Variational approach to image segmentation

2001 ◽  
Author(s):  
Yan Tian ◽  
Hongbo Xu ◽  
Jianguo Liu
Keyword(s):  
Image Segmentation ◽  
Variational Approach

Variational approach to semi-automated 2D image segmentation

2019 ◽  
Author(s):  
Jaromir Kukal ◽  
Zuzana Krbcová ◽  
Iva Nachtigalova ◽  
Jan Švihlík ◽  
Karel Fliegel
Keyword(s):  
Image Segmentation ◽  
Variational Approach

SPARSE TEMPLATE-BASED VARIATIONAL IMAGE SEGMENTATION

2011 ◽  
Vol 03 (01n02) ◽  
pp. 149-166 ◽  
Author(s):  
DIRK BREITENREICHER ◽  
JAN LELLMANN ◽  
CHRISTOPH SCHNÖRR
Keyword(s):  
Image Segmentation ◽  
Objective Function ◽  
Prior Knowledge ◽  
Variational Approach ◽  
Large Scale ◽  
Convex Relaxation ◽  
Variational Inference ◽  
Numerical Examples ◽  
Variational Image ◽  
Data Term

We introduce a variational approach to image segmentation based on sparse coverings of image domains by shape templates. The objective function combines a data term that achieves robustness by tolerating overlapping templates with a regularizer enforcing sparsity. A suitable convex relaxation leads to the variational approach that is amenable to large-scale convex programming. Our approach takes implicitly into account prior knowledge about the shape of objects and their parts, without resorting to combinatorially difficult problems of variational inference. We illustrate our approach by numerical examples and indicate how prior knowledge acquisition may be achieved by learning from examples.

scholarly journals A Variational Approach to Simultaneous Image Segmentation and Bias Correction

2015 ◽  
Vol 45 (8) ◽  
pp. 1426-1437 ◽  
Author(s):  
Kaihua Zhang ◽  
Qingshan Liu ◽  
Huihui Song ◽  
Xuelong Li
Keyword(s):  
Image Segmentation ◽  
Bias Correction ◽  
Variational Approach

scholarly journals Construction of Target Controllable Image Segmentation Model Based on Homotopy Perturbation Technology

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shu-Li Mei
Keyword(s):  
Image Segmentation ◽  
Numerical Method ◽  
Variational Approach ◽  
Homotopy Perturbation Method ◽  
Nonlinear Pdes ◽  
Variational Model ◽  
The Novel ◽  
Lower Efficiency ◽  
Homotopy Perturbation ◽  
Novel Model

Based on the basic idea of the homotopy perturbation method which was proposed by Jihuan He, 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 PDEs 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.

Sonar Image Segmentation of Seabed Targets Using a Variational Approach

2021 ◽  
pp. 123-128
Author(s):  
Yuanyuan Tian ◽  
Yibing Xue ◽  
Haitao Guo
Keyword(s):  
Image Segmentation ◽  
Variational Approach ◽  
Sonar Image
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