Jörg Peters, Michael Wittman  Home/Search
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Abstract: To blend between basic implicitly defined CSG surfaces we propose to use the zero set of a spline in three variables. The resulting blend surface is generically curvature continuous, of algebraic degree four independent of the number of surfaces joined, and supports both point classification and efficient rendering. A detailed exposition of the 2D analogue blend construction is given. 1 Introduction Blending surfaces that smoothly join basic primitives such as planar facets, quadrics or the... (Update)
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J Peters and M. Wittman. Smooth blending of basic surfaces using trivariate box spline. In IMA 96, The Mathematics of Surfaces. Dundee, UK, 1996. http://citeseer.ist.psu.edu/peters96smooth.html More
@inproceedings{ peterssmooth,
author = "J. Peters and M. Wittmann",
title = "Smooth blending of basic surfaces using trivariate box splines",
pages = "409--426",
url = "citeseer.ist.psu.edu/peters96smooth.html" }
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3 and Riemenschneider (context) - Boor, ollig - 1994
2 the evaluation of box splines - de Boor - 1993
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