Level set methods and dynamic implicit surfaces

S Osher, R Fedkiw, K Piechor - Appl. Mech. Rev., 2004‏ - asmedigitalcollection.asme.org
This book is intended primarily as a textbook for second-year undergraduate students in
mathematics, mathematical physics, and engineering. The book is designed as a first …

On the metrics and Euler-Lagrange equations of computational anatomy

MI Miller, A Trouvé, L Younes - Annual review of biomedical …, 2002‏ - annualreviews.org
▪ Abstract This paper reviews literature, current concepts and approaches in computational
anatomy (CA). The model of CA is a Grenander deformable template, an orbit generated …

Multi-sensor image fusion based on fourth order partial differential equations

DP Bavirisetti, G **ao, G Liu - 2017 20th International …, 2017‏ - ieeexplore.ieee.org
In this paper, a new image fusion algorithm based on fourth order partial differential
equations and principal component analysis is introduced. This is for the first time fourth …

[کتاب][B] Computer vision: algorithms and applications

R Szeliski - 2022‏ - books.google.com
Humans perceive the three-dimensional structure of the world with apparent ease. However,
despite all of the recent advances in computer vision research, the dream of having a …

[کتاب][B] Introduction to partial differential equations

PJ Olver - 2014‏ - Springer
The momentous revolution in science precipitated by Isaac Newton's calculus soon revealed
the central role of partial differential equations throughout mathematics and its manifold …

An experimental comparison of min-cut/max-flow algorithms for energy minimization in vision

Y Boykov, V Kolmogorov - IEEE transactions on pattern …, 2004‏ - ieeexplore.ieee.org
Minimum cut/maximum flow algorithms on graphs have emerged as an increasingly useful
tool for exactor approximate energy minimization in low-level vision. The combinatorial …

Ss antman je marsden l. sirovich

JKHPHJ Keener, JKBJMA Mielke, CSPKR Sreenivasan - 2005‏ - Springer
The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

Stability of persistence diagrams

D Cohen-Steiner, H Edelsbrunner, J Harer - Proceedings of the twenty …, 2005‏ - dl.acm.org
The persistence diagram of a real-valued function on a topological space is a multiset of
points in the extended plane. We prove that under mild assumptions on the function, the …

A multiphase level set framework for image segmentation using the Mumford and Shah model

LA Vese, TF Chan - International journal of computer vision, 2002‏ - Springer
We propose a new multiphase level set framework for image segmentation using the
Mumford and Shah model, for piecewise constant and piecewise smooth optimal …

Nonlocal operators with applications to image processing

G Gilboa, S Osher - Multiscale Modeling & Simulation, 2009‏ - SIAM
We propose the use of nonlocal operators to define new types of flows and functionals for
image processing and elsewhere. A main advantage over classical PDE-based algorithms …