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A ridge and corner preserving model for surface restoration

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : A ridge and corner preserving model for surface restoration
นักวิจัย : Lai, Rongjie , Tai, Xue Cheng , Chan, Tony F.
คำค้น : -
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2556
อ้างอิง : Lai, R., Tai, X. C.,& Chan, T. F. (2013). A Ridge and Corner Preserving Model for Surface Restoration. SIAM Journal on Scientific Computing, 35(2), A675-A695. , http://hdl.handle.net/10220/13175 , http://dx.doi.org/10.1137/110846634
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : SIAM journal on scientific computing
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

One challenge in surface restoration is to design surface diffusion preserving ridges and sharp corners. In this paper, we propose a new surface restoration model based on the observation that surfaces' implicit representations are continuous functions whose first order derivatives have discontinuities at ridges and sharp corners. Regularized by vectorial total variation on the derivatives of surfaces' implicit representation functions, the proposed model has ridge and corner preserving properties validated by numerical experiments. To solve the proposed fourth order and convex problem efficiently, we further design a numerical algorithm based on the augmented Lagrangian method. Moreover, the theoretical convergence analysis of the proposed algorithm is also provided. To demonstrate the efficiency and robustness of the proposed method, we show restoration results on several different surfaces and also conduct comparisons with the mean curvature flow method and the nonlocal mean method.

บรรณานุกรม :
Lai, Rongjie , Tai, Xue Cheng , Chan, Tony F. . (2556). A ridge and corner preserving model for surface restoration.
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lai, Rongjie , Tai, Xue Cheng , Chan, Tony F. . 2556. "A ridge and corner preserving model for surface restoration".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Lai, Rongjie , Tai, Xue Cheng , Chan, Tony F. . "A ridge and corner preserving model for surface restoration."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2556. Print.
Lai, Rongjie , Tai, Xue Cheng , Chan, Tony F. . A ridge and corner preserving model for surface restoration. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2556.