The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. A valuable resource for engineers working in CAD, CAM, or computer-aided engineering.
Two new volumes of carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. These two volumes contain a selection of papers presented at the Saint-Malo Conference on Approximation Theory in July 1999. Each contains several invited survey papers written by experts in the field, along with contributed research papers. They will be of great interest to mathematicians, engineers, and computer scientists working in the fields of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas. Curve and Surface Design includes the following topics: B-bases canal surfaces conics curvature discrete fairing free form surfaces G2-splines highlight lines involute curves multisided patches NURBs and NURPs offsets ray tracing ruled surfaces sculptured surfaces segmentation methods shape preservation texture voronoi diagrams
This books brings together recent research results in the design and use of curve and surface methods, as applied to engineering design and analysis problems, and as used by computer vision scientists for description of image scene features. Contributions are from both academics andindustrialists, and range from pure mathematics to experiences with the use of surface representations, including mathematics of surfaces, surface modelling, curves and curve modelling, and computer vision applications.
This text includes papers covering topics in geometry processing applications, such as surface-surface intersections and offset surfaces. Present methods fundamental to geometric modelling are highlighted.
This volume on computer graphies includes papers on: animation; rendering; curves and surfaces; triangulation; volume rendering; virtual reality; and scientific visualization.
A book intended for members of the graphics community, senior and graduate level students in computer science, mathematics, and engineering, software developers of CAD/CAM systems, graphics programmers, and geometric modeling researchers.
