Abstract
One common technique for modeling closed surfaces of arbitrary topological type is to define them by piecewise parametric triangular patches on an irregular mesh. This surface mesh serves as a control mesh which is either interpolated or approximated. A new method for smooth triangular mesh interpolation has been developed. It is based on a regular 4-split of the domain triangles in order to solve the vertex consistency problem. In this paper a generalization of the 4-split domain method is presented in that the method becomes completely local. It will further be shown how normal directions, i.e. tangent planes, can be prescribed at the patch vertices.
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© 2001 Springer-Verlag Wien
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Hahmann, S., Bonneau, GP., Taleb, R. (2001). Localizing the 4-Split Method for G1 Free-Form Surface Fitting. In: Brunnett, G., Bieri, H., Farin, G. (eds) Geometric Modelling. Computing, vol 14. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6270-5_10
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DOI: https://doi.org/10.1007/978-3-7091-6270-5_10
Publisher Name: Springer, Vienna
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