In this paper we present a new, composite, method for the construction of shapepreserving surfaces approximating a set of spatial data, obtained by combining together: a scheme for detecting the shape of the data, a new class of tensor-product splines, and a suitable linear least-squares strategy. This method is mainly conceived for the reconstruction of objects in reverse engineering.
Costantini, P., Pelosi, F. (2008). Data approximation using shape preserving parametric surfaces. SIAM JOURNAL ON NUMERICAL ANALYSIS, 47, 20-47 [10.1137/070694843].
Data approximation using shape preserving parametric surfaces
COSTANTINI, PAOLO;PELOSI F.
2008-01-01
Abstract
In this paper we present a new, composite, method for the construction of shapepreserving surfaces approximating a set of spatial data, obtained by combining together: a scheme for detecting the shape of the data, a new class of tensor-product splines, and a suitable linear least-squares strategy. This method is mainly conceived for the reconstruction of objects in reverse engineering.
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https://hdl.handle.net/11365/18885
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