A polynomial piecewise constant approximation method based on dual constraint relaxation for segmenting images with intensity inhomogeneity

作者：

Highlights：

• A novel piecewise constant approximation method is proposed to segment images with intensity inhomogeneity.

• The objective function is defined to transform original image into piecewise constant image.

• The polynomial piecewise constant approximation realizes dual constraint relaxation for objective function.

• The proposed method is not limited by the requirement that the intensity inhomogeneity of image is slowly varying.

摘要

•A novel piecewise constant approximation method is proposed to segment images with intensity inhomogeneity.•The objective function is defined to transform original image into piecewise constant image.•The polynomial piecewise constant approximation realizes dual constraint relaxation for objective function.•The proposed method is not limited by the requirement that the intensity inhomogeneity of image is slowly varying.

论文关键词：Level set,Intensity inhomogeneity,Dual constraint relaxation,Image segmentation

论文评审过程：Received 3 September 2016, Revised 27 May 2017, Accepted 2 July 2017, Available online 4 July 2017, Version of Record 18 September 2017.

论文官网地址：https://doi.org/10.1016/j.patcog.2017.07.002