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CG
2005
Springer
9 years 10 months ago
Geometric computing in computer graphics using conformal geometric algebra
Early in the development of Computer Graphics it was realized that projective geometry was well suited for the representation of transformations. Now, it seems that another change...
Dietmar Hildenbrand
COMPGEOM
1987
ACM
10 years 1 months ago
Oriented Projective Geometry
In [12] Stolfi developed a complete theory of Oriented Projective Geometry. He showed that assigning meaning to the sign of an otherwise homogenous representation of geometry could...
Jorge Stolfi
GIAE
2004
Springer
155views Mathematics» more  GIAE 2004»
10 years 3 months ago
Recent Applications of Conformal Geometric Algebra
We discuss a new covariant approach to geometry, called conformal geometric algebra, concentrating particularly on applications to projective geometry and new hybrid geometries. In...
Anthony N. Lasenby
GIAE
2004
Springer
181views Mathematics» more  GIAE 2004»
10 years 3 months ago
Applications of Conformal Geometric Algebra in Computer Vision and Graphics
Abstract. This paper introduces the mathematical framework of conformal geometric algebra (CGA) as a language for computer graphics and computer vision. Specifically it discusses ...
Rich Wareham, Jonathan Cameron, Joan Lasenby
ICRA
2005
IEEE
130views Robotics» more  ICRA 2005»
10 years 4 months ago
Advanced Geometric Approach for Graphics and Visual Guided Robot Object Manipulation
— This paper presents an approach to deal with standard tasks of computer animations and robotics based on Conformal Geometric Algebra. We will show that this algebra is very wel...
Dietmar Hildenbrand, Eduardo Bayro-Corrochano, Jul...
ICPR
2006
IEEE
10 years 4 months ago
Local Representation of 3D Free-Form Contours for Pose Estimation
In this paper we present a new representation for 3D free-form contours in the conformal geometric algebra
Marco A. Chavarria, Gerald Sommer
ICPR
2008
IEEE
10 years 4 months ago
Radon transform and Conformal Geometric Algebra with lines
In this paper we apply the classic theory of Harmonic Analysis and the Conformal Geometric Algebra (CGA) to evaluate the Fourier transform on the unit sphere S2 and on the rotatio...
Luis Falcón-Morales, Eduardo Bayro-Corrocha...
CIARP
2009
Springer
10 years 5 months ago
Optimizations and Performance of a Robotics Grasping Algorithm Described in Geometric Algebra
Abstract. The usage of Conformal Geometric Algebra leads to algorithms that can be formulated in a very clear and easy to grasp way. But it can also increase the performance of an ...
Florian Wörsdörfer, Florian Stock, Eduar...
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