Curve and surface fitting with splines
Curve and surface fitting with splines
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
Surface reconstruction from unorganized points
Asynchronous distributed solution of large scale nonlinear inversion problems
Selected papers of the second Panamerican workshop on Applied and computational mathematics
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Rank-deficient and discrete ill-posed problems: numerical aspects of linear inversion
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Large scale least squares scattered data fitting
Applied Numerical Mathematics
Criteria for mixed grids in computational fluid dynamics
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Least squares collocation solution of elliptic problems in general regions
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Radial function collocation solution of partial differential equations in irregular domains
International Journal of Computing Science and Mathematics
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The l2 fitting of scattered data by tensor products of B-splines in two and three dimensions is considered. A truncated Singular Value decomposition approach is used to automatically account for singularity and ill-conditioning of the Grammian matrix. The method does not require re-gridding and can be applied to data with large holes and irregular footprint, provided that the domain of evaluation is limited to the region where there is enough data. A direct and two iterative methods are discussed and numerical results are offered for several test data sets.