Improving G1 surface joins by using a composite patch

Jorg Peters

doi:10.1117/12.131760

1 November 1992 Improving G¹ surface joins by using a composite patch

Jorg Peters

Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131760
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

A popular approach to joining surface patches smoothly across a given boundary curve is to choose the transversal derivative as an average of the tangents at the end points. However, it can be observed that this type of rational linear reparametrization forces the center transversal derivatives outside the convex hull of the remaining boundary derivatives unless certain tangent ratios are equal. The result are undesirable features in the surface. To circumvent the problem a composite patch is introduced. It consists of tensor-product patches that separate the original boundary tangents, so that constant G(superscript 1$ joins can be used.

Citation Download Citation

Jorg Peters "Improving G¹ surface joins by using a composite patch", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131760

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