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02/09/2023
Optimal interpolation with spatial rational Pythagorean hodograph curves
Using a residuum approach, we provide a complete description of the spac...
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09/06/2022
A Complete Characterization of Bounded Motion Polynomials Admitting a Factorization with Linear Factors
Motion polynomials (polynomials over the dual quaternions with the non-z...
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08/24/2022
A Multi-Bennett 8R Mechanism Obtained From Factorization of Bivariate Motion Polynomials
We present a closed-loop 8R mechanism with two degrees of freedom whose ...
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11/08/2021
Rational Framing Motions and Spatial Rational Pythagorean Hodograph Curves
We propose a new method for constructing rational spatial Pythagorean Ho...
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10/12/2020
An Algorithm for the Factorization of Split Quaternion Polynomials
We present an algorithm to compute all factorizations into linear factor...
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10/05/2020
Factorization of Dual Quaternion Polynomials Without Study's Condition
In this paper we investigate factorizations of polynomials over the ring...
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07/26/2019
Rational Motions with Generic Trajectories of Low Degree
The trajectories of a rational motion given by a polynomial of degree n ...
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09/29/2015
Kempe's Universality Theorem for Rational Space Curves
We prove that every bounded rational space curve of degree d and circula...
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02/26/2015
