Modern Geometric Computing for Visualization

Front Cover
Tosiyasu L. Kunii, Yoshihisa Shinagawa
Springer Science & Business Media, 6. dets 2012 - 272 pages
This volume is on "modem geometric computing for visualization" which is at the forefront of multi-disciplinary 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, modem mathe matics, computer graphics, and pattern recognition. Visualization re quires the computation of displayable shapes which are becoming more and more complex in proportion to the complexity of the objects and phenomena visualized. Fast computation requires information locality. Attaining information locality is achieved through characterizing the shapes in geometry and topology, and the large amount of computation required through the use of supercomputers. This volume contains the initial results of our efforts to satisfy these re quirements by inviting experts and selecting new research works through review processes. To be more specific, this book presents the proceedings of the International Workshop on Modem Geometric Computing for Visualization held at Kogakuin University, Tokyo, Japan, June 29-30, 1992 organized by the Computer Graphics Society, Japan Personal Com puter Software Association, Kogakuin University, and the Department of Information Science, Faculty of Science, The University of Tokyo. We received extremely high-quality papers for review from five different countries, one from Australia, one from Italy, four from Japan, one from Singapore and three from the United States, and we accepted eight papers and rejected two.
 

Contents

Computer Geometry and Topological Classification
3
R A Earnshaw
16
Kergosien 31
54
The Conjugate Classification of the Kernel Form
73
Motions of Flexible Objects
91
Shape Description and Classification Based on Extremal Points
121
Visualisation of Hyperobjects in HgramSpace by Computers
141
Computation of Singularities for Engineering Design
167
A Geographical Database System Based
193
A Case Study for Building a Database
207
Using Surface Coding to Detect Errors
227
The Development of the Supercomputer System
243
Workshop Organization
265
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