The normalform of a space curve and its application to surface design |
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| Authors: | Erich Hartmann |
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| Affiliation: | (1) Darmstadt University of Technology, Dept. of Mathematics, Schlossgartenstr. 7, D-64289 Darmstadt, Germany E-mail: ehartmann@mathematik.tu-darmstadt.de, DE |
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| Abstract: | x )=0 with ∥▿h∥=1. The normalform function h is (unlike the latter cases) not differentiable at curve points. Despite of this disadvantage the normalform is a suitable
tool for designing surfaces which can be treated as common implicit surfaces. Many examples (bisector surfaces, constant distance
sum/product surfaces, metamorphoses, blending surfaces, smooth approximation surfaces) demonstrate applications of the normalform
to surface design.
Published online: 25 July 2001 |
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| Keywords: | : normalform – bisectors – constant distance sum/product surfaces – pipe surfaces – intersection curves – intersection points – Gn– blending – isophotes |
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