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- research-articleApril 2024
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves
Computer Aided Geometric Design (CAGD), Volume 108, Issue Chttps://doi.org/10.1016/j.cagd.2023.102256AbstractThe aim of this work is to provide new characterizations of planar quintic Pythagorean-hodograph curves. The first two are algebraic and consist of two and three equations, respectively, in terms of the edges of the Bézier control polygon as ...
Highlights- An algebraic characterization consisting of two equations covering all possible cases.
- An algebraic characterization with three equations in geometric progression.
- A geometric characterization based on the similarity of two ...