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Advances in Applied Clifford Algebras, 2018
The authors define the Geometric Algebra for Conics (GAC) as a special Clifford algebra, together with a special embedding of two-dimensional Euclidean space. This is followed by the inner product representations of all the geometric entities available in GAC; these correspond to all possible conic sections and their intersections.
Jaroslav Hrdina +2 more
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The authors define the Geometric Algebra for Conics (GAC) as a special Clifford algebra, together with a special embedding of two-dimensional Euclidean space. This is followed by the inner product representations of all the geometric entities available in GAC; these correspond to all possible conic sections and their intersections.
Jaroslav Hrdina +2 more
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Clifford algebras and geometric algebra
Advances in Applied Clifford Algebras, 1997Let \(R^{p,q}\) be the universal Clifford algebra associated to a real vector space \(\mathbb{R}^n\), \(n=p+q\), equipped with a nondegenerated symmetric bilinear form \(B\) of signature \((p-q)\). Let \({\mathfrak G}\) be the infinite dimensional geometric algebra as introduced by \textit{D. Hestenes} and \textit{G.
Aragón, G. +2 more
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Practical Geometric Modeling Using Geometric Algebra Motors
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lopez Belon, Mauricio Cele +1 more
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Geometric Algebra in Linear Algebra and Geometry
Acta Applicandae Mathematica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pozo, José María, Sobczyk, Garret
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GEOMETRIC EQUIVALENCE OF ALGEBRAS
International Journal of Algebra and Computation, 2001In this paper, we study the geometric equivalence of algebras in several varieties of algebras. We solve some of the problems formulated in [2], in particular, that of geometric equivalence for real-closed fields and finitely generated commutative groups.
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2016
In this chapter, we consider a generalization of PCA in which the given sample points are drawn from an unknown arrangement of subspaces of unknown and possibly different dimensions.
René Vidal, Yi Ma, S. Shankar Sastry
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In this chapter, we consider a generalization of PCA in which the given sample points are drawn from an unknown arrangement of subspaces of unknown and possibly different dimensions.
René Vidal, Yi Ma, S. Shankar Sastry
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Introduction to Geometric Algebra
Geometric algebra was initiated by W.K. Clifford over 140 years ago. It unifies all branches of physics, and has found rich applications in robotics, signal processing, ray tracing, virtual reality, computer vision, vector field processing, tracking, geographic information systems and neural computing. This introduction explains the basics of geometricHitzer, Eckhard, Hildenbrand, Dietmar
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Understanding Geometric Algebra
2015Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer graphics and computer vision.
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2012
In this book, we focus on 5D Conformal Geometric Algebra (CGA). The “conformal” comes from the fact that it handles conformal transformations easily. These transformations leave angles invariant.
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In this book, we focus on 5D Conformal Geometric Algebra (CGA). The “conformal” comes from the fact that it handles conformal transformations easily. These transformations leave angles invariant.
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