Geometric modeling
Parallel Computers Two: Architecture, Programming and Algorithms
Parallel Computers Two: Architecture, Programming and Algorithms
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Computer Aided Geometric Design; Proceedings of a Conference Held at the University of Utah, Salt Lake City, Utah, March 18-21, 1974
TEX and METAFONT: New directions in typesetting
TEX and METAFONT: New directions in typesetting
Cost-optimal parallel B-spline interpolations
ICS '90 Proceedings of the 4th international conference on Supercomputing
A Block Fourier Decomposition Method
PARA '02 Proceedings of the 6th International Conference on Applied Parallel Computing Advanced Scientific Computing
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A parallel fitting algorithm using uniform bicubic B-spline surfaces is presented. This algorithm is based on the observation that a tensor product spline surface fitting problem can be split into two spline curve fitting problems, and each of these problems can be carried out in parallel by cyclic reduction. Using this approach, the control points of a uniform bicubic B-spline surface that interpolates a grid of m x n points can be found in O(log m + log n) time on mn processors. Furthermore, since smaller systems of equations are solved in the algorithm, the accumulated error resulting from this approach is smaller than that of the traditional algorithms.