Abstract
We first study the effect caused, on the local shape of a tensor-product B-spline surface, by the movement of a subset of its control net. We then propose two (2) discrete approaches for removing shape failures from such surfaces, without altering them more than is needed. The second approach is a simple Quadratic-Programming method, that is suitable for restoring the shape of almost shape-preserving tensor-product B-spline surfaces. The performance of this method is tested and discussed for three industrial surfaces.
The authors were partially supported by the HCM-Project FAIRSHAPE (CHRX-CT94-0522) and the Greek General Secretariat for Research and Technology (Programme: ΠENEΔ-91-EΔ-635).
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© 1998 Springer-Verlag Wien
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Kaklis, P.D., Koras, G.D. (1998). A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces. In: Farin, G., Bieri, H., Brunnett, G., De Rose, T. (eds) Geometric Modelling. Computing Supplement, vol 13. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6444-0_14
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DOI: https://doi.org/10.1007/978-3-7091-6444-0_14
Publisher Name: Springer, Vienna
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