Volumetric nonlinear anisotropic diffusion on GPUs

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6667 LNCS, Issue , 2012, Pages 62-73

  Schwarzkopf, Andreas ^a   Kalbe, Thomas ^a   Bajaj, Chandrajit ^b   Kuijper, Arjan ^a,c   Goesele, Michael ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^c FRAUNHOFER IGD   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC IMAGE; COMPUTATIONAL BOTTLENECKS; EFFICIENT IMPLEMENTATION; EIGENVALUE DECOMPOSITION; HESSIAN MATRICES; ISODENSITY SURFACE; NON-LINEAR ANISOTROPIC DIFFUSION; PROGRAMMABLE GRAPHICS PROCESSING UNIT; SURFACE NORMALS; TANGENT PLANE; TANGENT SPACE;

COMPUTER VISION; EIGENVALUES AND EIGENFUNCTIONS; OPTICAL ANISOTROPY; PROGRAM PROCESSORS;

DIFFUSION;

EID: 84855661435     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-24785-9_6     Document Type: Conference Paper

References (25)

1. Koenderink, J.J.: The structure of images. Biological Cybernetics 50, 363-370 (1984)
2. Lindeberg, T.: Scale-Space Theory in Computer Vision. The Kluwer International Series in Engineering and Computer Science. Kluwer Academic Publishers, Dordrecht (1994)
3. Weickert, J.: A review of nonlinear diffusion filtering. In: ter Haar Romeny, B.M., Florack, L.M.J., Viergever, M.A. (eds.) Scale-Space 1997. LNCS, vol. 1252, pp. 1-28. Springer, Heidelberg (1997)
4. Lindeberg, T.: Generalized Gaussian scale-space axiomatics comprising linear scale-space, affine scale-space and spatio-temporal scale-space. Journal of Mathematical Imaging and Vision, 1-46 (2010)
5. Kuijper, A.: Geometrical PDEs based on second order derivatives of gauge coordinates in image processing. Image and Vision Computing 27(8), 1023-1034 (2009)
6. Weickert, J.: Coherence enhancing diffusion filtering. International Journal of Computer Vision 31, 111-127 (1999)
7. Tasdizen, T., Whitaker, R., Burchard, P., Osher, S.: Geometric surface smoothing via anisotropic diffusion of normals. In: Proc. VIS 2002, pp. 125-132 (2002)
8. Bajaj, C.L., Xu, G.: Adaptive surfaces fairing by geometric diffusion. In: Symp. CAGD, pp. 731-737 (2001)
9. Bajaj, C.L., Xu, G.: Anisotropic diffusion of surfaces and functions on surfaces. ACM Trans. Graph. 22(1), 4-32 (2003)
10. Lipnikov, K., Shashkov, M., Svyatskiy, D., Vassilevski, Y.: Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. Journal of Computational Physics 227(1), 492-512 (2007)
11. Agelas, L., Masson, R.: Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes. Comptes Rendus Mathematique 346(17-18), 1007-1012 (2008)
12. Zhang, X., Chen, W., Qian, L., Ye, H.: Affine invariant non-linear anisotropic diffusion smoothing strategy for vector-valued images. Imaging Science Journal 58(3), 119-124 (2010)
13. Hadwiger, M., Sigg, C., Scharsach, H., Bühler, K., Gross, M.H.: Real-time ray-casting and advanced shading of discrete isosurfaces. Comp. Graph. Forum 24(3), 303-312 (2005)
14. Tabik, S., Garzon, E., Garcia, I., Fernandez, J.: Implementation of anisotropic nonlinear diffusion for filtering 3D images in structural biology on SMP clusters. In: Proc. Int. Conf. Parallel Computing: Current & Future Issues of High-End Computing, ParCo., vol. 33, pp. 727-734 (2005)
15. Interactive 3D seismic fault detection on the graphics hardware. In: Proc. Volume Graphics (2006)
16. Zhao, Y.: Lattice Boltzman based PDE solver on the GPU. The Visual Computer 24(5), 323-333 (2008)
17. Beyer, J., Langer, C., Fritz, L., Hadwiger, M., Wolfsberger, S., Bühler, K.: Interactive diffusion-based smoothing and segmentation of volumetric datasets on graphics hardware. Methods Inf. Med. 46(3), 270-274
18. Bajaj, C.L., Wu, Q., Xu, G.: Level set based volumetric anisotropic diffusion for 3D image denoising. ICES TR03-10, UTexas, Austin USA (2003)
19. Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Analysis and Machine Intelligence 12, 629-639 (1990)
20. Weickert, J.: Anisotropic Diffusion in Image Processing. B.G. Teubne, Stuttgart (1998)
21. Kindlmann, G., Whitaker, R., Tasdizen, T., Mller, T.: Curvature-based transfer functions for direct volume rendering: Methods and applications. In: Proc. IEEE Vis., pp. 513-520 (2003)
22. Sigg, C.: Representation and Rendering of Implicit Surfaces. PhD thesis, ETH Zurich (2006)
23. Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proc. IEEE Int. Conf. on Computer Vision 1998, pp. 839-846 (1998)
24. Durand, F., Dorsey, J.: Fast bilateral filtering for the display of high-dynamic-range images. ACM Trans. Graph. 21(3), 257-266 (2002)
25. Paris, S., Kornprobst, P., Tumblin, J., Durand, F.: A gentle introduction to bilateral filtering and its applications. In: SIGGRAPH Course (2007)