Abstract
The guided spline approach to surface construction separates surface design and surface representation by constructing local guide surfaces and sampling these by splines of moderate degree. This paper explains a construction based on tessellating the domain into V-shaped regions so that the resulting C 2 surfaces have G 2 transitions across the boundaries of the V-shapes and consist of tensor-product splines of degree (6,6) with patches of degree (4,4) forming a central cap.
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Karčiauskas, K., Peters, J. (2007). Guided C 2 Spline Surfaces with V-Shaped Tessellation. In: Martin, R., Sabin, M., Winkler, J. (eds) Mathematics of Surfaces XII. Mathematics of Surfaces 2007. Lecture Notes in Computer Science, vol 4647. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73843-5_14
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DOI: https://doi.org/10.1007/978-3-540-73843-5_14
Publisher Name: Springer, Berlin, Heidelberg
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