A second-order elastic flow for path planning in R2

Chun Chi Lin; Yang Kai Lue; Dung The Tran

doi:10.1142/S0219199722500808

A second-order elastic flow for path planning in R²

Chun Chi Lin, Yang Kai Lue^*, Dung The Tran

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

We provide an approach of elastic flow with dynamic conditions at the knot points to resolve the path planning problem in the plane. The elastic flow is set up by a second-order semilinear parabolic system with nonlocal lower-order terms. We prove the existence of classical global solutions to the elastic flow, whose asymptotic limits provide classical solutions to the path planning problem.

原文	英語
文章編號	2250080
期刊	Communications in Contemporary Mathematics
卷	26
發行號	4
DOIs	https://doi.org/10.1142/S0219199722500808
出版狀態	已發佈 - 2024 5月 1

ASJC Scopus subject areas

一般數學
應用數學

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10.1142/S0219199722500808

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KW - elastic flow

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KW - spline

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A second-order elastic flow for path planning in R2

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A second-order elastic flow for path planning in R²