Geometric modelling has been an important and interesting subject for
many years from the purely mathematical and computer science viewpoint,
and also from the standpoint of engineering and various other
applications, such as CAD/CAM, entertainment, animation, and multimedia.
This book focuses on the interaction between the theoretical foundation
of geometric modelling and practical applications in CAD and related
areas.
Geometric Modelling: Theoretical and Computational Basis towards
Advanced CAD Applications starts with two position papers, discussing
basic computational theory and practical system solutions. The
well-organized seven review papers give a systematic overview of the
current situation and deep insight for future research and development
directions towards the reality of shape representation and processing.
They discuss various aspects of important issues, such as geometric
computation for space search and shape generation, parametric modelling,
feature modelling, user interface for geometric modelling, geometric
modelling for the Next Generation CAD, and geometric/shape standard.
Other papers discuss features and new research directions in geometric
modelling, solid modeling, free-form surface modeling, intersection
calculation, mesh modeling and reverse engineering. They cover a wide
range of geometric modelling issues to show the problem scope and the
technological importance.
Researchers interested in the current status of geometric modelling
research and developments will find this volume to be an essential
reference.