Summary
Smooth interpolation of unstructured surface data is usually achieved by joining local patches, where each patch is an approximation (usually parametric) defined on a local reference domain. A basic mesh-independent projection strategy for general surface interpolation is proposed here. The projection is based upon the ’Moving-Least-Squares’ (MLS) approach, and the resulting surface is C ∞ smooth. The projection involves a first stage of defining a local reference domain and a second stage of constructing an MLS approximation with respect to the reference domain. The approach is presented for the general problem of approximating a (d − 1)-dimensional manifold in ℝd, d ≥ 2. The approach is applicable for interpolating or smoothing curve and surface data, as demonstrated here by some graphical examples.
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© 2004 Springer-Verlag Berlin Heidelberg
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Levin, D. (2004). Mesh-Independent Surface Interpolation. In: Brunnett, G., Hamann, B., Müller, H., Linsen, L. (eds) Geometric Modeling for Scientific Visualization. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07443-5_3
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DOI: https://doi.org/10.1007/978-3-662-07443-5_3
Publisher Name: Springer, Berlin, Heidelberg
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