Abstract
We present a new and efficient algorithm to compute affine equivalences and symmetries between two trigonometric curves in an arbitrary dimension. The algorithm benefits from the power of invariance and polynomial gcd and factoring without solving any system of equations. The algorithm is implemented in MAPLE, and extensive experimentations demonstrating the efficiency of the method are given.
Keywords
Mathematics
Affine transformation
Homogeneous space
Dimension (graph theory)
Trigonometry
Factoring
Pure mathematics
Discriminant
Trigonometric polynomial
Algebra over a field
Trigonometric functions
Polynomial
Mathematical analysis
Subject Areas
Advanced Numerical Analysis Techniques
·Computational Mechanics ·Physical Sciences
Polynomial and algebraic computation
·Computational Theory and Mathematics ·Physical Sciences
Computer Graphics and Visualization Techniques
·Computer Graphics and Computer-Aided Design ·Physical Sciences
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