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Projective Geometry with Clifford algebra
 ACTA APPLICANDAE MATHEMATICAE
, 1991
"... Projective geometry is formulated in the language of geometric algebra, a unified mathematical language based on Clifford algebra. This closes the gap between algebraic and synthetic approaches to projective geometry and facilitates connections with the rest of mathematics. ..."
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Cited by 51 (9 self)
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Projective geometry is formulated in the language of geometric algebra, a unified mathematical language based on Clifford algebra. This closes the gap between algebraic and synthetic approaches to projective geometry and facilitates connections with the rest of mathematics.
Catadioptric Projective Geometry
 INTERNATIONAL JOURNAL OF COMPUTER VISION
, 2001
"... Catadioptric sensors are devices which utilize mirrors and lenses to form a projection onto the image plane of a camera. Central catadioptric sensors are the class of these devices having a single effective viewpoint. In this paper, we propose a unifying model for the projective geometry induced by ..."
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Cited by 116 (16 self)
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Catadioptric sensors are devices which utilize mirrors and lenses to form a projection onto the image plane of a camera. Central catadioptric sensors are the class of these devices having a single effective viewpoint. In this paper, we propose a unifying model for the projective geometry induced
Fuzzy projective geometries
"... In this paper we introduce a new model of fuzzy projective geometries. This model is richer than the one introduced in [4] and [5], since points and lines play a similar role, like they do in classical projective geometry. Furthermore, we will show that this new fuzzy projective geometry is closely ..."
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In this paper we introduce a new model of fuzzy projective geometries. This model is richer than the one introduced in [4] and [5], since points and lines play a similar role, like they do in classical projective geometry. Furthermore, we will show that this new fuzzy projective geometry is closely
Construction and classification of complex simple Lie algebras via projective geometry
 Selecta Math
"... projective geometry ..."
Representation Theory and Projective Geometry
, 2004
"... This article consists of three parts that are largely independent of one another. The first part deals with the projective geometry of homogeneous varieties, in particular their secant and tangential varieties. It culminates with an elementary construction of the compact Hermitian symmetric spaces ..."
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Cited by 24 (13 self)
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This article consists of three parts that are largely independent of one another. The first part deals with the projective geometry of homogeneous varieties, in particular their secant and tangential varieties. It culminates with an elementary construction of the compact Hermitian symmetric spaces
Projective geometry considered harmful
, 1999
"... Methods based on projective geometry have become popular in machine vision because they lead to elegant mathematics, and easytosolve linear equations [LonguettHiggins 81, Hartley 97a, Quan & Lan 99]. It is often not realized that one pays a heavy price for this. Such method do not correctly m ..."
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Cited by 7 (0 self)
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Methods based on projective geometry have become popular in machine vision because they lead to elegant mathematics, and easytosolve linear equations [LonguettHiggins 81, Hartley 97a, Quan & Lan 99]. It is often not realized that one pays a heavy price for this. Such method do not correctly
GALOIS THEORY AND PROJECTIVE GEOMETRY
"... Abstract. We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture. Invited paper for the special volume of Communications on Pure and Applied Mathematics for 75th Anniversary o ..."
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Cited by 3 (0 self)
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Abstract. We explore connections between birational anabelian geometry and abstract projective geometry. One of the applications is a proof of a version of the birational section conjecture. Invited paper for the special volume of Communications on Pure and Applied Mathematics for 75th Anniversary
Projective Geometry for All
"... Meighan Dillon (mdillon@spsu.edu) received a Ph.D. in mathematics from the University of Virginia and a B.A. in mathematics from Hunter College, where she began her love affair with geometry. She has taught for most of her career at Southern Polytechnic State University, soon to become part of Kenn ..."
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of Kennesaw State University, in metropolitan Atlanta, and in her spare time enjoys yoga, swimming, playing the piano, and endeavoring gamely to learn French. Some of us never got over the thrill of learning projective geometry for the first time, and why would we? Definition. A projective plane is a set
Projective geometry and special relativity
, 2006
"... Some concepts of real and complex projective geometry are applied to the fundamental physical notions that relate to Minkowski space and the Lorentz group. In particular, it is shown that the transition from an infinite speed of propagation for light waves to a finite one entails the replacement of ..."
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Some concepts of real and complex projective geometry are applied to the fundamental physical notions that relate to Minkowski space and the Lorentz group. In particular, it is shown that the transition from an infinite speed of propagation for light waves to a finite one entails the replacement
Results 1  10
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5,628