A piecewise constant level set method for elliptic inverse problems
Applied Numerical Mathematics
Four-Color Theorem and Level Set Methods for Watershed Segmentation
International Journal of Computer Vision
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
An Unconstrained Multiphase Thresholding Approach for Image Segmentation
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Geometric attraction-driven flow for image segmentation and boundary detection
Journal of Visual Communication and Image Representation
Active contours driven by local image fitting energy
Pattern Recognition
Active contours with selective local or global segmentation: A new formulation and level set method
Image and Vision Computing
Level set methods for watershed image segmentation
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Multiphase Soft Segmentation with Total Variation and H1 Regularization
Journal of Mathematical Imaging and Vision
Variational piecewise constant level set methods for shape optimization of a two-density drum
Journal of Computational Physics
Unsupervised multiphase segmentation: a phase balancing model
IEEE Transactions on Image Processing
Unsupervised multiphase segmentation: a phase balancing model
IEEE Transactions on Image Processing
A level set method based on the Bayesian risk for medical image segmentation
Pattern Recognition
A modified support vector machine and its application to image segmentation
Image and Vision Computing
A determined binary level set method based on mean shift for contour tracking
PCM'10 Proceedings of the 11th Pacific Rim conference on Advances in multimedia information processing: Part I
A continuous max-flow approach to potts model
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
The segmentation of the body of tongue based on the improved level set in TCM
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and simulation and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part III
Journal of Computational Physics
A fast level set-like algorithm for region-based active contours
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part III
Applied Numerical Mathematics
A Multiphase Image Segmentation Method Based on Fuzzy Region Competition
SIAM Journal on Imaging Sciences
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
International Journal of Computer Vision
Automatic region of interest detection in natural images
Proceedings of the 15th WSEAS international conference on Computers
Journal of Mathematical Imaging and Vision
Journal of Scientific Computing
Piecewise constant level set methods and image segmentation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Robust edge detection using mumford-shah model and binary level set method
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Completely Convex Formulation of the Chan-Vese Image Segmentation Model
International Journal of Computer Vision
A local modified chan–vese model for segmenting inhomogeneous multiphase images
International Journal of Imaging Systems and Technology
Multi-Object geodesic active contours (MOGAC)
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Adaptive wavelet collocation methods for image segmentation using TV---Allen---Cahn type models
Advances in Computational Mathematics
Level set evolution with locally linear classification for image segmentation
Pattern Recognition
Journal of Scientific Computing
ORACM: Online region-based active contour model
Expert Systems with Applications: An International Journal
A new level set method for inhomogeneous image segmentation
Image and Vision Computing
Image Segmentation Using Euler's Elastica as the Regularization
Journal of Scientific Computing
Computer Vision and Image Understanding
Surface embedding narrow volume reconstruction from unorganized points
Computer Vision and Image Understanding
Hi-index | 0.02 |
In this paper, we propose a PDE-based level set method. Traditionally, interfaces are represented by the zero level set of continuous level set functions. Instead, we let the interfaces be represented by discontinuities of piecewise constant level set functions. Each level set function can at convergence only take two values, i.e., it can only be 1 or -1; thus, our method is related to phase-field methods. Some of the properties of standard level set methods are preserved in the proposed method, while others are not. Using this new method for interface problems, we need to minimize a smooth convex functional under a quadratic constraint. The level set functions are discontinuous at convergence, but the minimization functional is smooth. We show numerical results using the method for segmentation of digital images.