Interpolation over a sphere based upon a minimum norm network
Computer Aided Geometric Design - Special issue: Topics in CAGD
Local modification of meshes for adaptive and/or multigrid finite-element methods
Journal of Computational and Applied Mathematics
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Comparing methods of interpolation for scattered volumetric data
State of the art in computer graphics
Local bisection refinement for N-simplicial grids generated by reflection
SIAM Journal on Scientific Computing
Terrain simulation using a model of stream erosion
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Surface Reconstruction - An Introduction
Dagstuhl '97, Scientific Visualization
Modeling and Visualizing Volumetric and Surface-on-Surface Data
Focus on Scientific Visualization
Tools for Triangulations and Tetrahedrizations
Scientific Visualization, Overviews, Methodologies, and Techniques
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We describe some methods for developing mathematical models from data obtained from scanning (LIDAR) urban terrain environments consisting of a combination of man-made structures and natural geographic terrain. The methods exploit the efficiency provided by adaptive techniques and are based upon implicit mathematical models which permit the efficient implementation of some useful post processing operations. Also we introduce some new and very effective methods for detecting edges and corners implied by the data and use this information to extract conventional triangle mesh surfaces from the implicit models using the dual marching tetrahedra method.