How to morph tilings injectively

被引：53

作者：

Floater, MS

Gotsman, C

机构：

[1] Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, Israel

[2] SINTEF, N-0314 Oslo, Norway

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 101卷 / 1-2期

关键词：

morphing; triangulations; tilings; polygons; convex combinations;

D O I：

10.1016/S0377-0427(98)00202-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a method based on convex combinations for morphing corresponding pairs of tilings in R-2. It is shown that the method always yields a valid morph when the boundary polygons are identical, unlike the standard linear morph. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：117 / 129

页数：13

共 20 条

[1] ON COMPATIBLE TRIANGULATIONS OF SIMPLE POLYGONS [J].

ARONOV, B ;

SEIDEL, R ;

SOUVAINE, D .

COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 1993, 3 (01) :27-35

[2] Feature-based image metamorphosis [J].

Beier, Thaddeus ;

Neely, Shawn .

Computer Graphics (ACM), 1992, 26 (02) :35-42

[3] Matching of freeform curves [J].

Cohen, S ;

Elber, G ;

BarYehuda, R .

COMPUTER-AIDED DESIGN, 1997, 29 (05) :369-378

[4] Compatible star decompositions of simple polygons [J].

Etzion, M ;

Rappoport, A .

IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 1997, 3 (01) :87-95

[5] Parametrization and smooth approximation of surface triangulations [J].

Floater, MS .

COMPUTER AIDED GEOMETRIC DESIGN, 1997, 14 (03) :231-250

[6]

FLOATER MS, IN PRESS INT J SHAPE

[7] Foldover-free image warping [J].

Fujimura, K ;

Makarov, M .

GRAPHICAL MODELS AND IMAGE PROCESSING, 1998, 60 (02) :100-111

[8]

GOLDSTEIN E, 1995, POLYGON MORPHING USI

[9]

GORE R, 1996, NATL GEOGR, V189, P15

[10]

HE T, 1994, P VISUALIZATION 94

← 1 2 →