Construction of target controllable image segmentation model based on homotopy perturbation technology
type: Item
instance of: scholarly article
title: Construction of target controllable image segmentation model based on homotopy perturbation technology
zbMATH Open document ID: 1266.65038
DOI: 10.1155/2013/131207
author: Shu-Li Mei
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: Based on the basic idea of the homotopy perturbation method (HPM) which was proposed by \textit{J. He} [Comput. Methods Appl. Mech. Eng. 178, No. 3--4, 257--262 (1999; Zbl 0956.70017)], a target controllable image segmentation model and the corresponding multiscale wavelet numerical method are constructed. Using the novel model, we can get the only right object from the multiobject images, which is helpful to avoid the oversegmentation and insufficient segmentation. The solution of the variational model is the nonlinear partial differential equation deduced by the variational approach. So, the bottleneck of the variational model on image segmentation is the lower efficiency of the algorithm. Combining the multiscale wavelet interpolation operator and HPM, a semianalytical numerical method can be obtained, which can improve the computational efficiency and accuracy greatly. The numerical results on some images segmentation show that the novel model and the numerical method are effective and practical.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 6161308
zbMATH Keywords: homotopy perturbation method
zbMATH Keywords: image segmentation model
zbMATH Keywords: variational approach
zbMATH Keywords: algorithm
zbMATH Keywords: multiscale wavelet interpolation operator
zbMATH Keywords: semianalytical numerical method
zbMATH Keywords: computational efficiency
zbMATH Keywords: numerical method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/131207
OpenAlex ID: W2050005096
Wikidata QID: Q58915324
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description: scientific article; zbMATH DE number 6161308