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 …

A review of algorithms for medical image segmentation and their applications to the female pelvic cavity

Z Ma, JMRS Tavares, RN Jorge… - Computer Methods in …, 2010 - Taylor & Francis
This paper aims to make a review on the current segmentation algorithms used for medical
images. Algorithms are classified according to their principal methodologies, namely the …

[图书][B] Anisotropic diffusion in image processing

J Weickert - 1998 - lpi.tel.uva.es
Partial differential equations (PDEs) have led to an entire new field in image processing and
computer vision. Hundreds of publications have appeared in the last decade, and PDE …

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 …

[图书][B] Mathematical problems in image processing: partial differential equations and the calculus of variations

G Aubert, P Kornprobst, G Aubert - 2006 - Springer
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus
of Variations | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu …

Localizing region-based active contours

S Lankton, A Tannenbaum - IEEE transactions on image …, 2008 - ieeexplore.ieee.org
In this paper, we propose a natural framework that allows any region-based segmentation
energy to be re-formulated in a local way. We consider local rather than global image …

Automatic breast ultrasound image segmentation: A survey

M Xian, Y Zhang, HD Cheng, F Xu, B Zhang, J Ding - Pattern Recognition, 2018 - Elsevier
Breast cancer is one of the leading causes of cancer death among women worldwide. In
clinical routine, automatic breast ultrasound (BUS) image segmentation is very challenging …

Fast global minimization of the active contour/snake model

X Bresson, S Esedoḡlu, P Vandergheynst… - Journal of Mathematical …, 2007 - Springer
The active contour/snake model is one of the most successful variational models in image
segmentation. It consists of evolving a contour in images toward the boundaries of objects …

Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification

A Tsai, A Yezzi, AS Willsky - IEEE transactions on Image …, 2001 - ieeexplore.ieee.org
We first address the problem of simultaneous image segmentation and smoothing by
approaching the Mumford-Shah (1989) paradigm from a curve evolution perspective. In …

Geodesic active contours and level sets for the detection and tracking of moving objects

N Paragios, R Deriche - IEEE Transactions on pattern analysis …, 2000 - ieeexplore.ieee.org
This paper presents a new variational framework for detecting and tracking multiple moving
objects in image sequences. Motion detection is performed using a statistical framework for …