Abstract
Many objects in real world have convex shapes. It is a difficult task to have representations for convex shapes with good and fast numerical solutions. This paper proposes a method to incorporate convex shape prior for multi-object segmentation using level set method. The relationship between the convexity of the segmented objects and the signed distance function corresponding to their union is analyzed theoretically. This result is combined with Gaussian mixture method for the multiple objects segmentation with convexity shape prior. Alternating direction method of multiplier (ADMM) is adopted to solve the proposed model. Special boundary conditions are also imposed to obtain efficient algorithms for 4th order partial differential equations in one step of ADMM algorithm. In addition, our method only needs one level set function regardless of the number of objects. So the increase in the number of objects does not result in the increase of model and algorithm complexity. Various numerical experiments are illustrated to show the performance and advantages of the proposed method.
Original language | English |
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Title of host publication | Proceedings - 2019 International Conference on Computer Vision, ICCV 2019 |
Publisher | IEEE |
Pages | 613-621 |
Number of pages | 9 |
ISBN (Electronic) | 9781728148038 |
DOIs | |
Publication status | Published - Oct 2019 |
Event | 17th IEEE/CVF International Conference on Computer Vision, ICCV 2019 - Seoul, Korea, Republic of Duration: 27 Oct 2019 → 2 Nov 2019 https://ieeexplore.ieee.org/xpl/conhome/8972782/proceeding |
Publication series
Name | Proceedings of the IEEE International Conference on Computer Vision |
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Volume | 2019-October |
ISSN (Print) | 1550-5499 |
Conference
Conference | 17th IEEE/CVF International Conference on Computer Vision, ICCV 2019 |
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Country/Territory | Korea, Republic of |
City | Seoul |
Period | 27/10/19 → 2/11/19 |
Internet address |
Scopus Subject Areas
- Software
- Computer Vision and Pattern Recognition