Interpolating and approximating scattered 3D-data with hierarchical tensor product B-splines

摘要: In this note we describe surface reconstruction algorithms based on optimization techniques. The input are scattered 3D-data with specified topology. surfaces constructed tensor product B-splines. To achieve local detail and/or fairness make use of hierarchical Interpolation as well approximation problems discussed. problem parameterizing a discrete point set which is crucial in approach will be discussed more detail. Citation Info Booktitle Surface Fitting and Multiresolution Methods Editors A. Le Mehaute, C. Rabut, L. Schumaker Series Innovations Applied Mathematics Publisher Vanderbilt University Press, Nashville, 1997 Pages 163–172