Rotation-minimizing Euler-Rodrigues rigid-body motion interpolants
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چکیده
منابع مشابه
Euler-Rodrigues and Cayley formulas for rotation of elasticity tensors
It is fairly well known that rotation in three dimensions can be expressed as a quadratic in a skew symmetric matrix via the Euler-Rodrigues formula. A generalized Euler-Rodrigues polynomial of degree 2n in a skew symmetric generating matrix is derived for the rotation matrix of tensors of order n. The Euler-Rodrigues formula for rigid body rotation is recovered by n = 1. A Cayley form of the n...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2013
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2013.03.001