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Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces
นักวิจัย : Wu, Chunlin , Zhang, Juyong , Duan, Yuping , Tai, Xue Cheng
คำค้น : DRNTU::Engineering::Computer science and engineering
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2554
อ้างอิง : Wu, C., Zhang, J., Duan, Y., & Tai, X.-C. (2012). Augmented Lagrangian Method for Total Variation Based Image Restoration and Segmentation Over Triangulated Surfaces. Journal of Scientific Computing, 50(1), 145-166. , 1573-7691 , http://hdl.handle.net/10220/11470 , http://dx.doi.org/10.1007/s10915-011-9477-3
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Journal of scientific computing
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

Recently total variation (TV) regularization has been proven very successful in image restoration and segmentation. In image restoration, TV based models offer a good edge preservation property. In image segmentation, TV (or vectorial TV) helps to obtain convex formulations of the problems and thus provides global minimizations. Due to these advantages, TV based models have been extended to image restoration and data segmentation on manifolds. However, TV based restoration and segmentation models are difficult to solve, due to the nonlinearity and non-differentiability of the TV term. Inspired by the success of operator splitting and the augmented Lagrangian method (ALM) in 2D planar image processing, we extend the method to TV and vectorial TV based image restoration and segmentation on triangulated surfaces, which are widely used in computer graphics and computer vision. In particular, we will focus on the following problems. First, several Hilbert spaces will be given to describe TV and vectorial TV based variational models in the discrete setting. Second, we present ALM applied to TV and vectorial TV image restoration on mesh surfaces, leading to efficient algorithms for both gray and color image restoration. Third, we discuss ALM for vectorial TV based multi-region image segmentation, which also works for both gray and color images. The proposed method benefits from fast solvers for sparse linear systems and closed form solutions to subproblems. Experiments on both gray and color images demonstrate the efficiency of our algorithms.

บรรณานุกรม :
Wu, Chunlin , Zhang, Juyong , Duan, Yuping , Tai, Xue Cheng . (2554). Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Wu, Chunlin , Zhang, Juyong , Duan, Yuping , Tai, Xue Cheng . 2554. "Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Wu, Chunlin , Zhang, Juyong , Duan, Yuping , Tai, Xue Cheng . "Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2554. Print.
Wu, Chunlin , Zhang, Juyong , Duan, Yuping , Tai, Xue Cheng . Augmented Lagrangian method for total variation based image restoration and segmentation over triangulated surfaces. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2554.