Relevant bibliographies by topics / Computing geometry

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Computing geometry'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Computing geometry"

1

Hanson, Andrew J., Gerardo Ortiz, Amr Sabry, and Yu-Tsung Tai. "Geometry of discrete quantum computing." Journal of Physics A: Mathematical and Theoretical 46, no. 18 (2013): 185301. http://dx.doi.org/10.1088/1751-8113/46/18/185301.

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Lloyd, S. "QUANTUM COMPUTING: Computation from Geometry." Science 292, no. 5522 (2001): 1669. http://dx.doi.org/10.1126/science.1062065.

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Hanson, Andrew J., Gerardo Ortiz, Amr Sabry, and Yu-Tsung Tai. "Corrigendum: Geometry of discrete quantum computing." Journal of Physics A: Mathematical and Theoretical 49, no. 3 (2015): 039501. http://dx.doi.org/10.1088/1751-8113/49/3/039501.

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PIAO, Y., and J. SATO. "Computing Epipolar Geometry from Unsynchronized Cameras." IEICE Transactions on Information and Systems E91-D, no. 8 (2008): 2171–78. http://dx.doi.org/10.1093/ietisy/e91-d.8.2171.

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Botana, Francisco, and Tomas Recio. "Computing envelopes in dynamic geometry environments." Annals of Mathematics and Artificial Intelligence 80, no. 1 (2016): 3–20. http://dx.doi.org/10.1007/s10472-016-9500-3.

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Zeeman, Christopher. "Three-dimensional theorems for schools." Mathematical Gazette 89, S1 (2005): 1–92. http://dx.doi.org/10.1017/s0025557200590421.

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Geometry is gradually coming back into the school syllabus, but so far only 2-dimensional geometry. I would like to make a case for including some 3-dimensional geometry as well, because the latter is vital for describing the world throughout science, engineering and architecture. Higher-dimensional geometry also comprises a major part of modern research within mathematics itself. Also 3-dimensional geometry fosters both our intuitive understanding and our geometric imagination. It teaches us to see things in the round. It also trains us to see all sides of an argument simultaneously, as oppos
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El Khaldi, Khaldoun, and Elias G. Saleeby. "On the density of lines and Santalo’s formula for computing geometric size measures." Monte Carlo Methods and Applications 26, no. 4 (2020): 315–23. http://dx.doi.org/10.1515/mcma-2020-2071.

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AbstractMethods from integral geometry and geometric probability allow us to estimate geometric size measures indirectly. In this article, a Monte Carlo algorithm for simultaneous estimation of hyper-volumes and hyper-surface areas of a class of compact sets in Euclidean space is developed. The algorithm is based on Santalo’s formula and the Hadwiger formula from integral geometry, and employs a comparison principle to assign geometric probabilities. An essential component of the method is to be able to generate uniform sets of random lines on the sphere. We utilize an empirically established
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Lansdown, John. "Not only computing — also art." ITNOW 31, no. 10 (1989): 16–17. https://doi.org/10.1093/combul/31.10.16.

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Abstract It will come as no surprise to regular readers of these columns that I have something of an obsession with geometry. I developed this interest when I was a student in the 1940s and 1950s but, except at the purely practical level of technical drawing, my enthusiasm rarely seemed to be shared by others. Good texts on geometry were hard to come by and, in the eyes of many academics, the subject seemed to be dead or dying. Currently, I am glad to say, this fascinating discipline is enjoying a resurgence.
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Nessel, Michał, and Szymon Filipowski. "EXAMPLES OF GENETIC ALGORITHMS USAGE IN GEOMETRY AND ALGORITHMIC DESIGN." Boletim da Aproged, no. 34 (December 2018): 31–36. http://dx.doi.org/10.24840/2184-4933_2018-0034_0004.

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In this paper, the authors test genetic algorithms as geometric and design issues’ solvers to explain and explore the possibilities of this computing technique in design and research. The tests and explanations are based on three classical geometry problems of the Ancient Greece and on a pattern distribution algorithm, created by the authors and inspired by the definition of Lebesgue covering dimension. The basic tools for research are: Rhinoceros, the Grasshopper plug-in and the Galapagos tool. The tests prove that, as a result based on computing techniques, genetic algorithms can be used to
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Gyulassy, A., P. Bremer, and V. Pascucci. "Computing Morse-Smale Complexes with Accurate Geometry." IEEE Transactions on Visualization and Computer Graphics 18, no. 12 (2012): 2014–22. http://dx.doi.org/10.1109/tvcg.2012.209.

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Dissertations / Theses on the topic "Computing geometry"

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Pennec, Xavier. "Statistical Computing on Manifolds for Computational Anatomy." Habilitation à diriger des recherches, Université de Nice Sophia-Antipolis, 2006. http://tel.archives-ouvertes.fr/tel-00633163.

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During the last decade, my main research topic was on medical image analysis, and more particularly on image registration. However, I was also following in background a more theoretical research track on statistical computing on manifolds. With the recent emergence of computational anatomy, this topic gained a lot of importance in the medical image analysis community. During the writing of this habilitation manuscript, I felt that it was time to present a more simple and uni ed view of how it works and why it can be important. This is why the usual short synthesis of the habilitation became a
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Rappaport, David 1955. "The complexity of computing simple circuits in the plane /." Thesis, McGill University, 1986. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=75339.

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As far back as Euclid's ruler and compass constructions, computation and geometry have been domains for the exploration and development of fundamental mathematical concepts and ideas. The invention of computers has spurred new research in computation, and now with a variety of applications couched in the fundamentals of Euclidean geometry, the study of geometric algorithms has again become a popular mathematical pursuit.<br>In this thesis, the computational aspects of a fundamental problem in Euclidean geometry is examined. Given a set of line segments in the Euclidean plane, one is asked to c
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Griffith, Kenfield A. (Kenfield Allistair). "Design computing of complex-curved geometry using digital fabrication methods." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/34986.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Architecture, 2006.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Includes bibliographical references (leaves 64-65).<br>The production of design information for digital fabrication is presented in this thesis. This thesis outlines the research of generating information for physical construction as architectural models of complex curved walls built from unique units. A series of computer programs and physical models as example
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Harrison, Anthony Westbrook. "Algorithms for Computing the Lattice Size." Kent State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=kent1529781033957183.

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Osanlou, Ardeshir. "Soft computing and fractal geometry in signal processing and pattern recognition." Thesis, De Montfort University, 2000. http://hdl.handle.net/2086/4242.

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Li, Kuiyu. "Computing Homological Features for Shapes." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1282072779.

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Wills, Michael Thomas. "Computing the trace of an endomorphism of a supersingular elliptic curve." Thesis, Virginia Tech, 2021. http://hdl.handle.net/10919/103821.

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We provide an explicit algorithm for computing the trace of an endomorphism of an elliptic curve which is given by a chain of small-degree isogenies. We analyze its complexity, determining that if the length of the chain, the degree of the isogenies, and the log of the field-size are all O(n), the trace of the endomorphism can be computed in O(n⁶) bit operations. This makes explicit a theorem of Kohel which states that such a polynomial time algorithm exists. The given procedure is based on Schoof's point-counting algorithm.<br>Master of Science<br>The developing technology of quantum computer
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wang, zhiqiang. "STUDYING COMPUTATIONAL METHODS FOR BIOMEDICAL GEOMETRY EXTRACTION AND PATIENT SPECIFIC HEMODYNAMICS." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1493042299659479.

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Hadzihasanovic, Amar. "The algebra of entanglement and the geometry of composition." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:711fc159-cd6a-42c3-a4b6-7ed7f594f781.

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String diagrams turn algebraic equations into topological moves that have recurring shapes, involving the sliding of one diagram past another. We individuate, at the root of this fact, the dual nature of polygraphs as presentations of higher algebraic theories, and as combinatorial descriptions of "directed spaces". Operations of polygraphs modelled on operations of topological spaces are used as the foundation of a compositional universal algebra, where sliding moves arise from tensor products of polygraphs. We reconstruct several higher algebraic theories in this framework. In this regard, t
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Schulz, Henrik. "Polyhedral Surface Approximation of Non-Convex Voxel Sets and Improvements to the Convex Hull Computing Method." Forschungszentrum Dresden, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:d120-qucosa-27865.

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In this paper we introduce an algorithm for the creation of polyhedral approximations for objects represented as strongly connected sets of voxels in three-dimensional binary images. The algorithm generates the convex hull of a given object and modifies the hull afterwards by recursive repetitions of generating convex hulls of subsets of the given voxel set or subsets of the background voxels. The result of this method is a polyhedron which separates object voxels from background voxels. The objects processed by this algorithm and also the background voxel components inside the convex hull of
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Books on the topic "Computing geometry"

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Dingzhu, Du, and Hwang Frank, eds. Computing in Euclidean geometry. World Scientific, 1992.

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Dingshu, Du, and Hwang Frank, eds. Computing in Euclidean geometry. 2nd ed. World Scientific, 1995.

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John, Woodwark, ed. Introduction to computing with geometry. Information Geometers, 1993.

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Garanzha, Vladimir A., Lennard Kamenski, and Hang Si, eds. Numerical Geometry, Grid Generation and Scientific Computing. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76798-3.

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Garanzha, Vladimir A., Lennard Kamenski, and Hang Si, eds. Numerical Geometry, Grid Generation and Scientific Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23436-2.

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Garanzha, Vladimir, and Lennard Kamenski, eds. Numerical Geometry, Grid Generation and Scientific Computing. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-59652-0.

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M, Hoffmann Christoph, ed. Advances in computing research. JAI Press, 1992.

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Hildenbrand, Dietmar. Foundations of Geometric Algebra Computing. Springer Berlin Heidelberg, 2013.

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Barger, Raymond L. Automatic procedures for computing complete configuration geometry for individual component descriptions. National Aeronautics and Space Administration, Langley Research Center, 1994.

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Barger, Raymond L. Automatic procedures for computing complete configuration geometry from individual component descriptions. Langley Research Center, 1994.

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Book chapters on the topic "Computing geometry"

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Wilkinson, Leland. "Geometry." In Statistics and Computing. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3100-2_6.

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Lazard, Daniel. "Computing with parameterized varieties." In Algebraic Geometry and Geometric Modeling. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33275-6_4.

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Li, Hongbo, David Hestenes, and Alyn Rockwood. "Spherical Conformal Geometry with Geometric Algebra." In Geometric Computing with Clifford Algebras. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04621-0_3.

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Sabin, Malcolm. "Geometry Sensitive Schemes." In Geometry and Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13648-1_28.

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Llompart, F. Rosselló, and S. Xambó Descamps. "Computing chow groups." In Algebraic Geometry Sundance 1986. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082916.

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Duchin, Moon, and Olivia Walch. "Law, computing and redistricting in the 1960s." In Political Geometry. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-319-69161-9_8.

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Galligo, A., and J. P. Pavone. "A sampling algorithm computing self-intersections of parametric surfaces." In Algebraic Geometry and Geometric Modeling. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33275-6_12.

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Sabin, Malcolm. "Functions and Curves." In Geometry and Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13648-1_1.

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Sabin, Malcolm. "z-transforms." In Geometry and Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13648-1_10.

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Sabin, Malcolm. "An introduction to some regularly-appearing characters." In Geometry and Computing. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13648-1_11.

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Conference papers on the topic "Computing geometry"

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Srikantha, H., V. A. Mishra, V. J. Vijayalakshmi, Ankit Punia, S. Bhuvaneswari, and Prakhar Goyal. "Computational Geometry and Image-Based Modeling." In 2024 15th International Conference on Computing Communication and Networking Technologies (ICCCNT). IEEE, 2024. http://dx.doi.org/10.1109/icccnt61001.2024.10725320.

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Song, Zhe, Yi Zhang, Xingxing Zhu, Yang Yu, Zeyu Cheng, and Chengkai Tang. "UAV Networks Geometry Configuration Aided Cooperative Positioning Algorithm." In 2024 IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC). IEEE, 2024. https://doi.org/10.1109/icspcc62635.2024.10770389.

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Amin, Md Nur, and Alexander Jesser. "Riemannian Geometry for Fairness in Attention Mechanisms of Language Models." In 2025 19th International Conference on Semantic Computing (ICSC). IEEE, 2025. https://doi.org/10.1109/icsc64641.2025.00039.

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Qing, Ni, and Wang Zhengzhi. "Geometric invariants using geometry algebra." In 2011 IEEE 2nd International Conference on Computing, Control and Industrial Engineering (CCIE 2011). IEEE, 2011. http://dx.doi.org/10.1109/ccieng.2011.6008094.

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Ghosh, Partha, Takaaki Goto, and Soumya Sen. "Computing Skyline Using Taxicab Geometry." In 2017 5th Intl Conf on Applied Computing and Information Technology/4th Intl Conf on Computational Science/Intelligence and Applied Informatics/2nd Intl Conf on Big Data, Cloud Computing, Data Science (ACIT-CSII-BCD). IEEE, 2017. http://dx.doi.org/10.1109/acit-csii-bcd.2017.35.

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Brandt, Howard E. "Differential geometry of quantum computing." In SPIE Defense and Security Symposium, edited by Eric J. Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2008. http://dx.doi.org/10.1117/12.785542.

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Karasik, Y. B., and M. Sharir. "Optical Algorithms in Geometry." In Optical Computing. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/optcomp.1993.owe.9.

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We consider the application of optical computational operations to problems that arise in various geometric applications, such as computer graphics, image processing, pattern matching. etc. We show how to implement, using only a constant number of basic optical operations, a variety of algorithms that solve fairly complex tasks of this sort. We discuss the methodology that we propose, list the geometric algorithms that we have developed to date, and illustrate the approach in two more detailed applications, motivated by computer graphics and pattern matching: drawing all possible lines connect
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Piao, Ying, and Jun Sato. "Computing Epipolar Geometry from Unsynchronized Cameras." In 14th International Conference on Image Analysis and Processing (ICIAP 2007). IEEE, 2007. http://dx.doi.org/10.1109/iciap.2007.4362823.

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Pagh, Rasmus. "Session details: Geometry." In STOC '09: Symposium on Theory of Computing. ACM, 2009. http://dx.doi.org/10.1145/3257429.

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Lowther, John L., and Ching-Kuang Shene. "Computing with geometry as an undergraduate course." In the thirty-second SIGCSE technical symposium. ACM Press, 2001. http://dx.doi.org/10.1145/364447.364558.

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Reports on the topic "Computing geometry"

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Preparata, Franco P., Pankaj K. Agarwal, Roberto Tamassia, Jeffrey S. Vitter, and Michael T. Goodrich. Applicable and Robust Geometric Computing. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada398645.

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Goldak, J. L51647 Welding on Fluid Filled and Pressurized Pipelines-Transient 3D Analysis. Pipeline Research Council International, Inc. (PRCI), 2000. http://dx.doi.org/10.55274/r0011356.

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The objective of this project was to determine if research in Computational Weld Mechanics had matured to the stage where it could simulate the process of welding on a pressurized pipeline and provide useful estimates of the risk of burn-through. To achieve that objective we have compared the results of our FEM analyzes of several welds with the experimental data reported in "http://www.prci.com/publications/L51763.htm" PR-185-9515, Repair of Pipelines by Direct Deposition of Weld Metal: Further Studies. The temperature and deformation predicted by our FEM analysis agrees quite well with the e
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Тарасова, Олена Юріївна, and Ірина Сергіївна Мінтій. Web application for facial wrinkle recognition. Кривий Ріг, КДПУ, 2022. http://dx.doi.org/10.31812/123456789/7012.

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Facial recognition technology is named one of the main trends of recent years. It’s wide range of applications, such as access control, biometrics, video surveillance and many other interactive humanmachine systems. Facial landmarks can be described as key characteristics of the human face. Commonly found landmarks are, for example, eyes, nose or mouth corners. Analyzing these key points is useful for a variety of computer vision use cases, including biometrics, face tracking, or emotion detection. Different methods produce different facial landmarks. Some methods use only basic facial landmar
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AN ANALYTICAL METHOD FOR EVALUATING THE DEFLECTION AND LOAD-BEARING AND ENERGY ABSORPTION CAPACITY OF ROCKFALL RING NETS CONSIDERING MULTIFACTOR INFLUENCE. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/ijasc.2022.18.3.1.

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In this study, an analytical method for evaluating the structural performance, including maximum deflection, load-bearing, and energy absorption capacity of a steel wire-ring net, was proposed to effectively design the ring net of the flexible barrier systems. Puncture tests of the ring nets and two-point traction tests of the three-ring chains with various wire-ring specifications were conducted. Correlation analysis was used to test the results between ring nets and chains, revealing that three structural performance indicators of the test specimens were strongly related. The ring net’s stru
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SIAM Conference on Geometric Design and Computing. Final Technical Report. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/821108.

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METAL BEAMS SUSCEPTIBLE TO OUT-OF-PLANE INSTABILITY DUE TO COMBINED COMPRESSION AND BENDING WITH GEOMETRIC IMPERFECTIONS. The Hong Kong Institute of Steel Construction, 2024. https://doi.org/10.18057/ijasc.2024.20.4.10.

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The parts of the second generation of Eurocodes are continuously published. The full set of the 2nd generation of these new European standards consists of 68 parts of Eurocodes, 15 Technical Specifications and 5 Technical Reports and they will all be available in 2028. The aim of the paper is to bridge the gap concerning one of the newest and the most complex UGLI (Unique Global and Local Initial) imperfection methods. According to EN 1993-1-1:2022, ultimate limit state design checks may be carried out using methods of analysis named hereafter as M0, M1, M2, M3, M4, M5 or EM. Both Eurocodes EN
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