Open Access Open Access  Restricted Access Subscription or Fee Access

An adaptive active contour model with Sobolev gradient

S.L. Qi, M. Q. Wang, Leo Selavo


Image segmentation is a key step in image and vision technology. In this paper, an adaptive active contour model is proposed which is based on both L^2 gradient and Sobolev gradient. In this new model, the evolving PDE consists of two forces, one is the adaptive force which uses L2 gradient and the other is length regularization force which uses Sobolev gradient. Due to the adaptive force, the level set function can be easily initialized to a piecewise constant function rather than the widely-used signed distance function. In addition, the re-initialization procedure is not necessary, and the evolving PDE is robust with the initialization. The experimental results show that the proposed model can segment robustly two-phase piecewise constant images in a few iterations with accuracy boundary.


Image segmentation, Sobolev gradient, active contours, PDE , adaptive.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.