Approximation of variable-radius offset curves and its application to Bézier brush-stroke design
type: Item
instance of: scholarly article
title: Approximation of variable-radius offset curves and its application to Bézier brush-stroke design
zbMATH Open document ID: 0794.65012
DOI: 10.1016/0010-4485(93)90010-L
author: Myung-Soo Kim
author: E.-J. Park
author: Soon-Bum Lim
published in: CAD. Computer-Aided Design
publication date: 1994-05-10T00:00:00Z
review text: The authors consider plane curves \(y(t)= x(t)+ r(t) n(t)\) where \(n\) is the (left-handed) unit normal to \(x\). These curves are useful to model brush strokes. They give the formulas for Bézier approximations of the curves, controlled by the endpoints and the tangent directions at these endpoints. The control of these tangent directions introduces two additional parameters that can be used to vary the shapes of the resulting approximations. This gives two parameters with which to control a field of cubic Bézier approximations to these offset curves.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 566267
zbMATH Keywords: variable-radius offset curves
zbMATH Keywords: Bézier brush-stroke design
zbMATH Keywords: Bézier approximations
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 566267