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GIAE
2004
Springer
155views Mathematics» more  GIAE 2004»
12 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
136views Mathematics» more  GIAE 2004»
12 years 3 months ago
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems
Abstract. The RifSimp package in Maple transforms a set of differential equations to Reduced Involutive Form. This paper describes the application of RifSimp to challenging real-w...
Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Ch...
GIAE
2004
Springer
181views Mathematics» more  GIAE 2004»
12 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
GIAE
2004
Springer
153views Mathematics» more  GIAE 2004»
12 years 3 months ago
Hybrid Method for Solving New Pose Estimation Equation System
Camera pose estimation is the problem of determining the position and orientation of an internally calibrated camera from known 3D reference points and their images. We introduce a...
Gregory J. Reid, Jianliang Tang, Jianping Yu, Liho...
GIAE
2004
Springer
159views Mathematics» more  GIAE 2004»
12 years 3 months ago
A Survey of Moving Frames
This paper surveys the new, algorithmic theory of moving frames developed by the author and M. Fels. Applications in geometry, computer vision, classical invariant theory, the cal...
Peter J. Olver
GIAE
2004
Springer
129views Mathematics» more  GIAE 2004»
12 years 3 months ago
On Miquel's Five-Circle Theorem
Hongbo Li, Ronghua Xu, Ning Zhang
GIAE
2004
Springer
187views Mathematics» more  GIAE 2004»
12 years 3 months ago
nD Object Representation and Detection from Single 2D Line Drawing
In this paper, we propose the wireframe representation of nD object, which is a single 2D line drawing. A wireframe model of an nD object is composed of a set of edges connecting a...
Hongbo Li, Quan Wang, Lina Zhao, Ying Chen, Lei Hu...
GIAE
2004
Springer
275views Mathematics» more  GIAE 2004»
12 years 3 months ago
Conic Sections and Meet Intersections in Geometric Algebra
This paper first gives a brief overview over some interesting descriptions of conic sections, showing formulations in the three geometric algebras of Euclidean spaces, projective ...
Eckhard M. S. Hitzer
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
12 years 3 months ago
Polynomial General Solutions for First Order Autonomous ODEs
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
Ruyong Feng, Xiao-Shan Gao
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