Computing exact rational offsets of quadratic triangular Bézier surface patches

Computer-Aided Design, pp. 197-209, 2008.

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Keywords:
zier surface patchcomputing exact rational offsetquadratic bézier triangular surface patchesquadratic triangular patchdirect proofMore(9+)

Abstract:

The offset surfaces to non-developable quadratic triangular Bezier patches are rational surfaces. In this paper we give a direct proof of this result and formulate an algorithm for computing the parameterization of the offsets. Based on the observation that quadratic triangular patches are capable of producing C^1 smooth surfaces, we use ...More

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