Abstract
We consider the problem of defining multi-sided patches in a system that enables G2 continuity. The technology is based on finding the weighted least squares solution of points on given input curves where a separate parameter space with control structures determines its weights. It is a generalization of Shepard’s method to a parameterized vector solution. The method generates surface patches that satisfy certain minimal energy conditions. it employs any parametric curve and points as controls for defining the surface.
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© 2005 Springer-Verlag Berlin Heidelberg
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Gao, K., Rockwood, A. (2005). Multi-sided Attribute Based Modeling. In: Martin, R., Bez, H., Sabin, M. (eds) Mathematics of Surfaces XI. Lecture Notes in Computer Science, vol 3604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11537908_13
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DOI: https://doi.org/10.1007/11537908_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28225-9
Online ISBN: 978-3-540-31835-4
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