Blending of implicit surfaces with functional splines
type: Item
instance of: scholarly article
title: Blending of implicit surfaces with functional splines
zbMATH Open document ID: 0708.65017
DOI: 10.1016/0010-4485(90)90066-L
published in: CAD. Computer-Aided Design
publication date: 1990-01-01T00:00:00Z
review text: Mechanical parts usually consist of special surfaces. We need to smooth the edges of `sharp' intersections of these surfaces by using the so- called transition surfaces. The process of smoothing sharp intersections is called blending. In this paper a general algorithm is given for blending two implicit surfaces by using plane \(G^ 2\)-functional splines which join the original intersecting surfaces \(G^ 2\)-continuously. In some special cases the equations of the transition surfaces can be determined and the full \(G^ 2\)-continuity is guaranteed.
reviewed by: Xiong Zhenxiang
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 51N05
zbMATH DE Number: 4164007
zbMATH Keywords: implicit surfaces
zbMATH Keywords: transition surfaces
zbMATH Keywords: smoothing
zbMATH Keywords: blending
zbMATH Keywords: algorithm
author: Erich Hartmann
MaRDI profile type: Publication
full work available at URL: 0010-4485(90)90066-l
OpenAlex ID: W2151707102
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description: scientific article; zbMATH DE number 4164007