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A Robust Method to Extract the Rotational Part of Deformations

Matthias Muller, Jan Bender, Nuttapong Chentanez, Miles Macklin

We present a novel algorithm to extract the rotational part of an arbitrary 3×3 matrix. This problem lies at the core of two popular simulation methods in computer graphics, the co-rotational Finite Element Method and Shape Matching techniques. In contrast to the traditional method based on polar decomposition, degenerate configurations and inversions are handled robustly and do not have to be treated in a special way. In addition, our method can be implemented with only a few lines of code without branches which makes it particularly well suited for GPU-based applications. We demonstrate the robustness, coherence and efficiency of our method by comparing it to stabilized polar decomposition in several simulation scenarios.

A Robust Method to Extract the Rotational Part of Deformations

Posted by christopherbatty on September 13th, 2016 Posted in Deformables
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