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...