Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 28 for “"projective geometry"”.
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Projective Geometry for Perfectoid Spaces
… algebraic variety we often embed it in various projective spaces. This develops the notion of projective geometry which has been an invaluable tool in algebraic geometry. We develop a perfectoid analog of projective geometry, and explore how equipping a perfectoid space with a map to a certain …
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A Projective Geometry as a Lattice
PROBLEM: Lattice theory and projective geometry are two seemingly unrelated branches of mathematics. With the proper approach a projective geometry can be shown to be a lattice.<br>PROCEDURE: A lattice is developed using two different approaches and group theory is introduced. Next the relationship …
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Euclidean proofs of projective geometry theorems /
Thesis (M.A.)--University of Kansas, Mathematics, 1922. ; Includes bibliographical references.
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Vortices, Painlevé integrability and projective geometry
… two chapters present the following results in projective differential geometry and Hamiltonians of hydrodynamic-type systems. It is shown that the projective structures defined by the Painlevé equations are not metrisable unless either the corresponding equations admit first integrals quadratic …
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A syllabus for a course in analytical projective geometry
Projective geometry: a boundless domain of countless fields where reals and imaginaries, finites and infinities, enter on equal terms, where the spirit delights in the artistic balance and symmeric interplay of a kind of conceptual and logical counterpoint, - an enchanted realm where thought is …
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Searching for Constructed Form: A Station for Projective Geometry
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.
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The Minimum Rank Problem Over Finite Fields
… leads to a very strong connection to projective geometry and we apply projective geometry results to the minimum rank problem.
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On the primarity of some block intersection graphs
… on Steiner triple systems obtained from projective geometry. Our objects are subgeometries as blocks. These subgeometries are collected into systems and we study them as designs and graphs. Considered recursively is a further tactical con guration on some of the designs obtained and in …
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Poncelet polygons through the lenses of orthogonal polynomials on the unit circle, finite Blaschke products, and numerical ranges.
… in this thesis fall in the intersection of projective geometry, complex analysis, and linear algebra. Each of these three fields gives a canonical construc-tion of families of polygons inscribed in the unit circle with interlacing vertices. In projective geometry, we consider Poncelet curves …
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Analysis of errors in generative image and video models
… analyzing errors in generated images relating to projective geometry and shadows at a population level. We find that generated images can be reliably distinguished from real images by derived geometric features alone without looking at pixels. Then, we introduce methods that can effectively judge …
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Thrust Network Analysis : exploring three-dimensional equilibrium
… loading within a defined envelope. Using projective geometry, duality theory and linear optimization, it provides a graphical and intuitive method, adopting the same advantages of techniques such as graphic statics, but offering a viable extension to fully three-dimensional problems. The …
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Sedenion extension loops and frames of hypercomplex 2[superscript n]-ons
… of the frames of the 2n-ons fits in the projective geometry PG(n - 1, 2). In doing so, it is convenient to consider this projective geometry from several different viewpoints: as a design, in terms of Nim addition, and as the geometry of linear subspaces of a vector space. It is then …
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Metodología proyectiva en espacios no convencionales : aplicaciones al plano ciclico
… spaces, the ancient knowledge of the classic Projective Geometry. In order to show it, we choose the space of circles like a non-conventional projective space. We cali this space ciclic plañe £ and it is a three-dimensional projective space. Firstly, we have defined the geometric entities that …
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Projective minimal analysis of camera geometry
… 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 …
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Analysis of Mathematical Fiction with Geometric Themes
… of geometric topics were analyzed: plane geometry, solid geometry, projective geometry, axiomatics, topology, and the historical foundations of geometry. Geometry textbooks aligned with these categories were discussed with regard to mathematical fiction and formal learning. Cultural …
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Geometry-based structural analysis and design via discrete stress functions
… from Maxwell’s 19th century graphic statics, projective geometry and rigidity theory to provide an interactive design and analysis framework through which information about designed structural performance can be geometrically encoded in the form of the characteristics of the stress function. …
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Design of flexure-based motion stages for mechatronic systems via Freedom, Actuation and Constraint Topologies (FACT)
… rapidly conveys the mathematics of screw theory, projective geometry, and constraint-based design by visually depicting regions where constraints and actuators may be placed for synthesizing optimal flexure concepts. In this way, designers may consider every flexure concept that satisfies the …
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