Modern Geometric Computing for Visualization by Tosiyasu L. Kunii
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.
1: Basic Tools for Modern Geometrie Computing.- Computer Geometry and Topological Classification of Integrable Hamiltonian Differential Equations: Visualization of Concrete Physical Examples.- Interdisciplinary Techniques, Toolkits and Models for Scientific Visualization.- Topology and Visualization: From Generic Singularities to Combinatorial Shape Modelling.- 2: Analyses of Visual Information.- Polyhedral Surface Decomposition Based on Curvature Analysis.- The Conjugate Classification of the Kernel Form of the Hexagonal Grid.- Motions of Flexible Objects.- Shape Description and Classification Based on Extremal Points and Their Relations.- Visualisation of Hyperobjects in Hgram-Space by Computers.- 3: Applications of Modern Geometry.- Computation of Singularities for Engineering Design.- A Geographical Database System Based on the Homotopy Model.- A Case Study for Building a DataBase and 3-D Visualization in Geomorphology.- Using Surface Coding to Detect Errors in Surface Reconstruction.- 4: Supercomputing for Modern Geometry.- The Development of the Supercomputer System Electrónica SS BIS.- Automatic Parallelization of Programs for MIMD Computers.- Workshop Organization.- Author Index.- Citation Index.- Keyword Index.