Items related to Multiresolution Methods in Scattered Data Modelling
Synopsis
Introduction: Scattered Data Modelling, Multiresolution Methods, Multilevel Methods, Adaptive Irregular Sampling.- Algorithms and Data Structures: Triangulation Methods, Delaunay Triangulations, Voronoi Diagrams, Data-Dependent Triangulations, Heaps and Priority Queues, Quadtrees.- Radial Basis Functions: Interpolation, Conditionally Positive Definite Functions, Optimal Recovery, Pointwise Optimality, Error Estimates, Numerical Stability, Uncertainty Principle, Polyharmonic Splines, Optimal Point Sampling, Least Squares Approximation.- Thinning Algorithms: Preliminary Remarks, Generic Formulation, Non-Adaptive Thinning, Scattered Data Filtering, Adaptive Thinning, Adaptive Thinning in Digital Image Compression.- Multilevel Approximation Schemes: Generic Formulation, Multilevel Interpolation, Adaptive Multilevel Approximation, Hierarchical Surface Visualization.- Meshfree Methods for Transport Equations: Transport Equations, Meshfree Method of Backward Characteristics, Adaption Rules, Multiscale Flow Simulation.
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