On evolute cusps and skeleton bifurcations

Alexander Belyaev; Shin Yoshizawa

doi:10.1109/SMA.2001.923384

On evolute cusps and skeleton bifurcations

Alexander Belyaev
, Shin Yoshizawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time.

Original language	English
Title of host publication	Proceedings International Conference on Shape Modeling and Applications 2001
Publisher	IEEE
Pages	134-141
Number of pages	8
ISBN (Print)	9780769508535
DOIs	https://doi.org/10.1109/SMA.2001.923384
Publication status	Published - 7 Aug 2001
Event	Shape Modeling International 2001 - Genova, Italy Duration: 7 May 2001 → 11 May 2001

Conference

Conference	Shape Modeling International 2001
Abbreviated title	SMI 2001
Country/Territory	Italy
City	Genova
Period	7/05/01 → 11/05/01

ASJC Scopus subject areas

Modelling and Simulation

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10.1109/SMA.2001.923384

Cite this

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title = "On evolute cusps and skeleton bifurcations",

abstract = "Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time.",

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booktitle = "Proceedings International Conference on Shape Modeling and Applications 2001",

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note = "Shape Modeling International 2001, SMI 2001 ; Conference date: 07-05-2001 Through 11-05-2001",

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T1 - On evolute cusps and skeleton bifurcations

AU - Belyaev, Alexander

AU - Yoshizawa, Shin

PY - 2001/8/7

Y1 - 2001/8/7

N2 - Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time.

AB - Consider a 2D smooth closed curve evolving in time, the skeleton (medial axis) of the figure bounded by the curve, and the evolute of the curve. A new branch of the skeleton can appear/disappear when an evolute cusp intersects the skeleton. In this paper, we describe exact conditions of the skeleton bifurcations corresponding to such intersections. Similar results are also obtained for 3D surfaces evolving in time.

UR - https://www.scopus.com/pages/publications/0012214937

U2 - 10.1109/SMA.2001.923384

DO - 10.1109/SMA.2001.923384

M3 - Conference contribution

AN - SCOPUS:0012214937

SN - 9780769508535

SP - 134

EP - 141

BT - Proceedings International Conference on Shape Modeling and Applications 2001

PB - IEEE

T2 - Shape Modeling International 2001

Y2 - 7 May 2001 through 11 May 2001

ER -

On evolute cusps and skeleton bifurcations

Abstract

Conference

ASJC Scopus subject areas

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