A three-stage approach for segmenting degraded color images: Smoothing, Lifting and Thresholding (SLaT)

In this paper, we propose a Smoothing, Lifting and Thresholding (SLaT) method with three stages for multiphase segmentation of color images corrupted by different degradations: noise, information loss and blur. At the first stage, a convex variant of the Mumford–Shah model is applied to each channel to obtain a smooth image. We show that the model has unique solution under different degradations. In order to properly handle the color information, the second stage is dimension lifting where we consider a new vector-valued image composed of the restored image and its transform in a secondary color space to provide additional information. This ensures that even if the first color space has highly correlated channels, we can still have enough information to give good segmentation results. In the last stage, we apply multichannel thresholding to the combined vector-valued image to find the segmentation. The number of phases is only required in the last stage, so users can modify it without the need of solving the previous stages again. Experiments demonstrate that our SLaT method gives excellent results in terms of segmentation quality and CPU time in comparison with other state-of-the-art segmentation methods.

Color spaces, Convex variational models, Multiphase color image segmentation, Mumford–Shah model

10.1007/s10915-017-0402-2

1064-8275

1313-1332

Cai, Xiaohao

de483445-45e9-4b21-a4e8-b0427fc72cee

Chan, Raymond

9185af9b-f073-4e3d-8f22-1dac8d28db58

Nikolova, Mila

f3374818-e03c-4f5d-8458-64ec9ce1d73c

Zeng, Tieyong

8bae04dd-2c0d-49f2-898b-30cdc0f5e286

1 September 2017