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- W4293799416 abstract "We present a new approach to detect projective equivalences and symmetries between two rational parametric 3D curves properly parametrized. In order to do this, we introduce two rational functions that behave nicely for Möbius transformations, which are the transformations in the parameter space associated with the projective equivalences between the curves. The Möbius transformations are found by first computing the gcd of two polynomials built from these two functions, and then searching for a special type of factors, “Möbius-like”, of this gcd. The projective equivalences themselves are easily computed from the Möbius transformations. In particular, and unlike previous approaches, we avoid solving big polynomial systems. The algorithm has been implemented in Maple™ (2021), and evidences of its efficiency as well as a comparison with previous approaches are given." @default.
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- W4293799416 date "2023-02-01" @default.
- W4293799416 modified "2023-10-16" @default.
- W4293799416 title "A new method to detect projective equivalences and symmetries of rational <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e6567 altimg=si2.svg><mml:mrow><mml:mn>3</mml:mn><mml:mi>D</mml:mi></mml:mrow></mml:math> curves" @default.
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- W4293799416 doi "https://doi.org/10.1016/j.cam.2022.114782" @default.
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