2012
DOI: 10.1186/1687-5281-2012-16
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Image segmentation algorithm by piecewise smooth approximation

Abstract: We propose a novel image segmentation algorithm using piecewise smooth (PS) approximation to image. The proposed algorithm is inspired by four well-known active contour models, i.e., Chan and Vese' piecewise constant (PC)/smooth models, the region-scalable fitting model, and the local image fitting model. The four models share the same algorithm structure to find a PC/smooth approximation to the original image; the main difference is how to define the energy functional to be minimized and the PC/smooth functio… Show more

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Cited by 9 publications
(6 citation statements)
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“…Image smoothing, a fundamental technology in image processing and computer vision, aims to clean images by retaining salient structures (to the structureonly image) and removing insignificant textures (to the texture-only image), with various applications including denoising [1], detail enhancement [2], image abstraction [3] and segmentation [4].…”
Section: Introductionmentioning
confidence: 99%
“…Image smoothing, a fundamental technology in image processing and computer vision, aims to clean images by retaining salient structures (to the structureonly image) and removing insignificant textures (to the texture-only image), with various applications including denoising [1], detail enhancement [2], image abstraction [3] and segmentation [4].…”
Section: Introductionmentioning
confidence: 99%
“…He et al [15] presented a scheme of improvement on the RSF model in terms of robustness to initialization and noise. Wang et al [16] proposed a novel algorithm by using a piecewise smooth approximation to image. However, these models have some common drawbacks; in particular, they are not suitable to segment images with Poisson noise because these models are also formulated in view of the Mumford-Shah energy functional [2].…”
Section: Introductionmentioning
confidence: 99%
“…Following the RSF variational model, various extensions and analysis have been studied [7,[14][15][16], among others. In [7], Wang et al proposed a local and global intensity fitting model in a variational level set formulation.…”
Section: Introductionmentioning
confidence: 99%
“…After the Chan and Vese's work, different models based on the M-S functional with level set methods have been developed and widely adopted in various image applications [14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%