Constrained B-spline curve and surface fitting
Computer-Aided Design
Design and recovery of 2-D and 3-D shapes using rational Gaussian curves and surfaces
International Journal of Computer Vision
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
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A method for parametrizing discrete points sampled from a smooth shape and fitting a rational Gaussian surface to the points with a required accuracy is presented. With the proposed method, a very complex shape can be represented by a single surface, and the surface can be rendered at a desired level of detail by adjusting a smoothness parameter.