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Relevant bibliographies by topics / Geometrical knowledge

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Academic literature on the topic 'Geometrical knowledge'

Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

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Journal articles on the topic "Geometrical knowledge"

1

Anderson, James A. D. W. "Representing geometrical knowledge." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 352, no. 1358 (August 29, 1997): 1129–39. http://dx.doi.org/10.1098/rstb.1997.0096.

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This paper introduces perspex algebra which is being developed as a common representation of geometrical knowledge. A perspex can currently be interpreted in one of four ways. First, the algebraic perspex is a generalization of matrices, it provides the most general representation for all of the interpretations of a perspex. The algebraic perspex can be used to describe arbitrary sets of coordinates. The remaining three interpretations of the perspex are all related to square matrices and operate in a Euclidean model of projective space–time, called perspex space. Perspex space differs from th

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Dehaene, Stanislas, Véronique Izard, Pierre Pica, and Elizabeth Spelke. "Core Knowledge of Geometry in an Amazonian Indigene Group." Science 311, no. 5759 (January 20, 2006): 381–84. http://dx.doi.org/10.1126/science.1121739.

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Does geometry constitute a core set of intuitions present in all humans, regardless of their language or schooling? We used two nonverbal tests to probe the conceptual primitives of geometry in the Mundurukú, an isolated Amazonian indigene group. Mundurukú children and adults spontaneously made use of basic geometric concepts such as points, lines, parallelism, or right angles to detect intruders in simple pictures, and they used distance, angle, and sense relationships in geometrical maps to locate hidden objects. Our results provide evidence for geometrical intuitions in the absence of schoo

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Jayawardana, Chandana. "Geometrical Knowledge in Early Sri Lanka." History of Science in South Asia 10 (July 31, 2022): 44–67. http://dx.doi.org/10.18732/hssa69.

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This article addresses on history of mathematics (specially one of its specific branch, geometry) in Sri Lanka. Despite the large amount of research on the history of mathematics in India, China and the Middle East, that on Sri Lanka still remains limited. Sri Lanka had close relations with all these regions from ancient times and knowldge on mathematics should not be an alien subject there. This article tries to address the paucity of research on the history of mathematics in Sri Lanka while emphasizing the local character of that ancient knowldge.

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Tièche, François, and Heinz Hügli. "From Topological Knowledge to Geometrical Map." IFAC Proceedings Volumes 31, no. 3 (March 1998): 81–86. http://dx.doi.org/10.1016/s1474-6670(17)44065-1.

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Werner, Markus, and Hans Stein. "Knowledge-based Engineering of Geometrical Data." ATZproduktion worldwide eMagazine 4, no. 1 (March 2011): 30–35. http://dx.doi.org/10.1365/s38312-011-0007-y.

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Tièche, François, and Heinz Hügli. "From topological knowledge to geometrical map." Control Engineering Practice 7, no. 6 (June 1999): 797–802. http://dx.doi.org/10.1016/s0967-0661(99)00026-x.

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Dal Magro, Tamires, and Manuel J. García-Perez. "On Euclidean diagrams and geometrical knowledge." THEORIA. An International Journal for Theory, History and Foundations of Science 34, no. 2 (September 25, 2019): 255. http://dx.doi.org/10.1387/theoria.20026.

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We argue against the claim that the employment of diagrams in Euclidean geometry gives rise to gaps in the proofs. First, we argue that it is a mistake to evaluate its merits through the lenses of Hilbert’s formal reconstruction. Second, we elucidate the abilities employed in diagram-based inferences in the Elements and show that diagrams are mathematically reputable tools. Finally, we complement our analysis with a review of recent experimental results purporting to show that, not only is the Euclidean diagram-based practice strictly regimented, it is rooted in cognitive abilities that are un

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Plotkin, T., and B. Plotkin. "Geometrical aspect of databases and knowledge bases." Algebra Universalis 46, no. 1 (June 2001): 131–61. http://dx.doi.org/10.1007/pl00000333.

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Salkov, Nikolay, and N. Kadikova. "Reforming of geometrical and graphic knowledge estimates." Геометрия и графика 1, no. 1 (June 14, 2013): 52–53. http://dx.doi.org/10.12737/475.

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Chen-Morris, Raz. "Geometry and the Making of Utopian Knowledge in Early Modern Europe." Nuncius 35, no. 2 (September 10, 2020): 387–412. http://dx.doi.org/10.1163/18253911-03502011.

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Abstract In his Della Pittura, Leon Battista Alberti initiated what I call a “utopian moment,” a philosophical and practical disposition fusing human ingenuity, geometry, and political harmony. This paper follows these notions as they evolved over the course of the sixteenth century and were embraced by the new science of Johannes Kepler and René Descartes, who reshaped these utopian dispositions with their new geometrical analyses of sight and light. In his Dioptrice, Kepler suggests a new science of refractions produced and manipulated artificially through lenses, their physical properties a

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Dissertations / Theses on the topic "Geometrical knowledge"

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Mak, Ming-wai. "The effects of geometer's sketchpad on mediating students' geometrical knowledge /." View the Table of Contents & Abstract, 2005. http://sunzi.lib.hku.hk/hkuto/record/B35288279.

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Veronese, Paula Cristina de Faria [UNESP]. "O ensino de geometria no ciclo II do ensino fundamental: um estudo analítico." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/91174.

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Made available in DSpace on 2014-06-11T19:24:55Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-08-24Bitstream added on 2014-06-13T19:52:49Z : No. of bitstreams: 1 veronese_pcf_me_mar.pdf: 1927091 bytes, checksum: 69ba6b8cc05d6f0dd527c178c70ac5b3 (MD5)<br>Esta pesquisa tem como objeto de análise o Ensino da Geometria no Ciclo II do Ensino Fundamental e algumas implicações políticas pedagógicas que cercam este tema. Trabalho realizado inicialmente em duas salas de 5ª séries de uma Escola Pública Estadual, de um pequeno município às margens do Rio Tietê, na qual um grupo de 20 alunos e

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Isik, Hakan. "Relationship of college student characteristics and inquiry-based geometrical optics instruction to knowledge of image formation with light-ray tracing." Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1201718813.

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Veronese, Paula Cristina de Faria. "O ensino de geometria no ciclo II do ensino fundamental : um estudo analítico /." Marília : [s.n.], 2009. http://hdl.handle.net/11449/91174.

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Orientador: José Carlos Miguel<br>Banca: Nelson Antonio Pirola<br>Banca: Dagoberto Buim Arena<br>Resumo: Esta pesquisa tem como objeto de análise o Ensino da Geometria no Ciclo II do Ensino Fundamental e algumas implicações políticas pedagógicas que cercam este tema. Trabalho realizado inicialmente em duas salas de 5ª séries de uma Escola Pública Estadual, de um pequeno município às margens do Rio Tietê, na qual um grupo de 20 alunos e seus conhecimentos geométricos, foram o foco inicial desta investigação. Os alunos com idades entre dez e doze anos, pertencentes cada dez, respectivamente, a u

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Sönnerhed, Wang Wei. "Mathematics textbooks for teaching : An analysis of content knowledge and pedagogical content knowledge concerning algebra in Swedish upper secondary education." Licentiate thesis, Institutionen för pedagogik, kommunikation och lärande, Göteborgs universitet, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-16949.

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In school algebra, using different methods including factorization to solve quadratic equations is one common teaching and learning topic at upper secondary school level. This study is about analyzing the algebra content related to solving quadratic equations and the method of factorization as presented in Swedish mathematics textbooks with subject matter content knowledge (CK) and pedagogical content knowledge (PCK) as analytical tools. Mathematics textbooks as educational resources and artefacts are widely used in classroom teaching and learning. What is presented in a textbook is often taug

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Zhang, Kefei. "Geometric model input and feature recognition knowledge base for EXCAP." Thesis, University of Manchester, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.330310.

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Bridge, Steven Frank. "Aspects of the geometric representation of knowledge for computer aided design." Thesis, Imperial College London, 1988. http://hdl.handle.net/10044/1/46974.

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Abbas, Ayman. "A modelling approach to individualised computer aided learning for geometric design." Thesis, University of Strathclyde, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.324096.

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Diligenti, Marcos Pereira. "A geometria da complexidade." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2006. http://hdl.handle.net/10183/8559.

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Esta tese consiste em um estudo sobre a concepção do conhecimento da Geometria nos cursos superiores de Arquitetura. Durante três semestres, desenvolvemos uma proposta de abordagem transdisciplinar no ensino da Geometria Descritiva, junto a seis turmas de estudantes da Pontifícia Universidade Católica do Rio Grande do Sul, que se constituiu no ensino dos conceitos geométricos, compreendidos em suas relações e interdependências com seus entornos histórico / culturais/ filosóficos/ epistemológicos. Aliados a esta postura, introduzimos os conceitos genéricos de solidariedade e criatividade, na fo

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Bento, Regina Thaise Ferreira. "Um estudo das geometrias prática e teórica presentes em The Pathewaie to Knowledge de Robert Recorde: possíveis diálogos." Pontifícia Universidade Católica de São Paulo, 2018. https://tede2.pucsp.br/handle/handle/21657.

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Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-11-28T09:08:47Z No. of bitstreams: 1 Regina Thaise Ferreira Bento.pdf: 2460878 bytes, checksum: a76eef8a10c705202f8c54f9b7f22996 (MD5)<br>Made available in DSpace on 2018-11-28T09:08:47Z (GMT). No. of bitstreams: 1 Regina Thaise Ferreira Bento.pdf: 2460878 bytes, checksum: a76eef8a10c705202f8c54f9b7f22996 (MD5) Previous issue date: 2018-08-27<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work we present the English mathematician Robert Record (1512-1558) and his treatise on geometry titled The P

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Books on the topic "Geometrical knowledge"

1

Ragione geometrica e legge in Thomas Hobbes. [Padua, Italy]: CEDAM, 2012.

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Die Erklärbarkeit von Erfahrung: Realismus und Subjektivität in Spinozas Theorie des menschlichen Geistes. Frankfurt: Klostermann, 2010.

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Sal'kov, Nikolay. Descriptive geometry: Designing surfaces. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1196545.

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In the textbook, in addition to the geometric design of surfaces, the elements of analytical and parametric geometries are proposed that contribute to the design and bring the result to a higher level of knowledge, as well as a frame method for designing surfaces. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of the specialties "Architect" and " Designer of the architectural environment "(qualifications "bachelor", "specialist", "master"). It may be useful for students of other fields of study.

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Hoyrup, Jens. Algebra in Cuneiform: Introduction to an Old Babylonian Geometrical Technique - Max PlanckResearch Library for the History and Development of Knowledge - Textbooks 2. Pro Business, 2017.

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Mann, Peter. Linear Algebra. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0037.

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This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree of mathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactly what is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, fo

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Mann, Peter. Differential Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0038.

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This chapter is key to the understanding of classical mechanics as a geometrical theory. It builds upon earlier chapters on calculus and linear algebra and frames theoretical physics in a new and useful language. Although some degree ofmathematical knowledge is required (from the previous chapters), the focus of this chapter is to explain exactlywhat is going on, rather than give a full working knowledge of the subject. Such an approach is rare in this field, yet is ever so welcome to newcomers who are exposed to this material for the first time! The chapter discusses topology, manifolds, form

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Spinoza, Benedictus de. The Ethics: Ethica Ordine Geometrico Demonstrata. IndyPublish.com, 2006.

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Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of

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Nagarajan, Vijaya. Embodied Mathematics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780195170825.003.0007.

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This chapter introduces ethnomathematics and discusses the multiple relationships between the kōlam and mathematics. Some of these mathematical properties align with women’s implicit framing knowledge of the kōlam. These ritual patterns are relevant to four key mathematical aspects: symmetry, fractals, array grammars and picture languages, and infinity. This chapter presents the concept of embodied mathematics and argues that Chandralekha’s choreographies embody the three dimensional kōlam. The dot kōlams and the square kōlams are symmetrical. Using geometric algorithms, mathematicians have fo

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The Pathway to Knowledge: Containing the first principles of Geometrie, as they may most aptly be applied unto practise, both for use of instruments Geometricall, and astronomicall and also for projection of plattes in every kinde, and therfore much necessary for all sortes of men. Mickleover, Derby, United Kingdom: TGR Renascent Books, 2009.

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Book chapters on the topic "Geometrical knowledge"

1

Zhang, Junping, Stan Z. Li, and Jue Wang. "Geometrical Probability Covering Algorithm." In Fuzzy Systems and Knowledge Discovery, 223–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11539506_29.

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Magnani, Lorenzo. "At the Origins of Geometrical Knowledge." In The Western Ontario Series in Philosophy of Science, 1–26. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-9622-5_1.

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Magnani, Lorenzo. "The Φαντασία in Ancient Geometrical Knowledge." In The Western Ontario Series in Philosophy of Science, 91–103. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-9622-5_4.

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Homan, Matthew. "Intuitive Knowledge: The Perfection of Reason." In Spinoza’s Epistemology through a Geometrical Lens, 181–226. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76739-6_7.

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Hoyles, Celia. "Modelling Geometrical Knowledge: The Case of the Student." In Intelligent Learning Environments: The Case of Geometry, 94–112. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-60927-5_7.

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Sebban, M., S. Rabaseda, and O. Boussaid. "Contribution of Related Geometrical Graphs in Pattern Recognition." In Studies in Classification, Data Analysis, and Knowledge Organization, 167–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-61159-9_15.

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Koh, Sungshik, and Phil Jung Kim. "Uncertainty Analysis Using Geometrical Property Between 2D-to-3D Under Affine Projection." In Fuzzy Systems and Knowledge Discovery, 898–907. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11881599_112.

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Rasson, Jean-Paul, Didier Jacquemin, and Vincent Bertholet. "A new geometrical hypothesis for clustering and discriminant analysis." In Studies in Classification, Data Analysis, and Knowledge Organization, 257–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-72253-0_36.

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Janning, Ruth, Tomáš Horváth, Andre Busche, and Lars Schmidt-Thieme. "GamRec: A Clustering Method Using Geometrical Background Knowledge for GPR Data Preprocessing." In IFIP Advances in Information and Communication Technology, 347–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33409-2_36.

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Favi, Claudio, Marco Mandolini, Federico Campi, Paolo Cicconi, Roberto Raffaeli, and Michele Germani. "Design for Manufacturing and Assembly: A Method for Rules Classification." In Lecture Notes in Mechanical Engineering, 354–59. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70566-4_56.

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AbstractThe paper provides a method to acquire, process, and represent DfMA rules to help designers and engineers in the development of mechanical products compliant with manufacturing and assembly technology. This research work wants to define a general method able to link DfMA design guidelines (knowledge engineering) with geometrical product features that are available by the investigation of the 3D model. Numerical parameters of design features are related to design guidelines for the identification of manufacturing and assembly issues within the analysis of the 3D model.

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Conference papers on the topic "Geometrical knowledge"

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Yaghouti Jafarabad, Majid, Vahid Kiani, Taha Hamedani, and Ahad Harati. "Depth image compression using geometrical wavelets." In 2014 6th Conference on Information and Knowledge Technology (IKT). IEEE, 2014. http://dx.doi.org/10.1109/ikt.2014.7030344.

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Malhotra, Reetu, Isheta Bansal, Muskan, and Mamtha Sandhu. "The smart anti COVID cradle with geometrical interventions." In DIDACTIC TRANSFER OF PHYSICS KNOWLEDGE THROUGH DISTANCE EDUCATION: DIDFYZ 2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0080637.

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Le, Van-Hung, Hai Vu, Thuy Thi Nguyen, Thi-Lan Le, Thi-Thanh-Hai Tran, Michiel Vlaminck, Wilfried Philips, and Peter Veelaert. "3D Object Finding Using Geometrical Constraints on Depth Images." In 2015 Seventh International Conference on Knowledge and Systems Engineering (KSE). IEEE, 2015. http://dx.doi.org/10.1109/kse.2015.17.

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"A novel watermarking scheme against geometrical distortions based on Contourlet transform." In 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2011). IEEE, 2011. http://dx.doi.org/10.1109/fskd.2011.6019838.

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Haddad, Jane, and Henry Stark. "Image restoration from a geometrical viewpoint." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.ml5.

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In the classical image restoration problem by constrained least-squares, a constraint on the noise variance is combined with a smoothing operation to restore the image and reduce the effect of ill-conditioning. The smoothing operation is not always easy to justify from a physical point of view and therefore has an ad-hoc flavor. We propose an alternative approach to image restoration based on Hilbert space ideas in which the restored image must be at the intersection of sets of vectors that are physically constrained. This approach allows for the incorporation of significant prior knowledge, a

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Venkata Krishna, K., Neeraj Paul Manelil, and M. P. Maiya. "Geometrical optimization of longitudinal cooling fins for metal hydride based hydrogen storage reactors." In 2021 International Conference on Computational Intelligence and Knowledge Economy (ICCIKE). IEEE, 2021. http://dx.doi.org/10.1109/iccike51210.2021.9410738.

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Ryston, Matěj. "Homemade geometrical models - Teaching general relativity at the secondary school level with activities." In DIDACTIC TRANSFER OF PHYSICS KNOWLEDGE THROUGH DISTANCE EDUCATION: DIDFYZ 2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0078427.

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Coelho, C., M. Straforini, and M. Campani. "Using geometrical rules and a priori knowledge for the understanding of indoor scenes." In British Machine Vision Conference 1990. British Machine Vision Association, 1990. http://dx.doi.org/10.5244/c.4.41.

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Koprowski, Robert, and Zygmunt Wrobel. "Methods for Acquiring Geometrical Properties in an Image Employed for Determining Image Stereo-Correspondence." In 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2008. http://dx.doi.org/10.1109/fskd.2008.553.

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Yao, Jianhua, Joseph E. Burns, Sasha Getty, James Stieger, and Ronald M. Summers. "Automated extraction of anatomic landmarks on vertebrae based on anatomic knowledge and geometrical constraints." In 2014 IEEE 11th International Symposium on Biomedical Imaging (ISBI 2014). IEEE, 2014. http://dx.doi.org/10.1109/isbi.2014.6867892.

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Reports on the topic "Geometrical knowledge"

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Zhao, Feng. Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation. Fort Belvoir, VA: Defense Technical Information Center, October 1997. http://dx.doi.org/10.21236/ada330093.

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Zhao, Feng. Practical Control Algorithms for Nonlinear Dynamical Systems Using Phase-Space Knowledge and Mixed Numeric and Geometric Computation. Fort Belvoir, VA: Defense Technical Information Center, September 1998. http://dx.doi.org/10.21236/ada353610.

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Yan, Yujie, and Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, May 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-c

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