Abstract
T-junctions usually appear in surface modeling processes that start with a given curve network. However, since T-shaped patches are not available in current CAD system so existing G 1 surface generation methods are restricted to n-sided patches. Therefore a designer must design a curve network without T-junctions, or subdivide it into n-sided patches, to avoid T-shaped topologies. We generate G 1 Bézier surfaces at a T-junction by combining the coplanar G 1 continuity condition with the de Casteljau algorithm to avoid the collision of twist points. Both T-junctions in the middle of boundary curves and at 3-valent vertices are considered. Our method requires no subdivision or triangulation of the surface, and the curve network is not changed.
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Oh, Mj., Park, S.H., Kim, Tw. (2010). G 1 Bézier Surface Generation from Given Boundary Curve Network with T-Junction. In: Mourrain, B., Schaefer, S., Xu, G. (eds) Advances in Geometric Modeling and Processing. GMP 2010. Lecture Notes in Computer Science, vol 6130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13411-1_12
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DOI: https://doi.org/10.1007/978-3-642-13411-1_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13410-4
Online ISBN: 978-3-642-13411-1
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