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"Computer Algebra and Geometric Algebra with Applications" ed. by Hongbo Li, Peter J. Olver, Gerald Sommer

ISBN: 3540262962



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quot Computer Algebra and Geometric Algebra with Applications quot ed by Hongbo Li Peter J Olver Gerald Sommer

"Computer Algebra and Geometric Algebra with Applications" ed. by Hongbo Li, Peter J. Olver, Gerald Sommer
6th International Workshop, IWMM 2004, Shanghai, China, May 19-21, 2004 and International Workshop, GIAE 2004 Xian, China, May 24-28, 2004, Revised Selected Papers. Lecture Notes in Computer Science, volume 3519
Springer | 2005 | ISBN: 3540262962 9783540262961 | 457 pages | PDF | 5 MB

The 30 revised full papers presented were rigorously reviewed and selected from 65 presentations given at the two workshops. The papers are devoted to topics such as applications of computer algebra in celestial and engineering multibody systems, differential equations, computer vision, computer graphics, and the theory and applications of geometric algebra in geometric reasoning, robot vision, and computer graphics.

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This book constitutes the thoroughly refereed joint post-proceedings of the 6th International Workshop on Mathematics Mechanization, IWMM 2004, held in Shanghai, China in May 2004 and the International Workshop on Geometric Invariance and Applications in Engineering, GIAE 2004, held in Xian, China in May 2004.

Table of Contents
Part I : Computer Algebra and Applications
On Wintner’s Conjecture About Central Configurations - Wen-tsun Wu
Polynomial General Solutions for First Order Autonomous ODEs - Ruyong Feng, Xiao-Shan Gao
The Newton Polygon Method for Differential Equations - Jos´e Cano
Implicit Reduced Involutive Forms and Their Application to Engineering Multibody Systems - Wenqin Zhou, David J. Jeffrey, Gregory J. Reid, Chad Schmitke, John McPhee
Hybrid Method for Solving New Pose Estimation Equation System - Jianliang Tang, Jianping Yu, Lihong Zhi
Some Necessary Conditions on the Number of Solutions for the P4P - Problem = Jianliang Tang
A Generalization of Xie-Nie Stability Criterion - Xiaorong Hou, Xuemin Wang
Formal Power Series and Loose Entry Formulas for the Dixon Matrix - Wei Xiao, Eng-Wee Chionh
Constructive Theory and Algorithm for Blending Several Implicit Algebraic Surfaces - Yurong Li, Na Lei, Shugong Zhang, Guochen Feng
Minimum-Cost Optimization in Multicommodity Logistic Chain Network - Hongxia Li, Shuicheng Tian, Yuan Pan, Xiao Zhang, Xiaochen Yu
A Survey of Moving Frames - Peter J. Olver
Invariant Geometric Motions of Space Curves - Changzheng Qu
Classification of Signature Curves Using Latent Semantic Analysis - Cheri Shakiban, Ryan Lloyd
Hamiltonian System and Algebro-Geometric Solution Associated with Dispersive Long Wave Equation - Engui Fan
The Painlev´e Test of Nonlinear Partial Differential Equations and Its Implementation Using Maple - Gui-qiong Xu, Zhi-bin Li
Part II: Geometric Algebra and Applications
Hybrid Matrix Geometric Algebra - Garret Sobczyk, Gordon Erlebacher
Intrinsic Differential Geometry with Geometric Calculus - Hongbo Li, Lina Cao, Nanbin Cao, Weikun Sun
On Miquel’s Five-Circle Theorem - Hongbo Li, Ronghua Xu, Ning Zhang
On Averaging in Clifford Groups - Sven Buchholz, Gerald Sommer
Combinatorics and Representation Theory of Lie Superalgebras over Letterplace Superalgebras - Andrea Brini, Francesco Regonati, Antonio Teolis
Applications of Geometric Algebra in Robot Vision - Gerald Sommer
Twists - An Operational Representation of Shape - Gerald Sommer, Bodo Rosenhahn, Christian Perwass
Recent Applications of Conformal Geometric Algebra - Anthony Lasenby
Applications of Conformal Geometric Algebra in Computer Vision and Graphics - Rich Wareham, Jonathan Cameron, Joan Lasenby
Conic Sections and Meet Intersections in Geometric Algebra - Eckhard M.S. Hitzer
nD Object Representation and Detection from Single 2D Line Drawing - Hongbo Li, Quan Wang, Lina Zhao, Ying Chen, Lei Huang
Polyhedral Scene Analysis Combining Parametric Propagation with Calotte Analysis - Hongbo Li, Lina Zhao, Ying Chen
A Unified and Complete Framework of Invariance for Six Points - Yihong Wu, Zhanyi Hu
An Introduction to Logical Animation - Jingzhong Zhang, Chuanzhong Li
Recent Methods for Reconstructing Surfaces from Multiple Images - Gang Zeng, Maxime Lhuillier, Long Quan
Author Index
with TOC BookMarkLinks

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