Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Front propagation and phase field theory
SIAM Journal on Control and Optimization
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast level set method for propagating interfaces
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
The fast construction of extension velocities in level set methods
Journal of Computational Physics
SIAM Journal on Scientific Computing
Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
A PDE-based fast local level set method
Journal of Computational Physics
A Variational Model for Image Classification and Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finding Shortest Paths on Surfaces Using Level Sets Propagation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Gradient flows and geometric active contour models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Multi-View Stereo Reconstruction of Dense Shape and Complex Appearance
International Journal of Computer Vision
Level Set Evolution without Re-Initialization: A New Variational Formulation
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations (Applied Mathematical Sciences)
A multiphase level set framework for motion segmentation
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Snakes, shapes, and gradient vector flow
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Forward-and-backward diffusion processes for adaptive image enhancement and denoising
IEEE Transactions on Image Processing
Minimization of Region-Scalable Fitting Energy for Image Segmentation
IEEE Transactions on Image Processing
Contrast Constrained Local Binary Fitting for Image Segmentation
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Integrating local distribution information with level set for boundary extraction
Journal of Visual Communication and Image Representation
Dirichlet Gaussian mixture model: Application to image segmentation
Image and Vision Computing
Small object detection in cluttered image using a correlation based active contour model
Pattern Recognition Letters
Strongly concave star-shaped contour characterization by algebra tools
Signal Processing
Morphological gradient applied to new active contour model for color image segmentation
Proceedings of the 6th International Conference on Ubiquitous Information Management and Communication
Decoupling algorithms from schedules for easy optimization of image processing pipelines
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Efficient method of pixel neighborhood traversal
Journal of Visual Communication and Image Representation
An approach to CT stomach image segmentation using modified level set method
ACIIDS'12 Proceedings of the 4th Asian conference on Intelligent Information and Database Systems - Volume Part II
Multi-scale image segmentation algorithm based on support vector machine approximation criteria
Concurrency and Computation: Practice & Experience
The active geometric shape model: A new robust deformable shape model and its applications
Computer Vision and Image Understanding
An interactive system of stereoscopic video conversion
Proceedings of the 20th ACM international conference on Multimedia
Detecting and tracking motion of myxococcus xanthus bacteria in swarms
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Prior-Based automatic segmentation of the carotid artery lumen in TOF MRA (PASCAL)
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Multibiometric system using distance regularized level set method and particle swarm optimization
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Global optimization in discretized parameter space for predefined object segmentation
Proceedings of the 7th International Conference on Ubiquitous Information Management and Communication
Object segmentation based on location information for level set method
Proceedings of the 7th International Conference on Ubiquitous Information Management and Communication
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
A noise tolerant watershed transformation with viscous force for seeded image segmentation
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part I
Segmentation of neuronal nuclei based on clump splitting and a two-step binarization of images
Expert Systems with Applications: An International Journal
An optimization-based approach to enforcing mass conservation in level set methods
Journal of Computational and Applied Mathematics
Computers in Biology and Medicine
Segmentation of microorganism in complex environments
Pattern Recognition and Image Analysis
Information Sciences: an International Journal
Medical image segmentation schemes for the analysis of gynaecological malignancies
International Journal of Knowledge-based and Intelligent Engineering Systems
Multi-object segmentation approach based on topological derivative and level set method
Integrated Computer-Aided Engineering
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Level set methods have been widely used in image processing and computer vision. In conventional level set formulations, the level set function typically develops irregularities during its evolution, which may cause numerical errors and eventually destroy the stability of the evolution. Therefore, a numerical remedy, called reinitialization, is typically applied to periodically replace the degraded level set function with a signed distance function. However, the practice of reinitialization not only raises serious problems as when and how it should be performed, but also affects numerical accuracy in an undesirable way. This paper proposes a new variational level set formulation in which the regularity of the level set function is intrinsically maintained during the level set evolution. The level set evolution is derived as the gradient flow that minimizes an energy functional with a distance regularization term and an external energy that drives the motion of the zero level set toward desired locations. The distance regularization term is defined with a potential function such that the derived level set evolution has a unique forward-and-backward (FAB) diffusion effect, which is able to maintain a desired shape of the level set function, particularly a signed distance profile near the zero level set. This yields a new type of level set evolution called distance regularized level set evolution (DRLSE). The distance regularization effect eliminates the need for reinitialization and thereby avoids its induced numerical errors. In contrast to complicated implementations of conventional level set formulations, a simpler and more efficient finite difference scheme can be used to implement the DRLSE formulation. DRLSE also allows the use of more general and efficient initialization of the level set function. In its numerical implementation, relatively large time steps can be used in the finite difference scheme to reduce the number of iterations, while ensuring sufficient numerical accuracy. To demonstrate the effectiveness of the DRLSE formulation, we apply it to an edge-based active contour model for image segmentation, and provide a simple narrowband implementation to greatly reduce computational cost.