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Dissertations / Theses on the topic 'Geometry, Projective'

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Published: 4 June 2021

Last updated: 31 July 2024

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1

Winroth, Harald. "Dynamic projective geometry." Doctoral thesis, Stockholm : Tekniska högsk, 1999. http://www.lib.kth.se/abs99/winr0324.pdf.

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2

Wong, Tzu Yen. "Image transition techniques using projective geometry." University of Western Australia. School of Computer Science and Software Engineering, 2009. http://theses.library.uwa.edu.au/adt-WU2009.0149.

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[Truncated abstract] Image transition effects are commonly used on television and human computer interfaces. The transition between images creates a perception of continuity which has aesthetic value in special effects and practical value in visualisation. The work in this thesis demonstrates that better image transition effects are obtained by incorporating properties of projective geometry into image transition algorithms. Current state-of-the-art techniques can be classified into two main categories namely shape interpolation and warp generation. Many shape interpolation algorithms aim to p

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3

Romano, Raquel Andrea. "Projective minimal analysis of camera geometry." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/29231.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2002.<br>Includes bibliographical references (p. 115-120).<br>This thesis addresses the general problem of how to find globally consistent and accurate estimates of multiple-view camera geometry from uncalibrated imagery of an extended scene. After decades of study, the classic problem of recovering camera motion from image correspondences remains an active area of research. This is due to the practical difficulties of estimating many interacting camera parameters under a variety of un

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4

Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model

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5

Marino, Nicholas John. "Vector Bundles and Projective Varieties." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1544457943307018.

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6

Beardsley, Paul Anthony. "Applications of projective geometry to robot vision." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.316854.

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7

O'Keefe, Christine M. "Concerning t-spreads of PG ((s + 1) (t + 1)- 1, q)." Title page, contents and summary only, 1987. http://web4.library.adelaide.edu.au/theses/09PH/09pho41.pdf.

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8

Niall, Keith. "Projective invariance and visual perception." Thesis, McGill University, 1987. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=75782.

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Six experiments tested the assumption that, in visual perception, observers have reliable and direct access to the equivalence of shapes in projective geometry (I call this "the invariance hypothesis in the theory of shape constancy"). This assumption has been made in the study of vision since Helmholtz's time. Two experiments tested recognition of the projective equivalence of planar shapes. In another four experiments, subjects estimated the apparent shape of a solid object from different perspectives. Departure from projective equivalence was assessed in each study by measuring the cross ra

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9

Hønsen, Morten. "Compactifying locally Cohen-Macaulay projective curves." Doctoral thesis, Stockholm, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-470.

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10

Ellis, Amanda. "Classification of conics in the tropical projective plane /." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd1104.pdf.

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11

McCallum, Rupert Gordon Mathematics &amp Statistics Faculty of Science UNSW. "Generalisations of the fundamental theorem of projective geometry." Publisher:University of New South Wales. Mathematics & Statistics, 2009. http://handle.unsw.edu.au/1959.4/43385.

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The fundamental theorem of projective geometry states that a mapping from a projective space to itself whose range has a sufficient number of points in general position is a projective transformation possibly combined with a self-homomorphism of the underlying field. We obtain generalisations of this in many directions, dealing with the case where the mapping is only defined on an open subset of the underlying space, or a subset of positive measure, and dealing with many different spaces over many different rings.

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12

Herman, Ivan. "The use of projective geometry in computer graphics /." Berlin ;Heidelberg ;New York ;London ;Paris ;Tokyo ;Hong Kong ;Barcelona ;Budapest : Springer, 1992. http://www.loc.gov/catdir/enhancements/fy0815/91043253-d.html.

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13

Goetz, Peter D. "The noncommutative algebraic geometry of quantum projective spaces /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3102165.

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Thesis (Ph. D.)--University of Oregon, 2003.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 106-108). Also available for download via the World Wide Web; free to University of Oregon users.

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14

Fleming, Patrick Scott. "Finite projective planes and related topics." Laramie, Wyo. : University of Wyoming, 2006. http://proquest.umi.com/pqdweb?did=1225126281&sid=1&Fmt=2&clientId=18949&RQT=309&VName=PQD.

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15

NOJA, SIMONE. "TOPICS IN ALGEBRAIC SUPERGEOMETRY OVER PROJECTIVE SPACES." Doctoral thesis, Università degli Studi di Milano, 2018. http://hdl.handle.net/2434/554352.

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In questa tesi vengono studiati alcuni argomenti in supergeometria algebrica, con particolare attenzione al caso in cui le varietà ridotte delle supervarietà in esame siano spazi proiettivi complessi $\mathbb{P}^n$. Dopo aver introdotto le definizioni di base e alcune nozioni generali della supergeometria, viene studiata in dettaglio la geometria dei superspazi proiettivi $\mathbb{P}^{n|m}$. In questo contesto, vengono dati risultati sulla struttura e la coomologia dei fasci invertibili, sugli automorfismi e le deformazioni infinitesime. Attenzione speciale è riservata al caso della supercurva

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16

Oxenham, Martin Glen. "On n-covers of PG (3,q) and related structures /." Title page, contents and introduction only, 1991. http://web4.library.adelaide.edu.au/theses/09PH/09pho98.pdf.

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17

Cook, Gary Russell. "Arcs in a finite projective plane." Thesis, University of Sussex, 2011. http://sro.sussex.ac.uk/id/eprint/7510/.

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The projective plane of order 11 is the dominant focus of this work. The motivation for working in the projective plane of order 11 is twofold. First, it is the smallest projective plane of prime power order such that the size of the largest (n, r)-arc is not known for all r ∈ {2,...,q + 1}. It is also the smallest projective plane of prime order such that the (n; 3)-arcs are not classified. Second, the number of (n, 3)-arcs is significantly higher in the projective plane of order 11 than it is in the projective plane of order 7, giving a large number of (n, 3)-arcs for study. The main applica

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18

Frost, George. "The projective parabolic geometry of Riemannian, Kähler and quaternion-Kähler metrics." Thesis, University of Bath, 2016. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.690742.

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We present a uniform framework generalising and extending the classical theories of projective differential geometry, c-projective geometry, and almost quaternionic geometry. Such geometries, which we call \emph{projective parabolic geometries}, are abelian parabolic geometries whose flat model is an R-space $G\cdot\mathfrak{p}$ in the infinitesimal isotropy representation $\mathbb{W}$ of a larger self-dual symmetric R-space $H\cdot\mathfrak{q}$. We also give a classification of projective parabolic geometries with $H\cdot\mathfrak{q}$ irreducible which, in addition to the aforementioned class

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19

Heuel, Stephan. "[Uncertain projective geometry] [statistical reasoning for polyhedral object reconstruction]." [Berlin Heidelberg] [Springer], 2002. http://dx.doi.org/10.1007/b97201.

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20

Heuel, Stephan. "Uncertain projective geometry : statistical reasoning for polyhedral object reconstruction /." Berlin [u.a.] : Springer, 2004. http://www.loc.gov/catdir/enhancements/fy0813/2004104982-d.html.

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21

Eskeland, II John T. "Searching for Constructed Form: A Station for Projective Geometry." Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/78192.

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The project is dreamed as a monumental edifice standing beside the rail corridor of South-Western Virginia. Two pairs of towers rise from the earth transitioning from squares to ellipses. The towers are cut mid-ascent to shape an eastern face, orienting the project and the rail traffic beneath.<br>Master of Architecture

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22

Ruffoni, Lorenzo <1989&gt. "The Geometry of Branched Complex Projective Structures on Surfaces." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amsdottorato.unibo.it/7860/1/ruffoni_lorenzo_tesi.pdf.

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We study the geometry of deformations of structures locally modelled on the Riemann sphere, up to branched covers, focusing on structures with quasi-Fuchsian holonomy and on structures which admit holomorphically trivial deformations. Applications to Riemann-Hilbert problems are discussed.

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23

Arsie, Alessandro. "On "special" embeddings in complex and projective algebraic geometry." Doctoral thesis, SISSA, 2001. http://hdl.handle.net/20.500.11767/4302.

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24

Castro, Renata Brandão de [UNESP]. "Tópicos da geometria projetiva." Universidade Estadual Paulista (UNESP), 2012. http://hdl.handle.net/11449/94354.

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Made available in DSpace on 2014-06-11T19:27:09Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-10-09Bitstream added on 2014-06-13T20:55:47Z : No. of bitstreams: 1 castro_rb_me_rcla.pdf: 774630 bytes, checksum: b9499068a589a33827880e026c206fd9 (MD5)<br>Neste projeto tratamos da Geometria Projetiva advinda da generalização da Geometria Afim do Plano Euclidiano. Estabelecemos um Sistema Axiomático para a Geometria Projetiva e provamos resultados de sustentabilidade para esta geometria, sobretudo resultados sobre Perspectivas e Projeções. Também exploramos Cônicas dentro deste contexto.

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25

Castro, Renata Brandão de. "Tópicos da geometria projetiva /." Rio Claro : [s.n.], 2012. http://hdl.handle.net/11449/94354.

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Orientador: Elíris Cristina Rizziolli<br>Banca: Grazielle Feliciani Barbosa<br>Banca: Carina Alves<br>Resumo: Neste projeto tratamos da Geometria Projetiva advinda da generalização da Geometria Afim do Plano Euclidiano. Estabelecemos um Sistema Axiomático para a Geometria Projetiva e provamos resultados de sustentabilidade para esta geometria, sobretudo resultados sobre Perspectivas e Projeções. Também exploramos Cônicas dentro deste contexto. O principal livro usado como referência deste trabalho foi [1] de Judith Cederberg e como textos auxiliares consultaremos [2] e [3]<br>Abstract: This pr

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26

Neretin, Yurii A., and Andreas Cap@esi ac at. "Geometry of GL$_n$(C) on Infinity: Hinges, Projective Compactifications." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi971.ps.

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27

Shabbir, Ghulam. "Curvature and projective symmetries in space-times." Thesis, University of Aberdeen, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364690.

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In this thesis a number of problems concerning proper curvature collineations, proper Weyl collineations and projective vector fields will be considered. The work on the above areas can be summarised as: (i) A study of proper curvature collineations in plane symmetric static, spherically symmetric static and Bianchi type <I>I</I> spacetimes will be presented by considering the rank of their 6 x 6 Riemann tensors and using a theorem which eliminates those space-times where proper curvature collineations can not exist; (ii) A study of proper Weyl collineations is given by using the algebraic cla

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28

Pichanick, E. V. D. "Bounds for complete arcs in finite projective planes." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/63459/.

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This thesis uses algebraic and combinatorial methods to study subsets of the Desarguesian plane IIq = PG(2, q). Emphasis, in particular, is given to complete (k, n)-arcs and plane projective curves. Known Diophantine equations for subsets of PG(2, q), no more than n of which are collinear, have been applied to k-arcs of arbitrary degree. This yields a new lower bound for complete (k, n)-arcs in PG(2, q) and is a generalization of a classical result of Barlotti. The bound is one of few known results for complete arcs of arbitrary degree and establishes new restrictions upon the parameters of as

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29

Hamed, Zainab Shehab. "Arcs of degree four in a finite projective plane." Thesis, University of Sussex, 2018. http://sro.sussex.ac.uk/id/eprint/77816/.

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The projective plane, PG(2;q), over a Galois field Fq is an incidence structure of points and lines. A (k;n)-arc K in PG(2;q) is a set of k points such that no n+1 of them are collinear but some n are collinear. A (k;n)-arc K in PG(2;q) is called complete if it is not contained in any (k+1;n)-arc. The existence of arcs for particular values of k and n pose interesting problems in finite geometry. It connects with coding theory and graph theory, with important applications in computer science. The main problem, known as the packing problem, is to determine the largest size mn(2;q) of K in PG(2;

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30

Leite, Douglas Gonçalves. "Método de perspectiva e Brouillon project : dois estudos de Desargues sobre perspectiva e geometria de projeções /." Rio Claro, 2018. http://hdl.handle.net/11449/154504.

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Orientador: Marcos Vieira Teixeira<br>Resumo: O presente trabalho discorre a respeito de dois textos do arquiteto e matemático francês Girard Desargues. As obras que aqui chamamos de Método de Perspectiva (1636) e Brouillon Project (1639), foram desenvolvidas em um período com ampla produção teórica relacionada a técnicas de representação. No trabalho de 1636 Desargues descreveu o processo necessário para representar uma gaiola em perspectiva. No trabalho, Brouillon Project, ele trata de propriedades geométricas envolvendo feixe de retas aproximando-se dos conceitos existentes no campo das pro

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31

Lo, Giudice Alessio. "Some topics on Higgs bundles over projective varieties and their moduli spaces." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4100.

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In this thesis we study vector bundles on projective varieties and their moduli spaces. In Chapters 2, 3 and 4 we recall some basic notions as Higgs bundles, decorated bundles and generalized parabolic sheaves and introduce the problem we want to study. In chapter 5, we study Higgs bundles on nodal curves. After moving the problem on the normalization of the curve, starting from a Higgs bundle we obtain a generalized parabolic Higgs bundle. Using decorated bundles we are able to construct a projective moduli space which parametrizes equivalence classes of Higgs bundles on a nodal curve X. This

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32

Flórez, Rigoberto. "Four studies in geometry of biased graphs." Online access via UMI:, 2005.

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33

Heuel, Stephan [Verfasser]. "[Uncertain projective geometry] : [statistical reasoning for polyhedral object reconstruction] / [Stephan Heuel]." [Berlin, 2004. http://d-nb.info/972277110/34.

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34

Ellis, Amanda. "Classifcation of Conics in the Tropical Projective Plane." BYU ScholarsArchive, 2005. https://scholarsarchive.byu.edu/etd/697.

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This paper defines tropical projective space, TP^n, and the tropical general linear group TPGL(n). After discussing some simple examples of tropical polynomials and their hypersurfaces, a strategy is given for finding all conics in the tropical projective plane. The classification of conics and an analysis of the coefficient space corresponding to such conics is given.

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35

Yoon, Young-jin. "Characterizations of Some Combinatorial Geometries." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc277894/.

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We give several characterizations of partition lattices and projective geometries. Most of these characterizations use characteristic polynomials. A geometry is non—splitting if it cannot be expressed as the union of two of its proper flats. A geometry G is upper homogeneous if for all k, k = 1, 2, ... , r(G), and for every pair x, y of flats of rank k, the contraction G/x is isomorphic to the contraction G/y. Given a signed graph, we define a corresponding signed—graphic geometry. We give a characterization of supersolvable signed graphs. Finally, we give the following characterization of non

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36

McKinnon, David N. R. "The multiple view geometry of implicit curves and surfaces /." [St. Lucia, Qld.], 2006. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19677.pdf.

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37

Packer, S. "On sets of odd type and caps in Galois geometries of order four." Thesis, University of Sussex, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262299.

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38

Giuzzi, Luca. "Hermitian varieties over finite fields." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.326913.

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39

Tate, Dominic. "On the Fock-Goncharov Moduli Space for Real Projective Structures on Surfaces: Cell Decomposition, Buildings and Compactification." Thesis, The University of Sydney, 2020. https://hdl.handle.net/2123/22342.

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Let S be a non-compact surface with empty boundary and negative Euler characteristic. Fock and Goncharov [2006, 2007] devise coordinate systems for the space of properly convex projective structures on S and for the space of doubly-decorated finite-area projective structures on S. These are known as the spaces of X-coordinates and A-coordinates respectively. We use the former to provide straightforward proofs of known results regarding the moduli space of convex projective structures on surfaces of finite area, due to Marquis [2010], and closed surfaces, due to Goldman [1990]. The latter coord

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40

Huang, Jen-Fa. "On finding generator polynomials and parity-check sums of binary projective geometry codes." Thesis, University of Ottawa (Canada), 1985. http://hdl.handle.net/10393/4800.

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41

White, Clinton T. Wilson R. M. "Two cyclic arrangement problems in finite projective geometry : parallelisms and two-intersection sets /." Diss., Pasadena, Calif. : California Institute of Technology, 2002. http://resolver.caltech.edu/CaltechETD:etd-06052006-143933.

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42

Oliveira, Júnior José William de. "Três pontos de vista sobre cônicas." Mestrado Profissional em Matemática, 2018. http://ri.ufs.br/jspui/handle/riufs/9321.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In the present work, we tried to investigate the conics in the synthetic, analytical and projective contexts, as well as to know some applications and properties of these curves. In the synthetic approach, it was emphasized a lithe of the historical aspects, the works made by Apollonius and Dandelin, a characterization for tangent and normal lines and re ecting properties. In the analytical approach, the Cartesian, polar and parametric equations were described, as well as the applications in the Kepler Laws. In the pr

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43

Culbert, Craig W. "Spreads of three-dimensional and five-dimensional finite projective geometries." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 101 p, 2009. http://proquest.umi.com/pqdweb?did=1891555371&sid=3&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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44

Abuaf, Roland. "Dualité homologique projective et résolutions catégoriques des singularités." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENM057/document.

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Soit $X$ une variété algébrique de Gorenstein à singularités rationnelles. Une résolution des singularités crépante de $X$ est souvent considérée comme une résolution des singularités minimales de $X$. Malheureusement, les résolutions crépantes sont très rares. Ainsi, les variétés déterminantielles de matrices anti-symétriques n'admettent jamais de résolution crépante des singularités. Dans cette thèse, on discutera de diverses notions de résolutions catégoriques crépantes développées par Alexander Kuznetsov. Conjecturalement, ces résolutions doivent être minimale du point de vue catégorique.

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45

Velebová, Jana. "Fotogrammetrická analýza obrazů." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2011. http://www.nusl.cz/ntk/nusl-412846.

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This thesis is dedicated photogrammetric image analysis that makes it possible from your photos with the help selected methods to determine the location and dimensions of objects recorded on them. There are explained the basics of photogrammetry and its current application. Chapters focused on digital imaging describing its characteristics, treatment options and key points findability for the scene calibration. For a comprehensive view are in this thesis introduced examples of existing software, its possibilities and use in practice.

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46

Vereecke, Sam K. J. "Some properties of arcs, caps and quadrics in projective spaces in finite order." Thesis, University of Sussex, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263915.

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47

Andrade, Andréa Ferreira Faccioni de [UNESP]. "Um estudo da geometria projetiva elíptica." Universidade Estadual Paulista (UNESP), 2015. http://hdl.handle.net/11449/134030.

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Made available in DSpace on 2016-02-05T18:29:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-10-05. Added 1 bitstream(s) on 2016-02-05T18:33:04Z : No. of bitstreams: 1 000857275.pdf: 1760867 bytes, checksum: d6a76ab24ce9acf6844b3d3d0df2ebe4 (MD5)<br>Neste trabalho realizamos o estudo da Geometria Elíptica baseado no livro Introdução à Geometria Projetiva de Abdênago Alves de Barros e Plácido Francisco de Assis Andrade. A fim de apresentar este tema de forma didática, desenvolvemos alguns tópicos da álgebra linear e da geometria analítica que serão utilizados no decorrer deste traba

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Andrade, Andréa Ferreira Faccioni de. "Um estudo da geometria projetiva elíptica /." Rio Claro, 2015. http://hdl.handle.net/11449/134030.

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Orientador: Alice Kimie Miwa Libardi<br>Banca: Eliris Cristina Rizziolli<br>Banca: Marta Cilene Gadotti<br>Banca: Northon Canevari Leme Penteado<br>Resumo: Neste trabalho realizamos o estudo da Geometria Elíptica baseado no livro "Introdução à Geometria Projetiva" de Abdênago Alves de Barros e Plácido Francisco de Assis Andrade. A fim de apresentar este tema de forma didática, desenvolvemos alguns tópicos da álgebra linear e da geometria analítica que serão utilizados no decorrer deste trabalho. A Geometria Projetiva Elíptica é dividida em duas frentes: a Geometria Elíptica Dupla e a Geometria

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49

Zeng, Rui. "Homography estimation: From geometry to deep learning." Thesis, Queensland University of Technology, 2019. https://eprints.qut.edu.au/134132/1/Rui_Zeng_Thesis.pdf.

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Homography is an important area of computer vision for scene understanding and plays a key role in extracting relationships across different viewpoints of a scene. This thesis focuses on studying homography transformations between images from both geometric and deep learning perspectives. We have developed an accurate and effective homography estimation system for sports scenes analysis an efficient and novel 3D perspective feature to improve 3D object recognition especially for the vehicle recognition.

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50

Lai, Po-Lun. "Shape Recovery by Exploiting Planar Topology in 3D Projective Space." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1268187247.

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