Computer aided design

technical reportThe report is based on the proposal submitted to the National Science Foundation in September 1981, as part of the Coordinated Experimental Computer Science Research Program. The sections covering the budget and biographical data on the senior research personnel have not been included. Also, the section describing the department facilities at the time of the proposal submission is not included, because it would be only of historical interest

An experimental system for computer aided geometric design

technical reportThe main goal of this proposed level-of-effort project is to extend present capabilities in the area of Computer Aided Geometric Design (CAGD) and to develop custom VLSI support for some special geometric functions

Computer aided geometric design

Journal ArticleThis book contains the edited proceedings of the first International Conference on Computer Aided Geometric Design, an important new field that draws on the principles of computer science, mathematics, and geometric design. The list of contributors includes most of the leading researchers in the field in North America and Europe. The papers, containing results that are not available elsewhere, are principally concerned with Coons patches, Bezier curves, and various kinds of splines, with their applications to computer aided geometric design. The book will prove of great value to computer scientists (especially those in computer graphics), numerical analysts, applied mathematicians, mechanical, civil, aeronautical, automotive engineers, and naval architects in academic or industrial positions and government laboratories

A geometric proof for the variation diminishing property of B-spline approximation

AbstractA geometric proof for the variation diminishing property of B-spline approximation is given. The proof is based primarily upon a generalized form of the de Boor-Cox algorithm and the intuitively obvious fact that piecewise linear interpolation is variation diminishing. Previous proofs [4, 8] employed the mathematical methods of total positivity, a machinery which is available only after reading [8]

Discrete B-Splines as an Approach to Computer Aided Geometric Design

technical reportInvestigations have been made of many interesting problems deriving from the applications of discrete splines to the problems of computer aided geometric design. New theory and algorithms have been developed and support mechanisms based on the Oslo algorithm have been incorporated in order to help use the geometry model directly to calculate many geometric attributes needed for the design process including surface rendering and intersections. (Author