Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation

Ronggui Yu

doi:10.47297/wspiedWSP2516-250034.20261001

PDF
Export
Share
Collection
Album

Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation

Volume 10, Issue 1

Views: 0 Downloads: 0

Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation
Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation
Guangzhou College of Commerce, School of Information Technology & Engineering, Guangzhou, Guangdong, 511363, China
Vol. 10, Issue 1, Pages: 158-164(2026)
Published：30 January 2026
DOI：10.47297/wspiedWSP2516-250034.20261001
Accepted：

Scan QR Code

Yu Ronggui.Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation[J].Journal of International Education and Development,2026,10(01):158-164.
DOI：

Yu Ronggui.Flexible Coefficient Distance Regularized Level Set Evolution with Application to Image Segmentation[J].Journal of International Education and Development,2026,10(01):158-164. DOI： 10.47297/wspiedWSP2516-250034.20261001.

摘要

Abstract

In recent years

some variational level set formulations

which are composed of a certain energy functional term and a distance regularization term(DRT)

have been proposed. During the evolution of the level set function(LSF)

the DRT maintains the LSF stability

eliminating the need for the complex re-initialization procedures of the traditional level set methods. The DRT should have different coefficients in different regions of the LSF. However

there is only one coefficient for the DRT of the existing re-initialization free algorithms. So we propose a flexible coefficient distance regularized level set evolution where the DRT has different coefficients in different regions of the LSF

so that the evolve rate of the LSF and image segmentation performance can be optimized. Experiments show that our algorithm has achieved good results.

关键词

Keywords

references

Osher S. and J.A. Sethian , Fronts propagating with curvature-dependent speed : Algorithms based on Hamilton-Jacobi formulations . Journal of Computational Physics . 79 ( 1 ): p . 12-49 ( 1988 ).

Kass M. , A. Witkin and D. Terzopoulos , Snakes : Active contour models . International Journal of Computer Vision , 1988 . 1 ( 4 ): p . 321–331.

Caselles V. , R. Kimmel and G. Sapiro , Geodesic active contours . INTERNATIONAL JOURNAL OF COMPUTER VISION , 1997 . 22 ( 1 ): p. 61 - 79 .

Osher S. and J.A. Sethian , Fronts propagating with curvature-dependent speed : Algorithms based on Hamilton-Jacobi formulations . Journal of Computational Physics , 1988 . 79 ( 1 ): p. 12 - 49 .

Malladi R. , J.A. Sethian and B.C. Vemuri , Shape modeling with front propagation : a level set approach . IEEE Transactions on Pattern Analysis and Machine Intelligence, 1995 . 17 ; 17 (2; 2 ): p . 158-175.

Peng D. , et al ., A PDE-Based Fast Local Level Set Method . Journal of Computational Physics , 1999 . 155 ( 2 ): p. 410 - 438 .

Weickert J. and G. Kühne , Fast methods for implicit active contour models . in Geometric Level Set Methods in Imaging, Vision and Graphics, S. Osher and N. Paragios, Eds . New York : Springer-Verlag , 2003 .

Zhao H. , et al ., A Variational Level Set Approach to Multiphase Motion . Journal of Computational Physics , 1996 . 127 ( 1 ): p. 179 - 195 .

Vemuri B. and Y. Chen , Joint Image Registration and Segmentation . Geometric Level Set Methods in Imaging , Vision , and Graphics, Springer , pp. 251 - 269 , 2003 .

Chan T.F. and L.A. Vese , Active contours without edges . IEEE Transactions on Image Processing, 2001 . 10 ; 10 (2; 2 ): p . 266-277.

G.Aubert , and P. Kornprobst , Mathematical Problems in Image Processing . New York: Springer-Verlag, 2000

J. A. Sethian, Level Set Methods and Fast Marching Methods, Cambridge : Cambridge University Press , 1999

Osher S. and R. Fedkiw , Level Set Methods and Dynamic Implicit Surfaces . New York: Springer-Verlag, 2002 .

Sussman M. , P. Smereka and S. Osher , A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow . Journal of Computational Physics , 1994 . 114 ( 1 ): p. 146 - 159 .

Li C. , et al ., Distance Regularized Level Set Evolution and Its Application to Image Segmentation . IEEE Transactions on Image Processing , 2010 . 19; 19( 12 ; 12 ): p . 3243-3254.

Li C. , et al ., Level set evolution without re-initialization: a new variational formulation, in 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) . 2005 . p. 430-436 vol. 1.

Xie X. , Active Contouring Based on Gradient Vector Interaction and Constrained Level Set Diffusion . IEEE Transactions on Image Processing, 2010 . 19 ; 19 (1; 1 ): p . 154-164.

Zhang K. , et al ., Reinitialization-Free Level Set Evolution via Reaction Diffusion . IEEE Transactions on Image Processing , 2013 . 22; 22( 1 ; 1 ): p . 258-271.

Wang X. , et al ., A novel level set method for image segmentation by incorporating local statistical analysis and global similarity measurement . PATTERN RECOGNITION , 2015 . 48 ( 1 ): p. 189 - 204 .

Alert me when the article has been cited

Submit

No data

Related Author

No data

Related Institution

No data

⁰