Work

Techniques for interactive design using the PDE method

Year: 1999

Type: article

Abstract: Interactive design of practical surfaces using the partial differential equation (PDE) method is considered. The PDE method treats surface design as a boundary value problem (ensuring that surfaces can be defined using a small set of design parameters). Owing to the elliptic nature of the PDE operator, the boundary conditions imposed around the edges of the surface control the internal shape of the surface. Moreover, surfaces obtained in this manner tend to be smooth and fair. The PDE chosen has a closed form solution allowing the interactive manipulation of the surfaces in real time. Thus we present efficient techniques by which we show how surfaces of practical significance can be constructed interactively in real time.

Source: ACM Transactions on Graphics

DOI: 10.1145/318009.318078

Authors: Hassan Ugail, Malcolm I. G. Bloor, Michael J. Wilson

Institution: University of Leeds

Language: English

Topic: Computer Graphics and Visualization Techniques

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: Government of the United Kingdom, University of Leeds

OpenAlex ID: W1978476222

FWCI: 4.156

Cites: 25

Cited by: 111

Related to: 10