFusion improves system scalability and calibration reliability. In a detailed analysis of the visual performance of FastFusion in a CAVE system with three walls, eighteen projectors and nine computers, we achieved a satisfactory result for variance in geometric calibration and for graphics performance. Thus, our library is suitable for building complex projector systems and with retina resolution.

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2

Wu, Lifang, Lidong Zhao, Meng Jian, Yuxin Mao, Miao Yu, and Xiaohua Guo. "EHMP-DLP: multi-projector DLP with energy homogenization for large-size 3D printing." Rapid Prototyping Journal 24, no. 9 (November 12, 2018): 1500–1510. http://dx.doi.org/10.1108/rpj-04-2017-0060.

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Purpose In some three-dimensional (3D) printing application scenarios, e.g., model manufacture, it is necessary to print large-sized objects. However, it is impossible to implement large-size 3D printing using a single projector in digital light processing (DLP)-based mask projection 3D printing because of the limitations of the digital micromirror device chips. Design/methodology/approach A multi-projector DLP with energy homogenization (EHMP-DLP) scheme is proposed for large-size 3D printing. First, a large-area printing plane is established by tiling multiple projectors. Second, the projector set’s tiling pattern is obtained automatically, and the maximum printable plane is determined. Third, the energy is homogenized across the entire printable plane by adjusting gray levels of the images input into the projectors. Finally, slices are automatically segmented based on the tiling pattern of the projector set, and the gray levels of these slices are reassigned based on the images of the corresponding projectors. Findings Large-area high-intensity projection for mask projection 3D printing can be performed by tiling multiple DLP projectors. The tiled projector output energies can be homogenized by adjusting the images of the projectors. Uniform ultraviolet energy is important for high-quality printing. Practical implications A prototype device is constructed using two projectors. The printable area becomes 140 × 210 mm from the original 140 × 110 mm. Originality/value The proposed EHMP-DLP scheme enables 3D printing of large-size objects with linearly increasing printing times and high printing precision. A device was established using two projectors to practice the scheme and can easily be extended to larger sizes by using more projectors.

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3

Shekhtman, Boris, Lesław Skrzypek, and Brian Tuesink. "On Primary Decomposition of Hermite Projectors." Symmetry 15, no. 9 (August 28, 2023): 1658. http://dx.doi.org/10.3390/sym15091658.

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An ideal projector on the space of polynomials C[x]=C[x1,…,xd] is a projector whose kernel is an ideal in C[x]. Every ideal projector P can be written as a sum of ideal projectors P(k) such that the intersection of their kernels kerP(k) is a primary decomposition of the ideal kerP. In this paper, we show that P is a limit of Lagrange projectors if and only if each P(k) is. As an application, we construct an ideal projector P whose kernel is a symmetric ideal, yet P is not a limit of Lagrange projectors.

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4

Gao, Qiangsheng, Ka Ho Cheng, Anran Li, and Yibo Liu. "P‐18.2: Relative Localization for Real‐time Adaptive Quadruped Mobile Projector System." SID Symposium Digest of Technical Papers 55, S1 (April 2024): 1557–59. http://dx.doi.org/10.1002/sdtp.17425.

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The technology of home projectors has matured significantly. However, most projectors are limited to static manual projectors, and projectors capable of automatic focusing and keystone correction are expensive. Furthermore, there is still room for development in the adaptability and real‐time performance of the screen distance and spatial angle measurement systems that projectors use for automatic focusing and keystone correction. Compared with the existing laser focusing technology, in this research, we present an alternative solution to acquire real‐time screen distance and spatial angle estimations using relative localization algorithms and an ultrasonic ranging sensor array. The relative localization information can then be employed for automatic focusing and keystone correction of a projector mounted on the mobile platform of an open‐source quadruped robot. The proposed approach will enhance the versatility and adaptability of the projector system, providing an economical solution for real‐time automatic focusing and keystone correction in mobile projector platforms.

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5

Vetoshkin, A. M., and A. A. Shum. "Strictly oblique projectors and their properties." FORESTRY BULLETIN 24, no. 5 (October 2020): 122–27. http://dx.doi.org/10.18698/2542-1468-2020-5-122-127.

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In this paper, strictly oblique projectors are defined as projectors that cannot be represented as the sum of two projectors, one of which is a nonzero orthoprojector. A theorem is proved that each projector can be represented in a unique way as the sum of a strictly oblique projector and an orthoprojector. The properties of such projectors are given. For example: if the projector is strictly oblique, then its Hermitian adjoint is also strictly oblique; the rank of a strictly oblique projector is at most n/2, where n is the order of the projector matrix; the property of the projector to be strictly oblique is preserved with a unitary similarity. The work is a continuation of the previous work of the authors, the main result of which is such a matrix expression for an arbitrary projector: where A and B are two matrices of full rank whose columns define range and the null space of this projector. Based on this result, the article shows that the strictly oblique part of any projector P is given by the expression: P(P – P+P)+P. And equality P = P(P – P+P)+P is a criterion that the projector P is a strictly oblique projector. The decomposition of the projector obtained in the work is applied to the practical problem of oblique projection onto the plane

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6

Pitiakov, Oleksandr, Pavel Neyezhmakov, Svitlana Shpak, Svitlana Kyslytsia, and Gregory Kozhushko. "Investigation of photobiological safety of blue light of LED image projector of household use." Ukrainian Metrological Journal, no. 3 (October 5, 2021): 50–57. http://dx.doi.org/10.24027/2306-7039.3.2021.241285.

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Abstract Light emitted in the wavelength range of 400–500 nm causes a very significant photochemical effect on the retina. At certain doses of blue light energy can cause damage to the retina, so the study of the safety of blue light projectors used in domestic conditions is an urgent task. The aim of this work is to study the photobiological safety of light image projectors with light emitting diodes. The paper analyzes the requirements for photobiological safety of tube systems and methods for assessing the danger of blue light of projectors that use LED light sources. The information is provided on the equipment for measurement of spectroradiometric and photometric parameters of beams of projectors, as well as features of radiance and irradiance measurement of lamp systems in which lens optics is used. The results of research of photobiological danger levels of blue light of image projectors intended for use in household conditions are presented. It is shown that at a distance of 1 m from the projector (the distance for which the level of photobiological safety of blue light is normalized), the investigated type of projector belongs to the risk group RG1 (insignificant risk). When the distance is reduced to 0.5 m and 0.2 m, the risk of blue light increases to the RG2 group (medium risk). The features of the requirements for photobiological safety of blue light of image projectors used in everyday life, educational institutions and in other conditions are analyzed. In particular, the risk group at a distance of 1 m from the collimator lens should not exceed RG1, and it is recommended to put an additional label on the projector indicating the risk group RG1 and mark this information in the user manual. Conclusions are made on the compliance of the studied low-power image projectors with the safety conditions of blue light, established by the international standard IEC 62471-5 (Photobiological Safety of Lamps and Lamp Systems – Part 5 Image Projectors).

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7

Herbut, Fedor. "Latent Complete-Lattice Structure of Hilbert-Space Projectors." Quanta 8, no. 1 (March 1, 2019): 1. http://dx.doi.org/10.12743/quanta.v8i1.85.

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To uncover the hidden complete-lattice structure of Hilbert-space projectors, which is not seen by the operator operations and relations (algebraically), resort is taken to the ranges of projectors (to subspaces—to geometry). Taking the range of a projector is completed into a bijection of all projectors onto all subspaces of any finite or countably infinite dimensional Hilbert space. As a second step, this basic bijection is upgraded into an isomorphism of partially ordered sets utilizing the sub-projector relation on the one hand, and the subspace relation on the other. As a third and final step, the basic bijection is further upgraded to isomorphism of complete lattices. The complete-lattice structure is derived for subspaces, then, using the basic bijection, it is transferred to the set of all projectors. Some consequences in the quantum-mechanical formalism are examined with particular attention to the infinite sums appearing in spectral decompositions of discrete self-adjoint operators with infinite spectra.Quanta 2019; 8: 1–10.

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8

Bertrand, François, and Jean-Paul Calvi. "The Newton product of polynomial projectors Part 1: Construction and algebraic properties." International Journal of Mathematics 30, no. 06 (June 2019): 1950030. http://dx.doi.org/10.1142/s0129167x19500307.

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We propose a new way of combining two polynomial projectors on spaces of functions of few variables to obtain a polynomial projector on a space of functions of many variables. We present various algebraic properties of our construction and study the main approximation properties of the new projectors.

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9

Budijono, Santoso, and Robby Saleh. "Analysis of Various Computer System Monitoring and LCD Projector through the Network TCP/IP." ComTech: Computer, Mathematics and Engineering Applications 6, no. 3 (September 1, 2015): 381. http://dx.doi.org/10.21512/comtech.v6i3.2231.

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Many electronic devices have a network connection facility. Projectors today have network facilities to bolster its customer satisfaction in everyday use. By using a device that can be controlled, the expected availability and reliability of the presentation system (computer and projector) can be maintained to keep itscondition ready to use for presentation. Nevertheless, there is still a projector device that has no network facilities so that the necessary additional equipment with expensive price. Besides, control equipment in large quantities has problems in timing and the number of technicians in performing controls. This study began with study of literature, from searching for the projectors that has LAN and software to control and finding a number of computer control softwares where the focus is easy to use and affordable. Result of this research is creating asystem which contains suggestions of procurement of computer hardware, hardware and software projectors each of which can be controlled centrally from a distance.

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10

Fang, Rong Jyue, Wen Jiuh Chiang, and Hua Lin Tsai. "Application in Education of Communication Systems of PHS Phone." Applied Mechanics and Materials 58-60 (June 2011): 875–83. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.875.

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This study intends to investigate PHS phone and its application in an elementary school. The interview process targeted on the projector who directed the plan of PHS phone from an experimental elementary school located in Kaohsiung County, southern Taiwan. She joined all of digital experimental project and observed interaction between the parents and their own children in that specific elementary school. In the experimental period, the projector observed each parents using a PHS phone through message transmission and mobile net communication, and the parents discussed and shared feelings with the teacher and other parents through using PHS phone. The research summarized the projector’s ideas and provided references opinion information to instruction designers and mobile learning projectors to develop further innovative instruction.

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11

Adamczyk, Marcin. "Temperature Compensation Method for Raster Projectors Used in 3D Structured Light Scanners." Sensors 20, no. 20 (October 12, 2020): 5778. http://dx.doi.org/10.3390/s20205778.

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Raster projectors are commonly used in many various measurement applications where active lighting is required, such as in three-dimensional structured light scanners. The effect of temperature on the raster projector, in some conditions, can lead to significant deterioration of the measurements performed with such a scanner. In this paper, the outcomes of several experiments concerning the effects of temperature on raster projectors are presented. The described research is focused on the thermal deformations of projected images caused by common thermal effects observed in projectors: those caused by the warming-up process and changes in ambient environmental temperature. A software compensation method is also presented. It is suitable for implementation in any existing measurement method that uses raster projectors. The results of performed verification experiments show that the developed compensation method can decrease the thermal drift of the projected images by up to 14 times in the ambient temperature range 14–42 °C.

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12

Tanaka, Kenta, Motoyasu Sano, Yumi Horimai, Hideyoshi Horimai, and Yusuke Aoki. "Geometric Correction Method Applying the Holographic Ray Direction Control Technology." Journal of Robotics and Mechatronics 33, no. 5 (October 20, 2021): 1155–68. http://dx.doi.org/10.20965/jrm.2021.p1155.

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In recent years, there has been an increasing need for larger screens and higher definition displays, while projectors are becoming smaller and cheaper. Furthermore, an ultra-short-throw projector that can display on a large screen while significantly reducing the distance between the projector and screen is being developed. However, ultra-short-throw projectors are required to be precisely aligned with the screen, and if the screen is not flat, the projected image becomes distorted. Therefore, geometric correction projection technology is attracting attention for projection on curtains and the walls of living rooms instead of screens for realizing the correction of distortion during projection with ultra-short-throw projectors, projection mapping, signage, etc. We focused on developing a hologram with perfect command of the ray. Conventional geometry-correction systems are expensive systems that require a personal computer and a camera. In this study, we developed a geometric correction method applying holographic ray direction control technology to control a holographic ray at a low cost and in real time. In this paper, we studied the exposure technology and proposed a ray-direction control technology that combines a scanning laser projector that uses a hologram and a micro electro mechanical systems mirror. We also proposed and demonstrated the basic principle of a holographic surface projector (HSP), which uses hologram geometry correction technology. Finally, we constructed a geometrically corrected hologram exposure system using a depth camera and conducted geometrically corrected projection experiments.

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13

Komalasari, Rika, Sifa Nafsiah, and Tiara Nabillah Wondu. "Improving Social Studies Learning Outcomes by Using Picture and Projector Media." Jurnal Primagraha 3, no. 02 (November 30, 2022): 64–72. http://dx.doi.org/10.59605/jp.v3i02.672.

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This research aims to determine the results of social studies learning using picture media and a projector for class V students at SDN Catang 1, Serang Regency, Banten. The subjects of this research were 30 class V students at SDN Catang 1. The data collection techniques used were observation and interviews. The data analysis technique was carried out using a quantitative model to find out how important image media and projectors are for teachers and students in improving social studies learning outcomes by using image media and projectors in the learning process. Based on the data from the research conducted, it can be concluded that unique and interesting learning media are really needed by teachers and students. The presence of image media and projectors can make learning more fun, students are able to have open and broad knowledge, and do not get bored in the learning they do. . So, to improve student learning outcomes, especially in social studies subjects, it is very effective to use picture media and projectors because it can make it easier for students to follow the lesson clearly. Not only in social studies learning but for other learning it is also very much needed.

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14

MANLEY-COOPER, N. C. "Projectors." Medical Education 1, no. 3 (January 29, 2009): 221–23. http://dx.doi.org/10.1111/j.1365-2923.1967.tb01701.x.

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Jadiyar, Yash, Yash Gala, Vedant Jani, Kunal Kotekar, and Poonam Vengurlekar. "Mini Projector." International Journal for Research in Applied Science and Engineering Technology 10, no. 5 (May 31, 2022): 2816–18. http://dx.doi.org/10.22214/ijraset.2022.42664.

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Abstract: A Projector has become an inseparable part of offices, schools and universities. One cannot imagine a presentation without the use of projector. Almost all presentation rooms have projectors installed. In this post we will discuss about what is Projector, how it works, its various types (CRT, LCD and DLP), applications, advantages and disadvantages. Keywords: Activity Recognition, Smartphone, contextual app.

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16

von Jungenfeld, Rocio. "Portable Projections: Analyzing Cocreated Site-Specific Video Walks." Leonardo 53, no. 5 (October 2020): 492–97. http://dx.doi.org/10.1162/leon_a_01794.

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The author discusses key findings of a series of video walks developed as part of her practice-based PhD research (2011–2014). Four video walks were produced for handheld projectors and tested in four different public spaces. The first video walks ( The Surface Inside, 2011; I-Walk, 2012) were guided, and only one handheld projector was available. The latter ( Walk-itch, 2013; (wh)ere land, 2014) were created for multiple handheld projectors, offering participants a cocreative role. Onsite observations revealed a shift in participant engagement between earlier and later video walks. A threefold method for analyzing audiovisual documentation also emerged during the research.

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17

VALTANCOLI, P. "PROJECTORS FOR THE FUZZY SPHERE." Modern Physics Letters A 16, no. 10 (March 28, 2001): 639–45. http://dx.doi.org/10.1142/s0217732301003851.

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All fiber bundles with a given set of characteristic classes can be considered as particular projections of a more general bundle called a universal classifying space. This notion of projector valued field, a global definition of connections and gauge fields, may be useful in defining vector bundles for noncommutative base spaces. In this letter we derive the projector valued field for the fuzzy sphere, define noncommutative n-monopole configurations, and check that in the classical limit, using the machinery of noncommutative geometry, the corresponding topological charges (Chern class) are integers.

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18

Malkova, Natalia Yu, and Milena D. Petrova. "Safety assessment of laser projector radiation for the population." Hygiene and sanitation 101, no. 8 (September 14, 2022): 850–54. http://dx.doi.org/10.47470/0016-9900-2022-101-8-850-854.

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Introduction. The target organs of laser radiation include the skin and the organ of vision. The danger of laser beams for the visual analyzer determined the main direction of research in this area, which focused on the study of the damaging effect of radiation on the organ of vision. The aim of the study is a hygienic assessment of laser radiation from projectors used in cultural events. Materials and methods. Measurements were carried out on 10 multi-color projectors with capacities from 2 to 30 watts belonging to 2 classes: Kvant and Spectrum and wavelengths of 445-460 nm, 520-532 nm, and 637-640 nm with a tuned projection system at a distance of 7 m from the scanning system. Results. Analysis of the data obtained showed that, with the exception of the blue spectral region for Kvant 2000 and 3000 projectors, there is an excess of the maximum permissible levels at all wavelengths for all projectors. The greatest exceedances were detected 7-11 times at a wavelength of 532 nm, 8 times at a wavelength of 637 nm. Limitations. The study was conducted on a limited number of projectors, and the remote control was calculated only for the time of the flashing reflex, which limits the possibilities of a broader interpretation of the data obtained. Conclusion. The probability of exceeding the maximum permissible levels of laser radiation at the available capacities jeopardizes the safety of the event for both visitors and actors and projector operators. This issue requires a deeper study of protective measures at all levels: both organizational and household.

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19

Hong-jie, Guo, and Du Fu-zhou. "Real-time Projection Method for Augmented Reality Assisted Assembly." MATEC Web of Conferences 175 (2018): 02026. http://dx.doi.org/10.1051/matecconf/201817502026.

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Recently, the augmented reality technology has become a useful tool for assembly guidance. The projectors have been always used as virtual image output devices. In most situations, real-time and dynamic images projection is essential due to that the components to be assembled are randomly placed and movable. However, the cameras and the projectors are placed in different relative positions, making it difficult to project real time images when we are using augmented reality for assembly. A novel method based on the system of binocular cameras and projector was proposed here to overcome the limitation. We established a method to get the relations of coordinate transform among camera coordinate system, projector coordinate system and world coordinate system based on real-time internal parameter matrix of the projector that we derived. Obtaining the pose information of the cameras without any designed markers in real world was also realized, which is the key technology for the camera-projector assembly visualization system. An assembly experiment of cable laying was conducted and the results showed that using the proposed method the real-time projection for augmented reality assisted assembly was realized.

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20

Rizza, Muhammad Akhlis, Zakki Fuadi Emzain, Ratna Monasari, and Etik Puspitasari. "Peningkatan Kualitas Pembelajaran melalui Media Pembelajaran LCD Proyektor bagi Guru dan Siswa KB Bina Cendikia Desa Sidorejo Kecamatan Jabung Kabupaten Malang." Prima Abdika : Jurnal Pengabdian Masyarakat 2, no. 3 (September 11, 2022): 254–61. http://dx.doi.org/10.37478/abdika.v2i3.2075.

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The use of technology continues to penetrate various aspects of life, one of which is the utilization of technology in the field of education at the Playgroup Level (KB). At KB Bina Cendikia in Jabung Subdistrict, Malang has not used technology for learning media such as LCD projectors; therefore, there is necessary to teach media by utilizing this technology to increase learning activities. This community service activity (PPM) aims to provide learning media in the form of an LCD projector and its equipment and to train KB Bina Cendikia teachers to operate and maintain it. The PPM activities stages include surveys, coordination, procurement, socialization, and handovers. The results of the PPM activity showed that the thematic learning process at KB Bina Cendikia using LCD projector media could make students happier. It demonstrated the students' enthusiasm for participating in the lessons, and there was also an increase in learning activities. KB teacher Bina Cendikia also responded positively to using LCD projectors in thematic learning.

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21

Lomer, Richard. "Using projectors." 5 to 7 Educator 2006, no. 22 (November 2006): 22–23. http://dx.doi.org/10.12968/ftse.2006.5.10.22134.

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22

Odesskii, Alexander. "K-projectors." Journal of Algebra 511 (October 2018): 1–15. http://dx.doi.org/10.1016/j.jalgebra.2018.06.011.

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23

Fawson, Curtis E. "LCD projectors." TechTrends 35, no. 5 (October 1990): 19–24. http://dx.doi.org/10.1007/bf02830788.

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24

Rusk, Michael D. "Video Projectors." Community & Junior College Libraries 9, no. 3 (September 2000): 55–59. http://dx.doi.org/10.1300/j107v09n03_08.

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Dachselt, Raimund, Jonna Häkkilä, Matt Jones, Markus Löchtefeld, Michael Rohs, and Enrico Rukzio. "Pico projectors." Interactions 19, no. 2 (March 2012): 24–29. http://dx.doi.org/10.1145/2090150.2090158.

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26

Zuo, Kezheng, Yu Li, and Abdullah Alazemi. "Further characterizations of k-generalized projectors and k-hypergeneralized projectors." Filomat 37, no. 16 (2023): 5347–59. http://dx.doi.org/10.2298/fil2316347z.

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The paper focuses on the classes of the k-generalized and k-hypergeneralized projectors. Several original features of these classes are identified and new properties are characterized. We present some relations between k-generalized and k-hypergeneralized projectors that generalize appropriate relations between generalized and hypergeneralized projectors given in [Further properties of generalized and hypergeneralized projectors, Linear Algebra and its Applications, 389 (2004) 295-303] and [Further results on generalized and hypergeneralized projectors, Linear Algebra and its Applications, 429 (2008) 1038-1050].

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27

Feingold, Mordechai. "Projectors and learned projects in early modern England." Seventeenth Century 32, no. 1 (November 29, 2016): 63–79. http://dx.doi.org/10.1080/0268117x.2016.1249935.

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Blissing, Björn, Fredrik Bruzelius, and Olle Eriksson. "The Effects on Driving Behavior When Using a Head-mounted Display in a Dynamic Driving Simulator." ACM Transactions on Applied Perception 19, no. 1 (January 31, 2022): 1–18. http://dx.doi.org/10.1145/3483793.

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Driving simulators are established tools used during automotive development and research. Most simulators use either monitors or projectors as their primary display system. However, the emergence of a new generation of head-mounted displays has triggered interest in using these as the primary display type. The general benefits and drawbacks of head-mounted displays are well researched, but their effect on driving behavior in a simulator has not been sufficiently quantified. This article presents a study of driving behavior differences between projector-based graphics and head-mounted display in a large dynamic driving simulator. This study has selected five specific driving maneuvers suspected of affecting driving behavior differently depending on the choice of display technology. Some of these maneuvers were chosen to reveal changes in lateral and longitudinal driving behavior. Others were picked for their ability to highlight the benefits and drawbacks of head-mounted displays in a driving context. The results show minor changes in lateral and longitudinal driver behavior changes when comparing projectors and a head-mounted display. The most noticeable difference in favor of projectors was seen when the display resolution is critical to the driving task. The choice of display type did not affect simulator sickness nor the realism rated by the subjects.

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Garron, Nicolas. "Fierz transformations and renormalization schemes for fourquark operators." EPJ Web of Conferences 175 (2018): 10005. http://dx.doi.org/10.1051/epjconf/201817510005.

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It has been shown that the choice of renormalization scheme is crucial for four-quark operators, in particular for neutral kaon mixing beyond the Standard Model. In the context of SMOM schemes, the choice of projector is not unique and is part of the definition of the renormalisation scheme. I present the non-diagonal Fierz relations which relate some of these projectors.

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BALACHANDRAN, A. P., and S. M. ROY. "CONTINUOUS TIME-DEPENDENT MEASUREMENTS: QUANTUM ANTI-ZENO PARADOX WITH APPLICATIONS." International Journal of Modern Physics A 17, no. 28 (November 10, 2002): 4007–23. http://dx.doi.org/10.1142/s0217751x0201056x.

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We derive differential equations for the modified Feynman propagator and for the density operator describing time-dependent measurements or histories continuous in time. We obtain an exact series solution and discuss its applications. Suppose the system is initially in a state with density operator ρ(0) and the projection operator E(t) = U(t) EU†(t) is measured continuously from t = 0 to T, where E is a projector obeying Eρ(0)E = ρ(0) and U(t) a unitary operator obeying U(0) = 1 and some smoothness conditions in t. Then the probability of always finding E(t) = 1 from t = 0 to T is unity. Generically E(T) ≠ E and the watched system is sure to change its state, which is the anti-Zeno paradox noted by us recently. Our results valid for projectors of arbitrary rank generalize those obtained by Anandan and Aharonov for projectors of unit rank.

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Zhao, Tianyue, Chao Yu, Xianzhen Li, Shuo Chen, Xingqun Jiang, Xinyi Cheng, Feng Zhang, Enhui Guan, Jianzhou Gou, and Zhongkui Wan. "P‐9.16: 4K LCD projection display drive system." SID Symposium Digest of Technical Papers 55, S1 (April 2024): 1212–15. http://dx.doi.org/10.1002/sdtp.17324.

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In recent years, the rapid development of the domestic projection industry, the projector industry will usher in more development opportunities, 4K LCD projection technology has formed the LCD projection full link self‐research design and manufacturing capabilities, It includes the industry's first 4K LCD optical machine, LCD projection display panel, self‐designed display motherboard and reliable ODM machine manufacturing capabilities, giving 4K LCD projectors a richer built‐in ultra HD keystone correction technology, the solution uses external hard decoding dedicated processor, ultra‐low latency and does not occupy the GPU soft decoding resources of SoC in the traditional solution. The GPU processing power of the SoC can be fully released. And support edge‐blending image quality adjustment. The unique image fusion technology can achieve a seamless visual experience and perfect picture quality improvement when multiple projectors are used together, creating a high‐quality UHD projection audio‐visual experience for users. .

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Li, Zhe, Shugong Zhang, and Tian Dong. "The Discretization for a Special Class of Ideal Projectors." ISRN Applied Mathematics 2012 (June 11, 2012): 1–15. http://dx.doi.org/10.5402/2012/359069.

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We focus on a special class of ideal projectors, subspaces, which possesses two classes of D-invariant polynomial subspaces. The first is a classical type, while the second is a new class. With matrix computation, we discretize this class of ideal projectors into a sequence of Lagrange projectors.

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Sandberg, Kristian, and Gregory Beylkin. "Full-wave-equation depth extrapolation for migration." GEOPHYSICS 74, no. 6 (November 2009): WCA121—WCA128. http://dx.doi.org/10.1190/1.3202535.

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Most of the traditional approaches to migration by downward extrapolation suffer from inaccuracies caused by using one-way propagation, both in the construction of such propagators in a variable background and the suppression of propagating waves generated by, e.g., steep reflectors. We present a new mathematical formulation and an algorithm for downward extrapolation that suppress only the evanescent waves. We show that evanescent wave modes are associated with the positive eigenvalues of the spatial operator and introduce spectral projectors to remove these modes, leaving all propagating modes corresponding to nonpositive eigenvalues intact. This approach suppresses evanescent modes in an arbitrary laterally varying background. If the background velocity is only depth dependent, then the spectral projector may be applied by using the fast Fourier transform and a filter in the Fourier domain. In computing spectral projectors, we use an iteration that avoids the explicit construction of the eigensystem. Moreover, we use a representation of matrices leading to fast matrix-matrix multiplication and, as a result, a fast algorithm necessary for practical implementation of spectral projectors. The overall structure of the migration algorithm is similar to survey sinking with an important distinction of using a new method for downward continuation. Using a blurred version of the true velocity as a background, steep reflectors can be imaged in a 2D slice of the SEG-EAGE model.

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DENG, HUI, BO-YU HOU, KANG-JIE SHI, ZHAN-YING YANG, RUI-HONG YUE, and LIU ZHAO. "THE MANIFESTLY COVARIANT SOLITON SOLUTIONS ON NONCOMMUTATIVE ORBIFOLDS T2/Z6 AND T2/Z3." Reviews in Mathematical Physics 18, no. 03 (April 2006): 255–83. http://dx.doi.org/10.1142/s0129055x06002644.

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In this paper, we construct a closed form of projectors on the integral noncommutative orbifold T2/Z6 in terms of elliptic functions by GHS (Gopakumar, Headrick and Spradlin) construction. Thereafter, we give a general solution of projectors on T2/Z6 and T2/Z3 with minimal trace and continuous reduced matrix M(k,q0). The projectors constructed by us possess symmetry and manifestly covariant forms under Z6 rotation. Since projectors correspond to the soliton solutions of field theory on the noncommutative orbifold, we thus present a series of corresponding manifestly covariant soliton solutions.

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Sophie, Manikuzwe, and Mugiraneza Faustin. "Inclusion of Technological Tools in Teaching and Students’ Learning Outcomes in Public Secondary in Rwanda: A Case of Gisagara District, Rwanda." International Journal of Management and Development Studies 13, no. 5 (May 31, 2024): 17–33. http://dx.doi.org/10.53983/ijmds.v13n5.002.

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This study aimed to investigate the impact of incorporating technological tools in teaching on students' learning outcomes in public secondary schools in Rwanda. Specifically, it focused on three objectives: identifying the technological tools used in teaching in public secondary schools in Gisagara District, Rwanda; examining the learning outcomes required in these schools; and evaluating the relationship between the use of technological tools in teaching and students' learning outcomes. The study was based on Constructivism and Socio-Cultural theories and employed a descriptive design to collect data. The Yamane formula was used to determine a sample size of 282 respondents. Findings revealed that the majority (80.5%) of respondents strongly agreed that their schools had projectors and used them effectively for learning. Additionally, 14.1% agreed that projectors were available and used in their schools, 3.6% indicated that their schools did not have projectors, 1.4% also stated that their schools lacked projectors, and 0.4% did not provide any information regarding projector availability and usage. The study found a strong relationship between the inclusion of technological tools and students' learning outcomes in public secondary schools, evidenced by a Pearson correlation coefficient (r) of 0.956 with a statistically significant p-value of 0.000. This indicates a highly positive and significant association between the use of technological tools in teaching and students' learning outcomes. Furthermore, the regression analysis showed that the inclusion of technological tools significantly enhances students' learning outcomes, with a square value of 0.913. Based on these findings, it is recommended that the Rwandan government prioritize investments in infrastructure and digital resources to ensure equitable access to technological tools across all public secondary schools. Schools should establish well-equipped digital learning environments to seamlessly integrate technological tools into teaching practices and foster a culture of innovation and experimentation, encouraging teachers to explore new instructional methods that leverage technology to enhance student engagement and learning outcomes.

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Bauschke, Heinz H., Caifang Wang, Xianfu Wang, and Jia Xu. "On Subgradient Projectors." SIAM Journal on Optimization 25, no. 2 (January 2015): 1064–82. http://dx.doi.org/10.1137/14096267x.

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Ohkahara, Makoto, and Shoji Yamamoto. "Lamps for Projectors." JOURNAL OF THE ILLUMINATING ENGINEERING INSTITUTE OF JAPAN 87, no. 1 (2003): 37–41. http://dx.doi.org/10.2150/jieij1980.87.1_37.

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Swarztrauber, Paul N., and William F. Spotz. "Spherical harmonic projectors." Mathematics of Computation 73, no. 246 (October 2, 2003): 753–61. http://dx.doi.org/10.1090/s0025-5718-03-01597-7.

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Gaiotto, Davide, Leonardo Rastelli, Ashoke Sen, and Barton Zwiebach. "Star Algebra Projectors." Journal of High Energy Physics 2002, no. 04 (April 30, 2002): 060. http://dx.doi.org/10.1088/1126-6708/2002/04/060.

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Puntanen, Simo, and George P. H. Styan. "Orthogonal Projectors—Solution." Econometric Theory 13, no. 5 (October 1997): 764–65. http://dx.doi.org/10.1017/s0266466600006228.

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Takane, Yoshio, and Haruo Yanai. "On oblique projectors." Linear Algebra and its Applications 289, no. 1-3 (March 1999): 297–310. http://dx.doi.org/10.1016/s0024-3795(98)10180-5.

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Baksalary, Jerzy K., and Oskar Maria Baksalary. "Commutativity of projectors." Linear Algebra and its Applications 341, no. 1-3 (January 2002): 129–42. http://dx.doi.org/10.1016/s0024-3795(01)00350-0.

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Boegner, Ray F. "Motion-Picture Projectors." Scientific American 279, no. 4 (October 1998): 134–35. http://dx.doi.org/10.1038/scientificamerican1098-134.

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Conley, Charles H., and Mark R. Sepanski. "Relative extremal projectors." Advances in Mathematics 174, no. 2 (March 2003): 155–66. http://dx.doi.org/10.1016/s0001-8708(02)00031-2.

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Graham-Rowe, Duncan. "Projectors get personal." Nature Photonics 1, no. 12 (December 2007): 677–79. http://dx.doi.org/10.1038/nphoton.2007.236.

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Queffelec, Hoel, and Paul Wedrich. "Extremal weight projectors." Mathematical Research Letters 25, no. 6 (2018): 1911–36. http://dx.doi.org/10.4310/mrl.2018.v25.n6.a11.

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Wang, Shiquan. "Far-Field Performances Prediction of High Frequency Projectors Using Secondary Source Array Method." Journal of Computational Acoustics 25, no. 02 (November 2, 2016): 1750002. http://dx.doi.org/10.1142/s0218396x17500023.

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This paper investigates the prediction of the far-field performances of high frequency projectors using the second source array method (SSAM). The far-field parameters can be calculated accurately using the complex acoustic pressure data of two very close parallel planes which lie in the near-field region of the projector. The paper simulates the feasibility of predicting the far-field parameters such as transmitting voltage response and the far-field directivity pattern. The predicting results are compared with that calculated using boundary element method (BEM). It shows very good agreement between the two methods. A planar high frequency projector is measured using the near-field method. In order to verify the predicting results, the far-field measurement is performed for the same projector. The comparison of the results shows that the near-field method is capable to precisely predict the far-field parameters of the projector.

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Moll, Björn. "Veitstanz und Fortschritt." Scientia Poetica 23, no. 1 (October 21, 2019): 86–122. http://dx.doi.org/10.1515/scipo-2019-004.

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Abstract This article focusses on the discourse surrounding ›projectors‹, autoentrepeneurs, who made plans for innovations of any kind and tried to have potential financiers promote them, from the Baroque to German Romanticism. While the role of projectors in the history of science has been the object of historical study, there is a lack of research regarding the concept’s trajectory and its semantic variation. In the early modern period, the necessity of innovation was emphasized, but also the contingency of project proposals. During the Enlightenment, the tradition of the approval of project-making continued, but projects became detached from projectors. In the late 18th century, the idea of speculation and the fantastic transformed within the area of creativity, due to the primacy of imagination and genius. What happened to the talk about projectors and their ways of self-fashioning after the disappearance of the social figure? What enabled authors to refer to projectors and how was their role historically discussed? Projectors served as a topos of insanity or deception or a sign of unprofessionalism (as shown in examples by Goethe and Schiller). Romanticism carried with it the positive connotations of the project, but also reinterpreted its negative aspects, such as the value of incompletion, insanity and alternative ways of work.

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Köhler, Susanne, Boris Kubitza, and Aniella Thoma. "Development of HD-headlamps with high-performance projectors." Advanced Optical Technologies 9, no. 6 (December 16, 2020): 333–38. http://dx.doi.org/10.1515/aot-2020-0036.

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AbstractHigh-resolution headlamp concepts, such as the SSL|HD system from HELLA [1], induce completely new requirements for the evaluation of headlamp light distributions. The subjective perception of image quality is becoming increasingly important compared to the fulfilment of legal lighting values. High-performance projectors allow a good compromise between rapid but theoretical simulations and real but expensive prototypes. These projectors can display different static or dynamic simulations in a realistic way with regard to image quality and light values [2]. This article first introduces the high-performance projectors used for this purpose at HELLA. The projectors can be used to visualize the headlamp light distribution early in the development process, long before prototypes or overall systems are implemented in the vehicle. Following this, two exemplary research questions for static situations are presented, which were answered on the basis of investigations with the high-performance projectors. The requirements for dynamic simulations of real traffic situations, which are described by the interaction of the individual sensors installed in the vehicle (e.g. vehicle dynamics, level sensors, camera), are much more complex. In the paper, a development tool consisting of high-performance projectors and the HELLA simulation software ALiSiA is presented. The aim is a dynamic visualization of the entire system to optimize the development process.

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Zhang, Bao Long, Wei Qi Ding, Shao Jing Zhang, and Hui Shuang Shi. "Realization of Automatic Keystone Correction for Smart Mini Projector Projection Screen." Applied Mechanics and Materials 519-520 (February 2014): 504–9. http://dx.doi.org/10.4028/www.scientific.net/amm.519-520.504.

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With the rapid development of mobile internet, the projector becomes the terminal of mobile internet because of the network module embedded in smart projectors, which can provide a more convenient viewing experience. For traditional mini projector just as simple display equipment, the integration of Android operating system makes mini projector smarter, it is equivalent to a simple PC with projection function. This paper discusses the projection screen keystone distortion phenomenon of mini projector equipped with Android operating system under limiting projection environment because of different placement angle and how to eliminate the above-mentioned distortion, after elaborating the software and hardware architecture of smart mini projector, it focuses upon an analysis on how to achieve automatic correction of the projection screen using the digital acceleration sensor in hardware driver of the Android operating system.

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