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IJCV
2007
165views more  IJCV 2007»
13 years 8 months ago
Registration of 3D Points Using Geometric Algebra and Tensor Voting
Abstract. We address the problem of finding the correspondences of two point sets in 3D undergoing a rigid transformation. Using these correspondences the motion between the two s...
Leo Reyes, Gérard G. Medioni, Eduardo Bayro...
SAMOS
2010
Springer
13 years 6 months ago
Accelerating high-level engineering computations by automatic compilation of Geometric Algebra to hardware accelerators
Abstract—Geometric Algebra (GA), a generalization of quaternions, is a very powerful form for intuitively expressing and manipulating complex geometric relationships common to en...
Jens Huthmann, Peter Muller, Florian Stock, Dietma...
AFPAC
2000
Springer
257views Mathematics» more  AFPAC 2000»
14 years 24 days ago
The Multidimensional Isotropic Generalization of Quadrature Filters in Geometric Algebra
In signal processing, the approach of the analytic signal is a capable and often used method. For signals of finite length, quadrature filters yield a bandpass filtered approxim...
Michael Felsberg, Gerald Sommer
ICC
2007
IEEE
127views Communications» more  ICC 2007»
14 years 2 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...
FOCS
2009
IEEE
14 years 3 months ago
Constructing Small-Bias Sets from Algebraic-Geometric Codes
We give an explicit construction of an -biased set over k bits of size O k 2 log(1/ ) 5/4 . This improves upon previous explicit constructions when is roughly (ignoring logarith
Avraham Ben-Aroya, Amnon Ta-Shma