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Higher dimensional PH curves
Gwang-Il Kim
Source abstract
After R. T. Farouki introduced, there has been vast researches on Pythagorean Hodograph curves. By the nice property that its velocity function is polynomial/rational, it gives us simpler formulae in computing geometrically driven objects --- offset curve/surface, pipe/canal surface --- which are widely used in CAGD. We present a geometric method to construct PH curves in higher dimensional Euclidean spaces.
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