This fifth edition has been fully updated to cover the many advances made in CAGD and
curve and surface theory since 1997, when the fourth edition appeared. Material has been …

A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and
evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for …

This paper presents a simple-to-use mechanism for the creation of complex smoothly
shaped surfaces of any genus or topological type. The surfaces are specified through …

The finite element method is applied to generate primitives that build continuous deformable
shapes designed to support a new free-form modeling paradigm. The primitives …

1 Aims and Features of This Book The contents of t. his book were originally planned t. o be
included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka …

The representation of free-form surfaces by sufficiently refined polygonal meshes has
become common in many geometric modeling applications where complicated objects have …

Variational principles have become quite popular in the design of free form surfaces. Among
others they are used for fairing purposes. The choice of the 'right'fairness functional is a …

Traditionally methods for the design of free-form curves and surfaces focus on achieving a
specific level of inter-element continuity. These methods use a combination of heuristics and …

The goal of visual surface inspection is to analyze an object's surface and detect defects by
looking at it from different angles. Developments over the past years have made it possible …

In this paper, we study B-spline curve interproximation with different energy forms and
parametrization techniques, and present an interproximation scheme for B-spline surfaces. It …