Optimal control for reconstruction of curves without cusps

Ugo Boscain; Remco Duits; Francesco Rossi; Yuri Sachkov

doi:10.1109/CDC.2012.6427047

Optimal control for reconstruction of curves without cusps

Ugo Boscain, Remco Duits, Francesco Rossi, Yuri Sachkov

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

Abstract

We consider the problem of minimizing equation for a planar curve having fixed initial and final positions and directions. The total length ℓ is free. Here s is the variable of arclength parametrization, K(s) is the curvature of the curve and ξ > 0 a parameter. This problem comes from a model of geometry of vision due to Petitot, Citti and Sarti.

Original language	English
Title of host publication	51st IEEE Conference on Decision and Control (CDC 2012)
Pages	7679-7684
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2012.6427047
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, United States Duration: 10 Dec 2012 → 13 Dec 2012 Conference number: 51

Conference

Conference	51st IEEE Conference on Decision and Control, CDC 2012
Abbreviated title	CDC 2012
Country/Territory	United States
City	Maui
Period	10/12/12 → 13/12/12

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10.1109/CDC.2012.6427047

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title = "Optimal control for reconstruction of curves without cusps",

abstract = "We consider the problem of minimizing equation for a planar curve having fixed initial and final positions and directions. The total length ℓ is free. Here s is the variable of arclength parametrization, K(s) is the curvature of the curve and ξ > 0 a parameter. This problem comes from a model of geometry of vision due to Petitot, Citti and Sarti.",

author = "Ugo Boscain and Remco Duits and Francesco Rossi and Yuri Sachkov",

year = "2012",

doi = "10.1109/CDC.2012.6427047",

language = "English",

pages = "7679--7684",

booktitle = "51st IEEE Conference on Decision and Control (CDC 2012)",

note = "51st IEEE Conference on Decision and Control, CDC 2012, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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TY - GEN

T1 - Optimal control for reconstruction of curves without cusps

AU - Boscain, Ugo

AU - Duits, Remco

AU - Rossi, Francesco

AU - Sachkov, Yuri

N1 - Conference code: 51

PY - 2012

Y1 - 2012

N2 - We consider the problem of minimizing equation for a planar curve having fixed initial and final positions and directions. The total length ℓ is free. Here s is the variable of arclength parametrization, K(s) is the curvature of the curve and ξ > 0 a parameter. This problem comes from a model of geometry of vision due to Petitot, Citti and Sarti.

AB - We consider the problem of minimizing equation for a planar curve having fixed initial and final positions and directions. The total length ℓ is free. Here s is the variable of arclength parametrization, K(s) is the curvature of the curve and ξ > 0 a parameter. This problem comes from a model of geometry of vision due to Petitot, Citti and Sarti.

UR - http://www.scopus.com/inward/record.url?scp=84874226517&partnerID=8YFLogxK

U2 - 10.1109/CDC.2012.6427047

DO - 10.1109/CDC.2012.6427047

M3 - Conference contribution

AN - SCOPUS:84874226517

SP - 7679

EP - 7684

BT - 51st IEEE Conference on Decision and Control (CDC 2012)

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Optimal control for reconstruction of curves without cusps

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