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Proceedings of CAD'16, 2016, 5-10
G1 Continuous Bifurcating and Multi-bifurcating Surface Generation with B-Splines

Asthana Varun, Bhatt D. Amba, Motilal Nehru National Institute of Technology

Abstract. Surface construction from cross sectional data, either scanned or manually determined, is a designing process used in various applications like automobile parts (manifold of engine’s cylinder head), neuron tree construction, human vascular system, human bronchial tree, tree skeletal structure, and many more. Most of the constructions cited above actually involve branching at either single level or multilevel. As in case of manifold design of an engine, bifurcation suffices the design requirements while bronchial tree construction involves bifurcation and sub branching. The methods used by other authors for the generation of bifurcating surface includes method of triangulation, stitching of right circular cylindrical surface patches, blending of half tubular Bezier patches, and few others. Each method had its own limitations which has been countered in the method proposed in this paper. With method of triangulation, continuity requirements could not be met while the stitching of surface patches require additional step of aligning tangential vectors of the corresponding stitched patches.

Keywords. Dichotomous branching surface, bifurcation, disjoint B-spline, G1 continuous, surface generation

DOI: 10.14733/cadconfP.2016.5-10