8 research outputs found

    Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations

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    Abstract. 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 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames. Key words: rational rotation-minimizing frame, Möbius transformations, Pythagorean-hodograph curve

    The Nature of Contemporary Soviet Commodity Production

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    Further Progress in Venereology

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