Numerical algorithm for image segmentation based on variational method

[in Chinese]; [in Chinese]; [in Chinese]; [in Chinese]

Journals >Infrared and Laser Engineering >Volume 31 >Issue 4 >Page 310 > Article

Infrared and Laser Engineering
Vol. 31, Issue 4, 310 (2002)

Numerical algorithm for image segmentation based on variational method

[in Chinese]^{1、2、3、4}, [in Chinese]^{1、2、3、4}, [in Chinese]^{1、2、3、4}, and [in Chinese]^{1、2、3、4}

Author Affiliations

¹[in Chinese]

²[in Chinese]

³[in Chinese]

⁴430074

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DOI: Cite this Article

[in Chinese], [in Chinese], [in Chinese], [in Chinese]. Numerical algorithm for image segmentation based on variational method[J]. Infrared and Laser Engineering, 2002, 31(4): 310 Copy Citation Text

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Abstract

A mathematical model for image segmentation is presented. The link between Mumford-Shah's functional and image segmentation is discussed. As there is not an effective numerical method to solve this problem, a feasible algorithm for the variational problem in 1D is developed and then it is extended to 2D (image). A few experimental results proved the efficiency for the case of 1D and 2D.

Keywords

Bounded variation functions Hausdorff measures Image segmentation Variational method Γ-convergence

[in Chinese], [in Chinese], [in Chinese], [in Chinese]. Numerical algorithm for image segmentation based on variational method[J]. Infrared and Laser Engineering, 2002, 31(4): 310

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