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Journal articles on the topic 'Three dimensional space'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 June 2024

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1

Ahmadi, P. "Cohomogeneity One Dynamics on Three Dimensional Minkowski Space." Zurnal matematiceskoj fiziki, analiza, geometrii 15, no. 2 (September 25, 2016): 155–69. http://dx.doi.org/10.15407/mag15.02.155.

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2

Rajesh, Chelluru Venkata Surya, and Narise Venkatesh. "Multi-Joint Robot Transfer System in Three Dimensional Space." International Journal of Trend in Scientific Research and Development Volume-2, Issue-1 (December 31, 2017): 1132–33. http://dx.doi.org/10.31142/ijtsrd7192.

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3

Egorov, Yaroslav, and Victor Fainshtein. "Kinematic characteristics of stealth CME in three-dimensional space." Solar-Terrestrial Physics 8, no. 3 (September 30, 2022): 13–21. http://dx.doi.org/10.12737/stp-83202202.

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We have studied and compared kinematic characteristics of the motion of coronal mass ejections (CMEs) in three-dimensional (3D) space for three groups of CMEs for the period 2008–2014. These CME groups include: (i) stealth CMEs, (ii) CMEs that originate on the visible side of the Sun (for an observer on Earth) and are associated with X-ray flares and filament eruption, (iii) all CMEs registered during the given period. Stealth CMEs are CMEs that emerge on the visible side of the Sun and are unrelated to X-ray flares, as well as to filament eruption. We compare kinematic and some physical characteristics of these CMEs with those of a separate group of CMEs, classified as stealth in [D’Huys et al., 2014]. After comparing the characteristics of the three CME groups (i)–(iii), we concluded that stealth CMEs have, on average, the lowest velocity, kinetic energy, mass and angular size, central position angle, and also the angle φ between the direction of CME motion in the ecliptic plane and the Sun–Earth line and the angle λ between the direction of CME motion in 3D space and the ecliptic plane. We also discuss distributions of CMEs of different types by kinematic characteristics.

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4

Hall, G. S., T. Morgan, and Z. Perj�s. "Three-dimensional space-times." General Relativity and Gravitation 19, no. 11 (November 1987): 1137–47. http://dx.doi.org/10.1007/bf00759150.

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5

Yoon, Dae Won. "Surfaces of revolution in the three dimensional pseudo-Galilean space." Glasnik Matematicki 48, no. 2 (December 16, 2013): 415–28. http://dx.doi.org/10.3336/gm.48.2.13.

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6

Skaar, S. B., W. H. Brockman, and W. S. Jang. "Three-Dimensional Camera Space Manipulation." International Journal of Robotics Research 9, no. 4 (August 1990): 22–39. http://dx.doi.org/10.1177/027836499000900402.

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7

Schoumans, N., A. C. Sittig, and J. J. D. van der Gon. "Pointing in Three-Dimensional Space." Perception 25, no. 1_suppl (August 1996): 136. http://dx.doi.org/10.1068/v96p0104.

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We studied the localisation of objects in three-dimensional space. We had subjects direct a small pointer towards a small goal object, from 20 positions on a virtual sphere around the goal. Images of the pointer and the goal were generated by presenting computer images to the subject's left and right eye alternately. The distance between the goal and pointer was approximately 10 deg arc, the length of the pointer was approximately 2 deg arc. Subjects could manipulate the pointer by pressing specific keys on the keyboard. We tested 7 subjects. The adjustments were repeated 5 – 7 times, which resulted in a cluster of indicated directions for each of the 20 pointer positions and each subject. These clusters appeared to lie in a plane perpendicular to the frontoparallel plane. In other words, the variance in the in-depth component of the adjustments was considerably larger than the frontoparallel component. Subjects showed consistent and individual deviations in the in-depth adjustments. All subjects showed very similar constant deviations in the frontoparallel components of the adjustments. These constant deviations proved comparable to the deviations demonstrated earlier in a three-dot alignment task in the frontoparallel plane. We conclude that the three-dimensional pointing task can be seen as a combination of two independent tasks: an in-depth adjustment and a frontoparallel task.

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8

Castle, Toen, Myfanwy E. Evans, Stephen T. Hyde, Stuart Ramsden, and Vanessa Robins. "Trading spaces: building three-dimensional nets from two-dimensional tilings." Interface Focus 2, no. 5 (January 25, 2012): 555–66. http://dx.doi.org/10.1098/rsfs.2011.0115.

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We construct some examples of finite and infinite crystalline three-dimensional nets derived from symmetric reticulations of homogeneous two-dimensional spaces: elliptic ( S 2 ), Euclidean ( E 2 ) and hyperbolic ( H 2 ) space. Those reticulations are edges and vertices of simple spherical, planar and hyperbolic tilings. We show that various projections of the simplest symmetric tilings of those spaces into three-dimensional Euclidean space lead to topologically and geometrically complex patterns, including multiple interwoven nets and tangled nets that are otherwise difficult to generate ab initio in three dimensions.

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9

LEE, Geunho, Kazutaka TATARA, Yasuhiro NISHIMURA, and Nak Young CHONG. "2A1-G10 Decentralized Self-configuration of Robot Swarms in Three Dimensional Space." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2010 (2010): _2A1—G10_1—_2A1—G10_2. http://dx.doi.org/10.1299/jsmermd.2010._2a1-g10_1.

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10

Artikbaev, A., and B. M. Mamadaliyev. "Features of the geometry of the five-dimensional pseudo-Euclidean space of index two." E3S Web of Conferences 531 (2024): 03007. http://dx.doi.org/10.1051/e3sconf/202453103007.

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The article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective metrics are realized in its subspaces. In the sphere of the imaginary radius of space, de Sitter space is realized. Here there is a space with projective metrics in the sense of Cayley-Klein. It is a three-dimensional space with a metric that preserves space on itself when mapped linearly. The corresponding linear transformation is called the motion of this space. An interpretation of de Sitter space in a four-dimensional pseudo-Euclidean space is proved. Studies have confirmed that in subspaces of space , in addition to elliptic spaces, there is a geometry of three-dimensional spaces with projective metrics. De Sitter space of the second kind is also realized in the sphere of imaginary radius. De Sitter space is a geodesic mapping in four-dimensional Minkowski space.

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11

Duck, P. W. "Three-dimensional marginal separation." Journal of Fluid Mechanics 202 (May 1989): 559–75. http://dx.doi.org/10.1017/s0022112089001291.

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The three-dimensional marginal separation of a boundary layer along a line of symmetry is considered. The key equation governing the displacement function is derived, and found to be a nonlinear integral equation in two space variables. This is solved iteratively using a pseudospectral approach, based partly in double Fourier space, and partly in physical space. Qualitatively the results are similar to previously reported two-dimensional results (which are also computed to test the accuracy of the numerical scheme); however quantitatively the three-dimensional results are much different.

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12

Andersen, George J. "Focused attention in three-dimensional space." Perception & Psychophysics 47, no. 2 (March 1990): 112–20. http://dx.doi.org/10.3758/bf03205975.

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13

KOYAMA, Kazuhito, Akira MORITA, Masahiro MIZUTA, and Yoshiharu Sato. "Projection Persuit into three dimensional space." Kodo Keiryogaku (The Japanese Journal of Behaviormetrics) 25, no. 1 (1998): 1–9. http://dx.doi.org/10.2333/jbhmk.25.1.

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14

Schoumans, Nicole, and Jan J. Denier van der Gon. "Exocentric Pointing in Three-Dimensional Space." Perception 28, no. 10 (October 1999): 1265–80. http://dx.doi.org/10.1068/p2713.

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15

Ishii, Masahiro, and Shuichi Sato. "Pseudo-Haptics in three-dimensional space." Journal of The Institute of Image Information and Television Engineers 66, no. 6 (2012): J188—J191. http://dx.doi.org/10.3169/itej.66.j188.

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16

Kalnins, E. G., G. C. Williams, W. Miller, and G. S. Pogosyan. "Superintegrability in three-dimensional Euclidean space." Journal of Mathematical Physics 40, no. 2 (February 1999): 708–25. http://dx.doi.org/10.1063/1.532699.

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17

Kennard, C. H. L. "A three-dimensional space-group model." Journal of Applied Crystallography 22, no. 1 (February 1, 1989): 76. http://dx.doi.org/10.1107/s0021889888011835.

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18

Brisson, Gabriel F., Kaj M. Gartz, Benton J. McCune, Kevin P. O'Brien, and Clifford A. Reiter. "Symmetric attractors in three-dimensional space." Chaos, Solitons & Fractals 7, no. 7 (July 1996): 1033–51. http://dx.doi.org/10.1016/0960-0779(95)00094-1.

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19

Jiang, Botao, and Fuyu Zhao. "ICONE19-43067 Application of data mining in three-dimensional space time reactor model." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2011.19 (2011): _ICONE1943. http://dx.doi.org/10.1299/jsmeicone.2011.19._icone1943_22.

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20

Thorisson, Kristinn R. "Estimating Three-Dimensional Space from Multiple Two-Dimensional Views." Presence: Teleoperators and Virtual Environments 2, no. 1 (January 1993): 44–53. http://dx.doi.org/10.1162/pres.1993.2.1.44.

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The most common visual feedback technique in teleoperation is in the form of monoscopic video displays. As robotic autonomy increases and the human operator takes on the role of a supervisor, three-dimensional information is effectively presented by multiple, televised, two-dimensional (2-D) projections showing the same scene from different angles. To analyze how people go about using such segmented information for estimations about three-dimensional (3-D) space, 18 subjects were asked to determine the position of a stationary pointer in space; eye movements and reaction times (RTs) were recorded during a period when either two or three 2-D views were presented simultaneously, each showing the same scene from a different angle. The results revealed that subjects estimated 3-D space by using a simple algorithm of feature search. Eye movement analysis supported the conclusion that people can efficiently use multiple 2-D projections to make estimations about 3-D space without reconstructing the scene mentally in three dimensions. The major limiting factor on RT in such situations is the subjects' visual search performance, giving in this experiment a mean of 2270 msec (SD = 468; N = 18). This conclusion was supported by predictions of the Model Human Processor (Card, Moran, & Newell, 1983), which predicted a mean RT of 1820 msec given the general eye movement patterns observed. Single-subject analysis of the experimental data suggested further that in some cases people may base their judgments on a more elaborate 3-D mental model reconstructed from the available 2-D views. In such situations, RTs and visual search patterns closely resemble those found in the mental rotation paradigm (Just & Carpenter, 1976), giving RTs in the range of 5-10 sec.

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21

Zhu, Chen, Rex E. Gerald II, Yizheng Chen, and Jie Huang. "One-dimensional sensor learns to sense three-dimensional space." Optics Express 28, no. 13 (June 16, 2020): 19374. http://dx.doi.org/10.1364/oe.395282.

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22

Matsutani, Shigeki. "Quantum field theory on curved low-dimensional space embedded in three-dimensional space." Physical Review A 47, no. 1 (January 1, 1993): 686–89. http://dx.doi.org/10.1103/physreva.47.686.

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23

DOLOCAN, ANDREI, VOICU OCTAVIAN DOLOCAN, and VOICU DOLOCAN. "A COMPARISON BETWEEN THE TWO-DIMENSIONAL AND THREE-DIMENSIONAL LATTICES." Modern Physics Letters B 18, no. 25 (October 30, 2004): 1301–9. http://dx.doi.org/10.1142/s0217984904007712.

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By using a new Hamiltonian of interaction we have calculated the interaction energy for two-dimensional and three-dimensional lattices. We present also, approximate analytical formulae and the analytical formulae for the constant of the elastic force. The obtained results show that in the three-dimensional space, the two-dimensional lattice has the lattice constant and the cohesive energy which are smaller than that of the three-dimensional lattice. For appropriate values of the coupling constants, the two-dimensional lattice in a two-dimensional space has both the lattice constant and the cohesive energy, larger than that of the two-dimensional lattice in a three-dimensional space; this means that if there is a two-dimensional space in the Universe, this should be thinner than the three-dimensional space, while the interaction forces should be stronger. On the other hand, if the coupling constant in the two-dimensional lattice in the two-dimensional space is close to zero, the cohesive energy should be comparable with the cohesive energy from three-dimensional space but this two-dimensional space does not emit but absorbs radiation.

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24

Jeffery, Kathryn J., Aleksandar Jovalekic, Madeleine Verriotis, and Robin Hayman. "Navigating in a three-dimensional world." Behavioral and Brain Sciences 36, no. 5 (October 2013): 523–43. http://dx.doi.org/10.1017/s0140525x12002476.

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AbstractThe study of spatial cognition has provided considerable insight into how animals (including humans) navigate on the horizontal plane. However, the real world is three-dimensional, having a complex topography including both horizontal and vertical features, which presents additional challenges for representation and navigation. The present article reviews the emerging behavioral and neurobiological literature on spatial cognition in non-horizontal environments. We suggest that three-dimensional spaces are represented in a quasi-planar fashion, with space in the plane of locomotion being computed separately and represented differently from space in the orthogonal axis – a representational structure we have termed “bicoded.” We argue that the mammalian spatial representation in surface-travelling animals comprises a mosaic of these locally planar fragments, rather than a fully integrated volumetric map. More generally, this may be true even for species that can move freely in all three dimensions, such as birds and fish. We outline the evidence supporting this view, together with the adaptive advantages of such a scheme.

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25

Shimono, Koichi, Saori Aida, and Tsutomu Kusano. "Numerical discrimination in a three dimensional space." Proceedings of the Annual Convention of the Japanese Psychological Association 78 (September 10, 2014): 2PM—1–067–2PM—1–067. http://dx.doi.org/10.4992/pacjpa.78.0_2pm-1-067.

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26

Chen, Tower, and Zeon Chen. "Advantages of Three-Dimensional Space-Time Frames." Frontiers in Science 2, no. 3 (August 31, 2012): 18–23. http://dx.doi.org/10.5923/j.fs.20120203.01.

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27

Straley, Joseph P. "Crystals Defects in Curved Three-Dimensional Space." Materials Science Forum 4 (January 1985): 93–98. http://dx.doi.org/10.4028/www.scientific.net/msf.4.93.

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28

Rabinowitz, Mario. "Why observable space is solely three dimensional." Advanced Studies in Theoretical Physics 8 (2014): 689–700. http://dx.doi.org/10.12988/astp.2014.4675.

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29

BELOTT, PETER. "Venous Access: Navigation in Three-Dimensional Space." Pacing and Clinical Electrophysiology 30, no. 9 (September 2007): 1051–53. http://dx.doi.org/10.1111/j.1540-8159.2007.00813.x.

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30

Tsyrenova, V. B. "Complexes in three-dimensional quasi-hyperbolic space." Bulletin of the Buryat State University. Mathematics, Informatics. 1 (2016): 9–15. http://dx.doi.org/10.18101/2304-5728-2016-1-9-15.

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31

Kayahara, Kou, Koji Nishio, and Ken-ichi Kobori. "Crowd Behavior Animation in Three-Dimensional Space." Journal of the Institute of Image Information and Television Engineers 58, no. 4 (2004): 522–28. http://dx.doi.org/10.3169/itej.58.522.

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32

Deręgowski, Jan B., and Peter McGeorge. "Oppel – Kundt Illusion in Three-Dimensional Space." Perception 35, no. 10 (October 2006): 1307–14. http://dx.doi.org/10.1068/p5524.

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33

Jablan, S. V. "(p2,2l)-symmetry three-dimensional space groupsG3l,p2." Acta Crystallographica Section A Foundations of Crystallography 48, no. 3 (May 1, 1992): 322–28. http://dx.doi.org/10.1107/s0108767391013673.

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34

DERELİ, TEKİN, ADNAN TEĞMEN, and TUĞRUL HAKİOĞLU. "CANONICAL TRANSFORMATIONS IN THREE-DIMENSIONAL PHASE-SPACE." International Journal of Modern Physics A 24, no. 25n26 (October 20, 2009): 4769–88. http://dx.doi.org/10.1142/s0217751x09044760.

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Canonical transformation in a three-dimensional phase-space endowed with Nambu bracket is discussed in a general framework. Definition of the canonical transformations is constructed based on canonoid transformations. It is shown that generating functions, transformed Hamilton functions and the transformation itself for given generating functions can be determined by solving Pfaffian differential equations corresponding to that quantities. Types of the generating functions are introduced and all of them are listed. Infinitesimal canonical transformations are also discussed. Finally, we show that the decomposition of canonical transformations is also possible in three-dimensional phase space as in the usual two-dimensional one.

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35

Trotter, Yves. "Cortical Representation of Visual Three-Dimensional Space." Perception 24, no. 3 (March 1995): 287–98. http://dx.doi.org/10.1068/p240287.

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36

Button, Mark. "Policing Private Space – a three dimensional analysis." Criminal Justice Matters 68, no. 1 (June 2007): 20–21. http://dx.doi.org/10.1080/09627250708553278.

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37

Жихарев, Л., and L. Zhikharev. "Fractals In Three-Dimensional Space. I-Fractals." Geometry & Graphics 5, no. 3 (September 28, 2017): 51–66. http://dx.doi.org/10.12737/article_59bfa55ec01b38.55497926.

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It has long been known that there are fractals, which construction resolve into cutting out of elements from lines, curves or geometric shapes according to a certain law. If the fractal is completely self-similar, its dimensionality is reduced relative to the original object and usually becomes fractional. The whole fractal is often decomposing into a set of separate elements, organized in the space of corresponding dimension. German mathematician Georg Cantor was among the first to propose such fractal set in the late 19th century. Later in the early 20th century polish mathematician Vaclav Sierpinski described the Sierpinski carpet – one of the variants for the Cantor set generalization onto a two-dimensional space. At a later date the Austrian Karl Menger created a three-dimensional analogue of the Sierpinski fractal. Similar sets differ in a number of parameters from other fractals, and therefore must be considered separately. In this paper it has been proposed to call these fractals as i-fractals (from the Latin interfican – cut). The emphasis is on the three-dimensional i-fractals, created based on the Cantor and Sierpinski principles and other fractal dependencies. Mathematics of spatial fractal sets is very difficult to understand, therefore, were used computer models developed in the three-dimensional modeling software SolidWorks and COMPASS, the obtained data were processing using mathematical programs. Using fractal principles it is possible to create a large number of i-fractals’ three dimensional models therefore important research objectives include such objects’ classification development. In addition, were analyzed i-fractals’ geometry features, and proposed general principles for their creation.

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38

Kinahan, P. E., J. G. Rogers, R. Harrop, and R. R. Johnson. "Three-dimensional image reconstruction in object space." IEEE Transactions on Nuclear Science 35, no. 1 (February 1988): 635–38. http://dx.doi.org/10.1109/23.12802.

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39

Stevanov, Jasmina, and Johannes M. Zanker. "Exploring Mondrian Compositions in Three-Dimensional Space." Leonardo 53, no. 1 (February 2020): 63–69. http://dx.doi.org/10.1162/leon_a_01583.

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The dogmatic nature of Piet Mondrian’s neoplasticism manifesto initiated a discourse about translating aesthetic ideals from paintings to 3D structures. Mondrian rarely ventured into architectural design, and his unique interior design of “Salon de Madame B … à Dresden” was not executed. The authors discuss physical constraints and perceptual factors that conflict with neoplastic ideals. Using physical and virtual models of the salon, the authors demonstrate challenges with perspective projections and show how such distortions could be minimized in a cylinder. The paradoxical percept elicited by a “reverspective” Mondrian-like space further highlights the essential role of perceptual processes in reaching neoplastic standards of beauty.

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40

Huerta, Luis, and Jorge Zanelli. "Bose-Fermi transformation in three-dimensional space." Physical Review Letters 71, no. 22 (November 29, 1993): 3622–24. http://dx.doi.org/10.1103/physrevlett.71.3622.

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41

Parker, David H. "Moire patterns in three-dimensional Fourier space." Optical Engineering 30, no. 10 (1991): 1534. http://dx.doi.org/10.1117/12.55958.

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42

Wu, Qiong, Fengxiang Guo, Hongqing Li, and Jingyu Kang. "Measuring landscape pattern in three dimensional space." Landscape and Urban Planning 167 (November 2017): 49–59. http://dx.doi.org/10.1016/j.landurbplan.2017.05.022.

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43

Hanna, Sean, and William Regli. "Representing and reasoning about three-dimensional space." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 25, no. 4 (October 12, 2011): 315–16. http://dx.doi.org/10.1017/s0890060411000187.

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44

Siripunvaraporn, Weerachai, Gary Egbert, Yongwimon Lenbury, and Makoto Uyeshima. "Three-dimensional magnetotelluric inversion: data-space method." Physics of the Earth and Planetary Interiors 150, no. 1-3 (May 2005): 3–14. http://dx.doi.org/10.1016/j.pepi.2004.08.023.

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45

Switkes, Eugene. "Contrast salience across three-dimensional chromoluminance space." Vision Research 48, no. 17 (August 2008): 1812–19. http://dx.doi.org/10.1016/j.visres.2008.05.014.

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46

Beneki, Chr C., G. Kaimakamis, and B. J. Papantoniou. "Helicoidal surfaces in three-dimensional Minkowski space." Journal of Mathematical Analysis and Applications 275, no. 2 (November 2002): 586–614. http://dx.doi.org/10.1016/s0022-247x(02)00269-x.

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47

Gordon, Dan, and R. Anthony Reynolds. "Image space shading of three-dimensional objects." Computer Vision, Graphics, and Image Processing 29, no. 1 (January 1985): 140. http://dx.doi.org/10.1016/s0734-189x(85)90157-4.

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48

Mitiche, Amar. "Three-dimensional space from optical flow correspondence." Computer Vision, Graphics, and Image Processing 42, no. 3 (June 1988): 306–17. http://dx.doi.org/10.1016/s0734-189x(88)80041-0.

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49

Badets, Arnaud. "Semantic sides of three-dimensional space representation." Behavioral and Brain Sciences 36, no. 5 (October 2013): 543. http://dx.doi.org/10.1017/s0140525x13000307.

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AbstractIn this commentary, I propose that horizontal and vertical dimensions of space are represented together inside a common metrics mechanism located in the parietal cortex. Importantly, this network is also involved in the processing of number magnitudes and environment-directed actions. Altogether, the evidence suggests that different magnitude dimensions could be intertwined with the horizontality and verticality of our world representation.

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50

Abu-Saymeh, Sadi, and Mowaffaq Hajja. "The Archimedean Arbelos in Three-dimensional Space." Results in Mathematics 52, no. 1-2 (July 17, 2008): 1–16. http://dx.doi.org/10.1007/s00025-008-0292-6.

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