Weighted variational model for selective image segmentation with application to medical images

作者:

Highlights:

• A new variational selective segmentation model which contains both the edge information and the marker points is proposed.

• Existence and uniqueness of the minimizer can be guaranteed.

• Fast and efficient numerical algorithm can be developed and the linear convergence can be proved under mild conditions.

• Numerical experiments and comparisons for some challenging medical images demonstrate the usefulness of the proposed method.

摘要

•A new variational selective segmentation model which contains both the edge information and the marker points is proposed.•Existence and uniqueness of the minimizer can be guaranteed.•Fast and efficient numerical algorithm can be developed and the linear convergence can be proved under mild conditions.•Numerical experiments and comparisons for some challenging medical images demonstrate the usefulness of the proposed method.

论文关键词:Selective segmentation,Mumford-Shah model,Thresholding,Medical images,Iterative algorithm

论文评审过程:Received 18 January 2017, Revised 1 November 2017, Accepted 16 November 2017, Available online 20 November 2017, Version of Record 5 December 2017.

论文官网地址:https://doi.org/10.1016/j.patcog.2017.11.019