Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations
نویسندگان
چکیده
We show that Möbius transformations preserve the rotationminimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean-hodograph curves and also rational frames. Based on these observations we derive an algorithm for G Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames.
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