<p>Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed
Approximation of Free-Discontinuity Problems
โ Scribed by Andrea Braides (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1998
- Tongue
- English
- Leaves
- 159
- Series
- Lecture Notes in Mathematics 1694
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Subjects
Partial Differential Equations; Numerical Analysis; Mathematical and Computational Physics
๐ SIMILAR VOLUMES
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (u
<p>This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in
<p><p>This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation
This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been referred to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites for the tr