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GIAE
2004
Springer
275views Mathematics» more  GIAE 2004»
13 years 11 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
159views Mathematics» more  GIAE 2004»
13 years 11 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
187views Mathematics» more  GIAE 2004»
13 years 11 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
155views Mathematics» more  GIAE 2004»
13 years 11 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
119views Mathematics» more  GIAE 2004»
13 years 11 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
Mathematics
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