Isotopic fréchet distance

Erin W. Chambers; Tao Ju; David Letscher; Lu Liu

Isotopic fréchet distance

Erin W. Chambers, Tao Ju, David Letscher, Lu Liu

Research output: Contribution to conference › Paper › peer-review

Abstract

We present a variant of the Fréchet distance (as well as geodesic and homotopic Fréchet distance) which forces the motion between the input objects to fol- low an ambient isotopy. This provides a measure of how much you need to continuously deform one shape into another while maintaining topologically equiva- lently shapes throughout the deformation.

Original language	English
State	Published - 2011
Event	23rd Annual Canadian Conference on Computational Geometry, CCCG 2011 - Toronto, ON, Canada Duration: Aug 10 2011 → Aug 12 2011

Conference

Conference	23rd Annual Canadian Conference on Computational Geometry, CCCG 2011
Country/Territory	Canada
City	Toronto, ON
Period	08/10/11 → 08/12/11

Cite this

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title = "Isotopic fr{\'e}chet distance",

abstract = "We present a variant of the Fr{\'e}chet distance (as well as geodesic and homotopic Fr{\'e}chet distance) which forces the motion between the input objects to fol- low an ambient isotopy. This provides a measure of how much you need to continuously deform one shape into another while maintaining topologically equiva- lently shapes throughout the deformation.",

author = "Chambers, {Erin W.} and Tao Ju and David Letscher and Lu Liu",

year = "2011",

language = "English",

note = "23rd Annual Canadian Conference on Computational Geometry, CCCG 2011 ; Conference date: 10-08-2011 Through 12-08-2011",

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TY - CONF

T1 - Isotopic fréchet distance

AU - Chambers, Erin W.

AU - Ju, Tao

AU - Letscher, David

AU - Liu, Lu

PY - 2011

Y1 - 2011

N2 - We present a variant of the Fréchet distance (as well as geodesic and homotopic Fréchet distance) which forces the motion between the input objects to fol- low an ambient isotopy. This provides a measure of how much you need to continuously deform one shape into another while maintaining topologically equiva- lently shapes throughout the deformation.

AB - We present a variant of the Fréchet distance (as well as geodesic and homotopic Fréchet distance) which forces the motion between the input objects to fol- low an ambient isotopy. This provides a measure of how much you need to continuously deform one shape into another while maintaining topologically equiva- lently shapes throughout the deformation.

UR - http://www.scopus.com/inward/record.url?scp=84882965856&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84882965856

T2 - 23rd Annual Canadian Conference on Computational Geometry, CCCG 2011

Y2 - 10 August 2011 through 12 August 2011

ER -

Isotopic fréchet distance

Abstract

Conference

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