[HTML][HTML] Phase field approximation of cohesive fracture models
We obtain a cohesive fracture model as Γ-limit, as ε→ 0, of scalar damage models in which
the elastic coefficient is computed from the damage variable v through a function f ε of the …
the elastic coefficient is computed from the damage variable v through a function f ε of the …
The Mumford–Shah variational model for image segmentation: An overview of the theory, implementation and use
A Vitti - ISPRS journal of photogrammetry and remote sensing, 2012 - Elsevier
Image segmentation is a hot topic of research given its applicability as a pre-processing
technique in many image understanding applications. This paper describes the Mumford …
technique in many image understanding applications. This paper describes the Mumford …
Variational restoration and edge detection for color images
Variational Restoration and Edge Detection for Color Images Page 1 Journal of Mathematical
Imaging and Vision 18: 247–268, 2003 c 2003 Kluwer Academic Publishers. Manufactured in …
Imaging and Vision 18: 247–268, 2003 c 2003 Kluwer Academic Publishers. Manufactured in …
[HTML][HTML] Fragmentation of inflated elastic brittle rings: Emergence of the quasi-equidistant spacing of cracks
S Michel, AA Sipos - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
The order of appearance and the position of meridional cracks in brittle domes is a delicate
question of mechanics. This paper investigates a dimension-reduced model, a pressurized …
question of mechanics. This paper investigates a dimension-reduced model, a pressurized …
Asymptotic analysis of Ambrosio--Tortorelli energies in linearized elasticity
M Focardi, F Iurlano - SIAM Journal on Mathematical Analysis, 2014 - SIAM
We provide an approximation result in the sense of Γ-convergence for energies of the form
\int_ΩQ_1(e(u))\,dx+a\,H^n-1(J_u)+b\,J_uQ_0^1/2(u⊙\nu_u)\,dH^n-1, where Ω⊂R^n is a …
\int_ΩQ_1(e(u))\,dx+a\,H^n-1(J_u)+b\,J_uQ_0^1/2(u⊙\nu_u)\,dH^n-1, where Ω⊂R^n is a …
Numerical minimization of a second-order functional for image segmentation
M Zanetti, V Ruggiero, M Miranda Jr - Communications in nonlinear science …, 2016 - Elsevier
In this paper we address the numerical minimization of a variational approximation of the
Blake–Zisserman functional given by Ambrosio, Faina and March. Our approach exploits a …
Blake–Zisserman functional given by Ambrosio, Faina and March. Our approach exploits a …
A survey on the Blake–Zisserman functional
The aim of this work is to provide a concise survey of results about the Blake–Zisserman
functional for image segmentation and inpainting. Moreover a refinement of the Almansi …
functional for image segmentation and inpainting. Moreover a refinement of the Almansi …
Mathematical analysis of a inf-convolution model for image processing
M Bergounioux - Journal of Optimization Theory and Applications, 2016 - Springer
We deal with a second-order image decomposition model to perform denoising and texture
extraction that was previously presented. We look for the decomposition of an image as the …
extraction that was previously presented. We look for the decomposition of an image as the …
[PDF][PDF] Euler equations for Blake and Zisserman functional
12/12/2006 EULER EQUATIONS FOR BLAKE & ZISSERMAN FUNCTIONAL Michele Carriero*
Antonio Leaci* Franco Tomarelli** Abstract - W Page 1 12/12/2006 EULER EQUATIONS FOR …
Antonio Leaci* Franco Tomarelli** Abstract - W Page 1 12/12/2006 EULER EQUATIONS FOR …
Roof planes detection via a second-order variational model
B Benciolini, V Ruggiero, A Vitti, M Zanetti - ISPRS Journal of …, 2018 - Elsevier
The paper describes a unified automatic procedure for the detection of roof planes in
gridded height data. The procedure exploits the Blake-Zisserman (BZ) model for …
gridded height data. The procedure exploits the Blake-Zisserman (BZ) model for …