A locally statistical active contour model for SAR image segmentation can be solved by denoising algorithms

TL;DR

This paper introduces a novel active contour model for SAR image segmentation that effectively handles multiplicative gamma noise and is efficiently solved using denoising algorithms, demonstrating superior performance in boundary detection.

Contribution

It presents a new locally statistical variational active contour model combined with denoising algorithms, improving segmentation accuracy and computational efficiency for noisy SAR images.

Findings

Efficiently segments images with weak or blurred edges.

Automatically detects interior and exterior boundaries.

Reduces computation time by about half compared to existing methods.

Abstract

In this paper, we propose a novel locally statistical variational active contour model based on I-divergence-TV denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model, and can be used to segment images corrupted by multiplicative gamma noise. By adding a diffusion term into the level set evolution (LSE) equation of the proposed model, we construct a reaction-diffusion (RD) equation, which can gradually regularize the level set function (LSF) to be piecewise constant in each segment domain and gain the stable solution. We further transform the proposed model into classic ROF model by adding a proximity term. [27] is submitted on 29-Aug-2013, and our early edition ever submitted to TGRS on 12-Jun-2012, Venkatakrishnan et al. [31] proposed their 'pnp algorithm' on 29-May-2013, so Venkatakrishnan and we proposed the 'pnp algorithm' almost simultaneously. Inspired by a fast denoising algorithm proposed by Jia-Zhao recently, we propose two fast fixed point algorithms to solve SAR image segmentation question. Experimental results for real SAR images show that the proposed image segmentation model can efficiently stop the contours at weak or blurred edges, and can automatically detect the exterior and interior boundaries of images with multiplicative gamma noise. The proposed FPRD1/FPRD2 models are about 1/2 (or less than) of the time required for the SBRD model based on the Split Bregman technique.