Curvature-driven image inpainting model based on Helmholtz vorticity equation

Jisuanji Yanjiu yu Fazhan/Computer Research and Development

Volumn 44, Issue 5, 2007, Pages 860-866

  Wu, Jiying ^a   Ruan, Qiuqi ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

Anisotropic diffusion; Curvature; Helmholtz vorticity equation; Image inpainting; Partial differential equation

Indexed keywords

FLUID MECHANICS; GEOMETRY; IMAGE PROCESSING; KINETICS; PARTIAL DIFFERENTIAL EQUATIONS; TWO DIMENSIONAL; VORTICITY;

ANISOTROPIC DIFFUSION; CURVATURE; DIFFUSION PROPERTY; DISSIPATION PROPERTY; GEOMETRIC STRUCTURE; HELMHOLTZ VORTICITY EQUATION; HUMAN VISION SYSTEM; IMAGE DOMAIN; IMAGE INPAINTING; ISOPHOTE; LINEAR STRUCTURE; SURFACE KINETIC EQUATION; TARGET REGION;

HELMHOLTZ EQUATION;

EID: 34249985457     PISSN: 10001239     EISSN: None     Source Type: Journal    
DOI: 10.1360/crad20070518     Document Type: Article

References (11)

1. M Bertalmio, G. Sapiro, V Caselles, et al. Image inpainting[C]. Computer Graphics Processings, Annual Conference Series, ACM SIGGRAPH, New Orleans, LA, 2000
2. T F Chan, J Shen, Mathematical models for local nontexture inpaintings[J]. SIAM Journal on Applied Math, 2001, 62(3): 1019-1043
3. T F Chan, J Shen. Non-texture inpainting by curvature-driven diffusions (CDD)[J]. Journal of Visual Communication and Image Representation, 2001, 4(12): 436-449
4. T F Chan, S H Kang, J Shen. Euler's elastica and curvature based inpainting[J]. SIAM Journal of Applied Mathematics, 2002, 63(2): 564-592
5. M Bertalmio, A L Bertozi, G Sapiro. Navier-Stokes. Fluid dynamics and image and video inpainting[C]. IEEE Conf on Computer Vision and Pattern Recognition, Kauai, Hawaii, 2001
6. Dong Zengnan, Zhang Zixiong. Inviscid Fluid Mechanics[M]. Beijing: Tsinghua University Press, 2003 (in Chinese)
7. C Ballester, M Bertalmio, V Caselles, et al. Filling-in by joint interpolation of vector fields and gray levels[J]. IEEE Trans on Image Processing, 2001, 10(8): 1200-1211
8. C Ballester, V Caselles, J Verdera, et al. A variational model for filling-in gray level and color images[C]. Int'l Conf on Computer Vision, Vancouver, 2001
9. Perona, J Malik. Scale-space and edge detection using anisotropic diffusion[J]. IEEE Trans on Pattern Analysis and Machine Intelligence, 1990, 12(7): 629-639
10. S Osher, J A Sethian. Front propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations[J]. Journal of Computer Physics, 1988, 79: 12-49
11. F Chan, S Osher, J Shen. The digital TV filter and nonlinear denoising[J]. IEEE Trans on Image Processing, 2001, 10(10): 231-241