Bibliographies thématiques / 3D Hilbert's curve

Littérature scientifique sur le sujet « 3D Hilbert's curve »

Auteur : Grafiati
Publié le 13 juillet 2024

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Articles de revues sur le sujet "3D Hilbert's curve"

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Ujang, Uznir, Francois Anton, Suhaibah Azri, Alias Abdul Rahman et Darka Mioc. « 3D Hilbert Space Filling Curves in 3D City Modeling for Faster Spatial Queries ». International Journal of 3-D Information Modeling 3, no 2 (avril 2014) : 1–18. http://dx.doi.org/10.4018/ij3dim.2014040101.

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The advantages of three dimensional (3D) city models can be seen in various applications including photogrammetry, urban and regional planning, computer games, etc. They expand the visualization and analysis capabilities of Geographic Information Systems on cities, and they can be developed using web standards. However, these 3D city models consume much more storage compared to two dimensional (2 D) spatial data. They involve extra geometrical and topological information together with semantic data. Without a proper spatial data clustering method and its corresponding spatial data access method, retrieving portions of and especially searching these 3D city models, will not be done optimally. Even though current developments are based on an open data model allotted by the Open Geospatial Consortium (OGC) called CityGML, its XML-based structure makes it challenging to cluster the 3D urban objects. In this research, the authors propose an opponent data constellation technique of space-filling curves (3D Hilbert curves) for 3D city model data representation. Unlike previous methods, that try to project 3D or n-dimensional data down to 2D or 3D using Principal Component Analysis (PCA) or Hilbert mappings, in this research, they extend the Hilbert space-filling curve to one higher dimension for 3D city model data implementations. The query performance was tested for single object, nearest neighbor and range search queries using a CityGML dataset of 1,000 building blocks and the results are presented in this paper. The advantages of implementing space-filling curves in 3D city modeling will improve data retrieval time by means of optimized 3D adjacency, nearest neighbor information and 3D indexing. The Hilbert mapping, which maps a sub-interval of the ([0,1]) interval to the corresponding portion of the d-dimensional Hilbert's curve, preserves the Lebesgue measure and is Lipschitz continuous. Depending on the applications, several alternatives are possible in order to cluster spatial data together in the third dimension compared to its clustering in 2 D.
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JIA, Lianyin, Binbin LIANG, Mengjuan LI, Yong LIU, Yinong CHEN et Jiaman DING. « Efficient 3D Hilbert Curve Encoding and Decoding Algorithms ». Chinese Journal of Electronics 31, no 2 (mars 2022) : 277–84. http://dx.doi.org/10.1049/cje.2020.00.171.

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Saniman, M. N. F., M. H. M Hashim, K. A. Mohammad, K. A. Abd Wahid, W. M. Wan Muhamad et N. H. Noor Mohamed. « Tensile Characteristics of Low Density Infill Patterns for Mass Reduction of 3D Printed Polylactic Parts ». International Journal of Automotive and Mechanical Engineering 17, no 2 (3 juillet 2020) : 7927–34. http://dx.doi.org/10.15282/ijame.17.2.2020.11.0592.

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Various infill patterns are introduced in 3D printing to generate low density objects that leads to reduced cost and fabrication time through mass reduction. However, as a trade-off, the strength of the 3D printed component is uncertain. Confusions arise in determining the infill pattern with highest value of tensile strength since most studies limited only to rectilinear, honeycomb, and concentric infill patterns. As consequences, there are very little information on rarely used infill patterns such as Hilbert curve, Archimedean cord and octagram spiral. Therefore, the purpose of this research is to investigate and compare the tensile strength and strain of all infill patterns in mass reduction of 3D printed components experimentally. Following ASTM D638 type III standard, ten tensile test specimens of each infill patterns with 20% density were printed with an FFF 3D printer and were then tested. It was found that Archimedean cords infill pattern had the highest specific tensile strength of 33.23×103 MPa∙mm3/g which made it as the optimum infill pattern for the mass reduction of 3D printed parts with a high tensile strength. On the other hand, having the highest specific tensile strain of 18.21×103 %∙mm3/g, concentric infill pattern was found to be more suitable for producing lightweight parts with a higher elongation before break. Additionally, Hilbert curve infill was the worst selection for mass reduction since it had the lowest values of specific tensile strength and specific strain of 19.80×103 MPa∙mm3/g and 8.34 %∙mm3/g, respectively. Nevertheless, the trends of tensile strength and strain of all six infill patterns had been obtained, especially for rarely investigated infill patterns of Archimedean cords, octagram spiral, and Hilbert curve. Specifically, the trend from the strongest to the weakest (in % compared to solid) for specific tensile strength is rectilinear (38.57%), Archimedean chords (37.29%), concentric (36.57%), octagram spiral (34.79%), honeycomb (27.84%), and Hilbert curve (22.25%), while for specific strain is concentric (102.6%), octagram spiral (83.94%), rectilinear (78.22%), Archimedean cords (77.99%), honeycomb (54.84%), and Hilbert curve (45.14%).
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Memon, Muhammad Usman, Manos M. Tentzeris et Sungjoon Lim. « Inkjet-printed 3D Hilbert-curve fractal antennas for VHF band ». Microwave and Optical Technology Letters 59, no 7 (16 mai 2017) : 1698–704. http://dx.doi.org/10.1002/mop.30613.

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Lopes, L., M. Almeida et D. Reis. « Influence of 3D microstructure for improving the thermal performance of building façades ». IOP Conference Series : Earth and Environmental Science 1196, no 1 (1 juin 2023) : 012064. http://dx.doi.org/10.1088/1755-1315/1196/1/012064.

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Abstract The thermal performance of a building is highly dependent on the heat transmission through the envelope. On the other hand, additive manufacturing has been increasingly used in several industrial applications due to its possibility to produce complex structures. However, most studies of the 3d printing process focused on mechanical performance. This study aims to evaluate how the internal 3D-printed microstructure affects thermal performance. Twelve infill patterns were analysed, including Gyroid, Grid, Hilbert curve, Line, Rectilinear, Stars Triangles, 3D Honeycomb, Honeycomb, Concentric, Cubic, and Octagram spiral. Using fused deposition modelling (FDM), the samples were printed with polyethene terephthalate-glycol (PET-G) thermoplastic filaments. Thermal tests were conducted using a calibrated hotbox, following the recommendations of ASTM C1363-11:2014. The results obtained show a variation of 70% by changing the internal microstructure using fix infill density of 25%. Concentric, Gyroid and Hilbert curve achieved the best thermal insulation properties.
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Nasu, Hirokazu. « The Hilbert Scheme of Space Curves of Degreedand Genus 3d−18 ». Communications in Algebra 36, no 11 (6 novembre 2008) : 4163–85. http://dx.doi.org/10.1080/00927870802175089.

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Eryildiz, Meltem. « The effects of infill patterns on the mechanical properties of 3D printed PLA parts fabricated by FDM ». Ukrainian Journal of Mechanical Engineering and Materials Science 7, no 1-2 (2021) : 1–8. http://dx.doi.org/10.23939/ujmems2021.01-02.001.

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The purpose of this study is to analyze the effect of the infill pattern on the mechanical properties of 3D printed PLA parts. Polylactic acid (PLA) parts were fabricated by fused deposition modeling (FDM) at various infill patterns at 30% infill density. Five different infill patterns (stars, 3D honeycomb, honeycomb, gyroid, Hilbert curve) have been investigated. The results have shown that the honeycomb infill pattern exhibited the highest mechanical properties with 29.43 MPa and 2.04 mm elongation due to the improved strength of the strut junctions in this pattern. In the case of the Hilbert curve pattern, compared to the other patterns, though they have the same infill density, tensile strength was lowest because of the presence of large air gaps in the pattern that induced rapid fracture during the test. The optical microscope images of the fracture surfaces were compatible with the tensile strength results. Also considering the build time and the spent filament, it can be said that the honeycomb infill pattern is very promising. Lastly, the results showed that the tensile strength and elongation of 3D printed PLA parts increased 43.4% and 32%, respectively, under optimum infill pattern conditions. The findings of this study will help manufacturing firms and researchers to decide on the appropriate infill pattern, so that FDM parts can be fabricated with minimal production cost and good mechanical properties.
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Papacharalampopoulos, Alexios, Harry Bikas et Panagiotis Stavropoulos. « Path planning for the infill of 3D printed parts utilizing Hilbert curves ». Procedia Manufacturing 21 (2018) : 757–64. http://dx.doi.org/10.1016/j.promfg.2018.02.181.

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Liu, Jian, Zhou Su, Chenyue Wang et Zhuofei Xu. « Effect of an Adaptive-Density Filling Structure on the Mechanical Properties of FDM Parts with a Variable Cross-Section ». Materials 15, no 24 (7 décembre 2022) : 8746. http://dx.doi.org/10.3390/ma15248746.

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Fused deposition modeling (FDM) technique is one of the most popular additive manufacturing techniques. Infill density is a critical factor influencing the mechanical properties of 3D-printed components using the FDM technique. For irregular components with variable cross-sections, to increase their overall mechanical properties while maintaining a lightweight, it is necessary to enhance the local infill density of the thin part while decreasing the infill density of the thick part. However, most current slicing software can only generate a uniform infill throughout one model to be printed and cannot adaptively create a filling structure with a varying infill density according to the dimensional variation of the cross-section. In the present study, to improve the mechanical properties of irregular components with variable cross-sections, an adaptive-density filling structure was proposed, in which Hilbert curve with the same order was used to fill each slice, i.e., the level of the Hilbert curves in each slice is the same, but the side length of the Hilbert curve decreases with the decreasing size of each slice; hence, the infill density of the smaller cross-section is greater than that of the larger cross-section. The ultimate bearing capacity of printed specimens with the adaptive-density filling structure was evaluated by quasi-static compression, three-point bending, and dynamic compression tests, and the printed specimens with uniform filling structure and the same overall infill density were tested for comparison. The results show that the maximum flexural load, the ultimate compression load, and the maximum impact resistance of the printed specimens with the adaptive-density filling structure were increased by 140%, 47%, and 82%, respectively, compared with their counterparts using the uniform filling structure.
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Mohan, Shashi Ranjan, Syed Nizamuddin Khaderi et Suryakumar Simhambhatla. « 3D Printing of Components with Tailored Properties Through Hilbert Curve Filling of a Discretized Domain ». 3D Printing and Additive Manufacturing 7, no 6 (1 décembre 2020) : 288–99. http://dx.doi.org/10.1089/3dp.2020.0048.

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Chapitres de livres sur le sujet "3D Hilbert's curve"

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Zhou, Chuanai, Huanqing Cui, Xiaojing Meng et Rong Hua. « Mobile Anchor-Assisted Localization in 3D Wireless Sensor Networks with Hilbert Curve ». Dans Advanced Technologies in Ad Hoc and Sensor Networks, 1–11. Berlin, Heidelberg : Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54174-2_1.

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Sinha, Rajesh Kumar, Priyambada Subudhi et Susanta Mukhopadhyay. « A Morphological Color Image Contrast Enhancement Technique Using Hilbert 3D Space Filling Curve ». Dans Advances in Intelligent Systems and Computing, 453–63. Singapore : Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8237-5_44.

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Actes de conférences sur le sujet "3D Hilbert's curve"

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Kamble, Akash Dilip, Ambrish Singh, Dipendra Singh, Dudul Das, Sajan Kapil et Pankaj Kalita. « Feasibility Study of Heat Transfer Enhancement in Solar Photovoltaic-Thermal Systems Using FDM Generated Novel Curved Thermal Absorbers ». Dans ASME 2023 Gas Turbine India Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/gtindia2023-118636.

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Abstract Global warming and climate change are the major global concerns in the recent past as far as power generation is concerned. Renewable energy power generation is extensively promoted for the reduction of harmful gas emissions resulting in global warming. Among all the renewable energy technologies solar energy has greater global potential as the sun’s radiation is received uniformly everywhere. Solar thermal and solar photovoltaic (PV) are the two prominent routes of converting sunlight into usable forms wherein PV technology is more accessible for domestic and commercial deployment of solar energy. With higher intensity radiations, PV systems experience 0.45% efficiency loss per degree rise in solar cell temperature. To address this difficulty, solar photovoltaic-thermal (PV/T) collectors are proposed. PV/T is a promising technology where the simultaneous generation of both electrical and thermal energy generation is possible. The present study addresses the current challenges associated with the existing PV/T collectors or absorbers. The problem of heat transfer rate enhancement consistently persists because of low surface area exposure and less cooling uniformity of thermal absorbers. PVT thermal absorbers which have been designed by existing curves or patterns like Raster, Spiral or Rectangular spiral, etc., fail to deliver the optimum outcomes because of the raised issues. The alternative novel type of curves has the potential to overcome these problems, categorized as space-filling curves and have a significant role in mathematical analysis. Spacefilling curves usually include the Hilbert curve, Peano curve, Grosper curve, Sierpinski curve, Z-curve, etc. with features like complex shapes or multiple turns and higher space-filling ratio, which will be favourable for designing a better PV/T thermal absorber. So, the proposed work will focus on the feasibility study of these space-filling curves as PV/T thermal absorbers for heat transfer enhancement, wherein investigation and identification of suitable novel space-filling curves as PV/T thermal absorbers have been performed for higher thermal and electrical efficiency. The investigation formulated an analytical and computational analysis for finding the best suitable curve. The results of this analysis are compared to the existing curves as PV/T thermal absorbers to find a better alternative. The Hilbert curve is found to accommodate a larger tube length at the back of the PV panel, which facilitates a higher surface area and exhibits 9.676%, 35.237% and 14.576% increase in total surface area compared to Raster, Rectangular spiral and Peano curves respectively for heat transfer. Furthur, the time taken to extract the available heat to reach steady state condition from the specified PV panel surface by the Hilbert curve pattern is the comparatively minimum from other available curve patterns, showing its ability of maximum heat transfer rate. Thus, the Hilbert curve is better than available space-filling curves, exhibiting Higher surface area and heat transfer rate superiority. The fabrication of such novel curved metal absorbers becomes costly and needs sophisticated instruments like 3D printing technology due to its intrigued pattern, which has a maximum number of turns in its single pathway. Thus, Prototype models were prepared by Fused Deposition Modelling (FDM) using PLA as filler material, showing the practicability of these novel curves as PV/T thermal absorbers. Hence, to optimize efficiency, some novel types of space-filling curves, like the Hilbert curve, can be considered for full-scale PV/T thermal absorbers.
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Oliveira, Walter A. A. de, Celia A. Z. Barcelos, Gilson Giraldi et Denise Guliato. « HSD : A 3D shape descriptor based on the Hilbert curve and a reduction dimensionality approach ». Dans 2012 IEEE International Conference on Systems, Man and Cybernetics - SMC. IEEE, 2012. http://dx.doi.org/10.1109/icsmc.2012.6377693.

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Qin, Yongrui, Quan Z. Sheng, Nickolas J. G. Falkner, Wei Emma Zhang et Hua Wang. « Indexing Linked Data in a Wireless Broadcast System with 3D Hilbert Space-Filling Curves ». Dans CIKM '14 : 2014 ACM Conference on Information and Knowledge Management. New York, NY, USA : ACM, 2014. http://dx.doi.org/10.1145/2661829.2661890.

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