C 2 Gregory patch

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Date
1991
Authors
Miuraa, Kenjiro Takai
Wangb, Kuo-King
Journal Title
Journal ISSN
Volume Title
Publisher
Eurographics Association
Abstract
G² continuity of free-form surfaces is sometimes very important in engineering applications. The conditions for G2 continuity between two Bezier patches has been studied and methods developed to ensure such continuity. However, certain restrictions on the shapes of such patches arise within the Bezier-patch formulation. The Gregory patch is a kind of free-form surface patch which is an extension of the Bezier patch such that cross-boundary first derivatives can be specified without restrictions on the compatibility condition. In this paper, we extend the idea of the Gregory patch and develop a formulation for the C² Gregory patch. The properties of the C² Gregory patch are discussed as well as its connection with a Bezier patch and a G² continuous interpolation method based upon such patches.
Description

        
@inproceedings{
10.2312:egtp.19911036
,
booktitle = {
EG 1991-Technical Papers
},
editor = {},
title = {{
C 2 Gregory patch
}},
author = {
Miuraa, Kenjiro Takai
 and 
Wangb, Kuo-King
},
year = {
1991
},
publisher = {
Eurographics Association
},
ISSN = {
1017-4656
},
ISBN = {},
DOI = {
10.2312/egtp.19911036
}
}
Citation
URI
https://doi.org/10.2312/egtp.19911036
Collections
EG1991 Proceedings (Technical Papers)
EG1991 Proceedings (Technical Papers)