How to morph tilings injectively

Michael S. Floater; Craig Gotsman

doi:10.1016/S0377-0427(98)00202-7

How to morph tilings injectively

Michael S. Floater, Craig Gotsman

Research output: Contribution to journal › Article › peer-review

79 Scopus citations

Abstract

We describe a method based on convex combinations for morphing corresponding pairs of tilings in ℝ². It is shown that the method always yields a valid morph when the boundary polygons are identical, unlike the standard linear morph.

Original language	English (US)
Pages (from-to)	117-129
Number of pages	13
Journal	Journal of Computational and Applied Mathematics
Volume	101
Issue number	1-2
DOIs	https://doi.org/10.1016/S0377-0427(98)00202-7
State	Published - Jan 15 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Keywords

Convex combinations
Morphing
Polygons
Tilings
Triangulations

Access to Document

10.1016/S0377-0427(98)00202-7

Cite this

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title = "How to morph tilings injectively",

abstract = "We describe a method based on convex combinations for morphing corresponding pairs of tilings in ℝ2. It is shown that the method always yields a valid morph when the boundary polygons are identical, unlike the standard linear morph.",

keywords = "Convex combinations, Morphing, Polygons, Tilings, Triangulations",

author = "Floater, {Michael S.} and Craig Gotsman",

year = "1999",

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T1 - How to morph tilings injectively

AU - Floater, Michael S.

AU - Gotsman, Craig

PY - 1999/1/15

Y1 - 1999/1/15

N2 - We describe a method based on convex combinations for morphing corresponding pairs of tilings in ℝ2. It is shown that the method always yields a valid morph when the boundary polygons are identical, unlike the standard linear morph.

AB - We describe a method based on convex combinations for morphing corresponding pairs of tilings in ℝ2. It is shown that the method always yields a valid morph when the boundary polygons are identical, unlike the standard linear morph.

KW - Convex combinations

KW - Morphing

KW - Polygons

KW - Tilings

KW - Triangulations

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UR - http://www.scopus.com/inward/citedby.url?scp=0032687455&partnerID=8YFLogxK

U2 - 10.1016/S0377-0427(98)00202-7

DO - 10.1016/S0377-0427(98)00202-7

M3 - Article

AN - SCOPUS:0032687455

SN - 0377-0427

VL - 101

SP - 117

EP - 129

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-2

ER -

How to morph tilings injectively

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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