Results 271 to 280 of about 236,452 (310)
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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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Closed-form solutions for the inverse kinematics of serial robots using conformal geometric algebra
Mechanism and Machine Theory, 2022Isiah Zaplana +2 more
exaly
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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2009
The geometric algebra of a 3D Euclidean space \(G_{3,0,0}\) has a point basis and the motor algebra \(G_{3,0,1}\) a line basis. In the latter geometric algebra, the lines expressed in terms of Plucker coordinates can be used to represent points and planes as well.
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The geometric algebra of a 3D Euclidean space \(G_{3,0,0}\) has a point basis and the motor algebra \(G_{3,0,1}\) a line basis. In the latter geometric algebra, the lines expressed in terms of Plucker coordinates can be used to represent points and planes as well.
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2012
How should a computer for Geometric Algebra be designed? This chapter investigates different computing architectures with the goal of implementing Geometric Algebra algorithms with as high a performance as possible.
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How should a computer for Geometric Algebra be designed? This chapter investigates different computing architectures with the goal of implementing Geometric Algebra algorithms with as high a performance as possible.
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