Abstract
In Euclidean plane geometry, the evolute of both B-spline and NURBS curves are NURBS curves. Moreover, this evolute can be computed symbolically. This article extends those results to the equiaffine plane geometry. Analogously to Euclidean geometry, the equi-affine evolute of both B-spline and NURBS curves are NURBS curves and an algorithm for the symbolic computation is given for B-spline curves. This results in a new method to analyze the global affine differential properties of B-spline curves and assess B-spline curve quality in an affine invariant context.
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CITATION STYLE
Demers, É., Guibault, F., & Tribes, C. (2015). Symbolic computation of equi-affine evolute for plane B-spline curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9213, pp. 169–180). Springer Verlag. https://doi.org/10.1007/978-3-319-22804-4_13
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