Note on the Existence of Minimizers for Variational Geometric Active Contours

EHS Diop, V Burdin, VB Prasath - arXiv preprint arXiv:2210.12773, 2022 - arxiv.org
We propose here a proof of existence of a minimizer of a segmentation functional based on
a priori information on target shapes, and formulated with level sets. The existence of a …

Variational approximation of a functional of Mumford–Shah type in codimension higher than one

F Ghiraldin - ESAIM: Control, Optimisation and Calculus of …, 2014 - cambridge.org
In this paper we consider a new kind of Mumford–Shah functional E (u, Ω) for maps u: ℝm→
ℝn with m≥ n. The most important novelty is that the energy features a singular set Su of …

Theory of functions of bounded variation and its applications

K Kikuchi - Sugaku Expositions, 2022 - ams.org
AMS :: Sugaku Expositions Skip to Main Content American Mathematical Society American
Mathematical Society MathSciNet Bookstore Publications Publications — Over 100 years of …

[PDF][PDF] Flat currents and Mumford-Shah functionals in codimension higher that one

F Ghiraldin - 2013 - ricerca.sns.it
The theory of currents was developed during the 50's in response to the difficulty of solving
via the classical parametric methods [Cou50] the Plateau problem for surfaces of dimension …

有界変動函数の理論とその応用

菊地光嗣 - 数学, 2017 - jstage.jst.go.jp
有界変動函数の理論とその応用 菊 地 光 嗣 Page 1 362 有界変動函数の理論とその応用 菊地光嗣
1 序 この論説では主として多変数の有界変動函数について取り上げたいと思う.一変数の有界変動 …