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math.MG2022
Partial Fraction Decomposition for Rational Pythagorean Hodograph Curves
Hans-Peter Schröcker, Zbyněk Šír
All rational parametric curves with prescribed polynomial tangent direction form a vector space. Via tangent directions with rational norm, this includes the important case of rati…
math.RA2022
Motion Polynomials Admitting a Factorization with Linear Factors
Zijia Li, Hans-Peter Schröcker, Mikhail Skopenkov +1
Motion polynomials (polynomials over the dual quaternions with nonzero real norm) describe rational motions. We present a necessary and sufficient condition for reduced bounded mot…