A geometric algebra approach to some problems of robot vision

被引：0

作者：

Sommer, G ^{[1
]}

机构：

[1] Univ Kiel, Inst Informat & Prakt Math, D-2300 Kiel, Germany

来源：

COMPUTATIONAL NONCOMMUTATIVE ALGEBRA AND APPLICATIONS | 2004年 / 136卷

关键词：

Clifford algebra; Clifford spinor neuron; geometric algebra; hypersphere; neuron; monogenic function; neural computing; Poisson scale-space; robot vision; signal theory;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Geometric algebra has been proved to be a powerful mathematical language for robot vision. We give an overview of some research results in two different areas of robot vision. These are signal theory in the multidimensional case and knowledge based neural computing. In both areas a considerable extension of the modeling has been achieved by applying geometric algebra.

引用

页码：309 / 338

页数：30

共 38 条

[1] [Anonymous], 1982, RES NOTES MATH
[2] Multilayer perceptrons to approximate quaternion valued functions
Arena, P
Fortuna, L
Muscato, G
Xibilia, MG
[J]. NEURAL NETWORKS, 1997, 10 (02) : 335 - 342
[3] BANARER V, 2003, 11 EUR S ART NEUR NE, P469
[4] BANARER V, 2003, IN PRESS P INT C COM
[5] Buchholz S, 2001, GEOMETRIC COMPUTING WITH CLIFFORD ALGEBRAS, P315
[6] Buchholz S, 2001, GEOMETRIC COMPUTING WITH CLIFFORD ALGEBRAS, P291
[7] Buchholz S., 2000, 8th European Symposium on Artificial Neural Networks. ESANN"2000. Proceedings, P377
[8] Buchholz S, 2000, LECT NOTES COMPUT SC, V1888, P144
[9] BUCHHOLZ S, 2000, INT JOINT C NEUR NET, V2, P129
[10] Hypercomplex signals -: A novel extension of the analytic signal to the multidimensional case
Bülow, T
Sommer, G
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (11) : 2844 - 2852

← 1 2 3 4 →