1 citations · 1 across the 6 of their papers we have counts for
6 papers
Segmentation of monotone data by Kobayashi-Warren-Carter type total variation energies
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +1
We consider a Kobayashi-Warren-Carter (KWC) type total variation energy with a fidelity term. Since the energy is non-convex, the profiles of minimizers are quite different from th…
On segmentation by total variation type energies of Kobayashi-Warren-Carter type with fidelity
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +2
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit…
A few topics on total variation flows
Yoshikazu Giga, Hirotoshi Kuroda, Michał Łasica
Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including defini…
Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +3
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling…
The fourth-order total variation flow in
Yoshikazu Giga, Hirotoshi Kuroda, Michał Łasica
We define rigorously a solution to the fourth-order total variation flow equation in . If , it can be understood as a gradient flow of the total variation ene…
The Mosco convergence of Dirichlet forms approximating the Laplace operators with the delta potential on thin domains
Hirotoshi Kuroda
We consider the convergent problems of Dirichlet forms associated with the Laplace operators on thin domains. This problem appears in the field of quantum waveguides. We study that…