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ICCS
2005
Springer
15 years 9 months ago
Isotropic Vector Matrix Grid and Face-Centered Cubic Lattice Data Structures
Techniques for generating data structures for isotropic vector matrix grids (or face-centered cubic lattices) are presented. Grid basics and some background mathematical foundation...
J. F. Nystrom, Carryn Bellomo
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
15 years 9 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
GIAE
2004
Springer
159views Mathematics» more  GIAE 2004»
15 years 9 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
132
Voted
GIAE
2004
Springer
155views Mathematics» more  GIAE 2004»
15 years 9 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
ISSAC
2004
Springer
99views Mathematics» more  ISSAC 2004»
15 years 9 months ago
Inversion of parameterized hypersurfaces by means of subresultants
We present a subresultant-based algorithm for deciding if the parametrization of a toric hypersurface is invertible or not, and for computing the inverse of the parametrization in...
Laurent Busé, Carlos D'Andrea