Convex Formulation and Exact Global Solutions for Multi-phase Piecewise Constant Mumford-Shah Image Segmentation

A New Image Segmentation Method Based on Improved Fast Implicit Level Set Scheme in X/γ-Ray Inspection System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.103.705 ◽

2011 ◽

Vol 103 ◽

pp. 705-710 ◽

Cited By ~ 2

Author(s):

Yu Jie Li ◽

Hui Min Lu ◽

Li Feng Zhang ◽

Shi Yuan Yang ◽

Serikawa Seiichi

Keyword(s):

Image Segmentation ◽

Level Set ◽

Active Contours ◽

Operator Splitting ◽

Inspection System ◽

Segmentation Method ◽

Piecewise Constant ◽

Γ Ray ◽

Luggage Inspection ◽

Segmentation Of Images

Digital X/γ-ray imaging technology has been widely used to help people deliver effective and reliable security in airports, train stations, and public buildings. Nowadays, luggage inspection system with digital radiographic/computed tomography (DR/CT) represents a most advanced nondestructive inspection technology in aviation system, which is capable of automatically discerning interesting regions in the luggage objects with CT subsystem. In this paper, we propose a new model for active contours to detect luggage objects in the system, in order to facilitate people to identify the things in luggage. The proposed method is based on techniques of piecewise constant and piecewise smooths Chan-Vese Model, semi-implicit additive operator splitting (AOS) scheme for image segmentation. Different from traditional models, the fast implicit level set scheme (FILS) is ordinary differential equation (ODE). Characterized by no need of any pre-information of topology of images and efficient segmentation of images with complex topology, the FILS scheme is fast more than traditional level set scheme 30 times. At the same time, it performs well in image segmentation of DR images in our experiments.

Download Full-text

A multi-phase semi-automatic approach for multisequence brain tumor image segmentation

Expert Systems with Applications ◽

10.1016/j.eswa.2018.06.041 ◽

2018 ◽

Vol 112 ◽

pp. 288-300 ◽

Cited By ~ 9

Author(s):

Khai Yin Lim ◽

Rajeswari Mandava

Keyword(s):

Image Segmentation ◽

Brain Tumor ◽

Multi Phase

Download Full-text

Spatially Adaptive Regularization in Image Segmentation

Algorithms ◽

10.3390/a13090226 ◽

2020 ◽

Vol 13 (9) ◽

pp. 226

Author(s):

Laura Antonelli ◽

Valentina De Simone ◽

Daniela di Serafino

Keyword(s):

Image Segmentation ◽

Split Bregman ◽

Minimization Method ◽

Piecewise Constant ◽

Median Filters ◽

Spatial Image ◽

Local Regularization ◽

Spatial Features ◽

Spatially Adaptive ◽

The Given

We present a total-variation-regularized image segmentation model that uses local regularization parameters to take into account spatial image information. We propose some techniques for defining those parameters, based on the cartoon-texture decomposition of the given image, on the mean and median filters, and on a thresholding technique, with the aim of preventing excessive regularization in piecewise-constant or smooth regions and preserving spatial features in nonsmooth regions. Our model is obtained by modifying a well-known image segmentation model that was developed by T. Chan, S. Esedoḡlu, and M. Nikolova. We solve the modified model by an alternating minimization method using split Bregman iterations. Numerical experiments show the effectiveness of our approach.

Download Full-text

Construction of the Global Solutions to the Perturbed Riemann Problem for the Leroux System

Advances in Mathematical Physics ◽

10.1155/2016/4808610 ◽

2016 ◽

Vol 2016 ◽

pp. 1-13

Author(s):

Pengpeng Ji ◽

Chun Shen

Keyword(s):

Initial Data ◽

Riemann Problem ◽

Phase Plane ◽

Wave Interaction ◽

Global Solutions ◽

Geometrical Structures ◽

Small Perturbations ◽

Riemann Solutions ◽

Piecewise Constant ◽

Rarefaction Curves

The global solutions of the perturbed Riemann problem for the Leroux system are constructed explicitly under the suitable assumptions when the initial data are taken to be three piecewise constant states. The wave interaction problems are widely investigated during the process of constructing global solutions with the help of the geometrical structures of the shock and rarefaction curves in the phase plane. In addition, it is shown that the Riemann solutions are stable with respect to the specific small perturbations of the Riemann initial data.

Download Full-text