Bivariate Hermite subdivision
Damme, Ruud van (1997) Bivariate Hermite subdivision. Computer Aided Geometric Design, 14 (9). pp. 847875. ISSN 01678396

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Abstract:  A subdivision scheme for constructing smooth surfaces interpolating scattered data in is proposed. It is also possible to impose derivative constraints in these points. In the case of functional data, i.e., data are given in a properly triangulated set of points from which none of the pairs and with coincide, it is proved that the resulting surface (function) is . The method is based on the construction of a sequence of continuous splines of degree 3. Another subdivision method, based on constructing a sequence of splines of degree 5 which are once differentiable, yields a function which is if the data are not 'too irregular'. Finally the approximation properties of the methods are investigated. 
Item Type:  Article 
Copyright:  © 1997 Elsevier Science 
Faculty:  Electrical Engineering, Mathematics and Computer Science (EEMCS) 
Research Group:  
Link to this item:  http://purl.utwente.nl/publications/29790 
Official URL:  http://dx.doi.org/10.1016/S01678396(97)000095 
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