## Modern geometric computing for visualizationThe papers in this book are on "modern geometric computing for visualization" which is at the forefront of multidisciplinary advanced research areas. This area is attracting intensive research interest across many application fields: singularity in cosmology, turbulence in ocean engineering, high energy physics, molecular dynamics, environmental problems, modern mathematics, computer graphics, and pattern recognition. The book contains the proceedings of the International Workshop on Modern Geometric Computing for Visualization held at Kogakuin University, Tokyo, from June 29-30, 1992. |

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### Contents

Computer Geometry and Topological Classification | 3 |

R A Earnshaw | 16 |

Kergosien 31 | 54 |

Copyright | |

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### Common terms and phrases

algorithm analysis applications Bezier called clusters complex Computer Graphics concave conjugate classification contour lines convex hull coordinates corresponding critical points crossing point curl value curvature regions curve defined described differential dp code edges engineering equations equivalent example extremal points Figure fractal geometric global Group Hamiltonian systems height function height relations hexagonal grid Hgram Hgram-space homotopy integrable Hamiltonian systems intersection Japan Kergosien kernel form knot diagram knot theory knotted surface Kunii linear loop manifold mapping mathematical mesh method Morse theory MTG sheet MTG-tree objects parallel parameter path Patrikalakis plane point geometry point set polygonal polynomial principal curvatures problem projection properties Reeb graph representation represented rotation saddle Scientific Visualization sequence shape Shinagawa singular points stationary points structure Supercomputer surface reconstruction switching pair symmetries techniques Theorem topological toroidal graph triangles University of Tokyo variables vector vertex vertices