In this paper we present a new, composite, method for the construction of shape-preserving 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 No. 1, 20-47 [10.1137/070694843].
Data approximation using shape-preserving parametric surfaces
PELOSI, FRANCESCA
2008-01-01
Abstract
In this paper we present a new, composite, method for the construction of shape-preserving 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.File in questo prodotto:
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