Solving geometric constraints by homotopy
Hervé Lamure, Dominique Michelucci · 1995
Geometric modeling by constraints yields systems of equations.They are classically solved by Newton-Raphson's iteration, from a starting guess interactively provided by the designer.However, this method may fail to converge, or may converge to an unwanted solution after a 'chaotic' behaviour.This paper claims that, in such cases, the homotopic method is much more satisfactory.