Non-linear structure-aware image sharpening with difference of smoothing operators

Frontiers in ICT

Volumn 2, Issue OCT, 2015, Pages

  Kheradmand, Amin ^a   Milanfar, Peyman ^a  

^a University of California Santa Cruz   (United States)

Author keywords

Data adaptive filtering; DoG; Laplacian matrix; Sharpening; Similarity matrix

Indexed keywords

EID: 85043566940     PISSN: None     EISSN: 2297198X     Source Type: Journal    
DOI: 10.3389/fict.2015.00022     Document Type: Article

References (59)

1. Alvarez, L., and Mazorra, L. (1994). Signal and image restoration using shock filters and anisotropic diffusion. SIAM J. Numer. Anal. 31, 590-605. doi: 10.1137/0731032
2. Arici, T., Dikbas, S., and Altunbasak, Y. (2009). A histogram modification framework and its application for image contrast enhancement. IEEE Trans. Image Process. 18, 1921-1935. doi:10.1109/TIP.2009.2021548
3. Aubry, M., Paris, S., Hasinoff, S. W., Kautz, J., and Durand, F. (2014). Fast local Laplacian filters: theory and applications. ACM Trans. Graph. 33, 167. doi:10.1145/2629645
4. Bilcu, R. C., and Vehvilainen, M. (2008). "Constrained unsharp masking for image enhancement," in Image and Signal Processing, eds E. Abderrahim, L. Olivier, N. Fathallah and M. Driss (Heidelberg: Springer), 10-19
5. Boreskov, A., and Shikin, E. (2013). Computer Graphics: From Pixels to Programmable Graphics Hardware. CRC Press
6. Bougleux, S., Elmoataz, A., and Melkemi, M. (2009). Local and nonlocal discrete regularization on weighted graphs for image and mesh processing. Int. J. Comput. Vis. 84, 220-236. doi:10.1007/s11263-008-0159-z
7. Buades, A., Coll, B., and Morel, J. M. (2005). A review of image denoising algorithms, with a new one. Multiscale Model. Simul. 4, 490-530. doi:10.1137/040616024
8. Chang, J., Kang, H., and Kang, M. G. (2013). Correction of axial and lateral chromatic aberration with false color filtering. IEEE Trans. Image Process. 22, 1186-1198. doi:10.1109/TIP.2012.2228489
9. Choudhury, A., and Medioni, G. (2009). "Perceptually motivated automatic color contrast enhancement," in Computer Vision Workshops (ICCV Workshops), 2009 IEEE 12th International Conference on, (Kyoto: IEEE), 1893-1900
10. Choudhury, A., and Medioni, G. (2011). "Perceptually motivated automatic sharpness enhancement using hierarchy of non-local means," in Computer Vision Workshops (ICCV Workshops), 2011 IEEE International Conference on, (Barcelona: IEEE), 730-737
11. Chung, F. R. (1997). Spectral Graph Theory, Vol. 92. Providence, RI: American Mathematical Society
12. Darbon, J., Cunha, A., Chan, T., Osher, S., and Jensen, G. (2008). "Fast nonlocal filtering applied to electron cryomicroscopy," in Biomedical Imaging: From Nano to Macro, 2008. ISBI 2008. 5th IEEE International Symposium on, (Paris: IEEE), 1331-1334
13. Deng, G. (2011). A generalized unsharp masking algorithm. IEEE Trans. Image Process. 20, 1249-1261. doi:10.1109/TIP.2010.2092441
14. Farbman, Z., Fattal, R., and Lischinski, D. (2010). "Diffusion maps for edge-aware image editing," in ACM Transactions on Graphics (TOG), Vol. 29 (New York, NY: ACM), 145
15. Farbman, Z., Fattal, R., Lischinski, D., and Szeliski, R. (2008). "Edge-preserving decompositions for multi-scale tone and detail manipulation," in ACM Transactions on Graphics (TOG), Vol. 27 (New York, NY: ACM), 67
16. Ferzli, R., and Karam, L. (2009). A no-reference objective image sharpness metric based on the notion of just noticeable blur (JNB). IEEE Trans. Image Process. 18, 717-728. doi:10.1109/TIP.2008.2011760
17. Gilboa, G., and Osher, S. (2007). Nonlocal linear image regularization and supervised segmentation. Multiscale Model. Simul. 6, 595-630. doi:10.1137/060669358
18. Gilboa, G., and Osher, S. (2008). Nonlocal operators with applications to image processing. Multiscale Model. Simul. 7, 1005-1028. doi:10.1137/070698592
19. Gilboa, G., Sochen, N., and Zeevi, Y. (2004). Image enhancement and denoising by complex diffusion processes. IEEE Trans. Pattern Anal. Mach. Intell. 26, 1020-1036. doi:10.1109/TPAMI.2004.47
20. Gilboa, G., Sochen, N., and Zeevi, Y. Y. (2002). Forward-and-backward diffusion processes for adaptive image enhancement and denoising. IEEE Trans. Image Process. 11, 689-703. doi:10.1109/TIP.2002.800883
21. Hansen, P. C., Nagy, J. G., and O'Leary, D. P. (2006). Deblurring Images: Matrices, Spectra, and Filtering, 1 Edn. Philadelphia: SIAM
22. He, K., Sun, J., and Tang, X. (2013). Guided image filtering. IEEE Trans. Pattern Anal. Mach. Intell. 35, 1397-1409. doi:10.1109/TPAMI.2012.213
23. Kaiser, J., and Hamming, R. (1977). Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter. IEEE Trans. Acoust. 25, 415-422. doi:10.1109/TASSP.1977.1162980
24. Kheradmand, A., and Milanfar, P. (2014). A general framework for regularized, similarity-based image restoration. IEEE Trans. Image Process. 23, 5136-5151. doi:10.1109/TIP.2014.2362059
25. Kim, S. H., and Allebach, J. P. (2005). Optimal unsharp mask for image sharpening and noise removal. J. Electron. Imaging 14, 023005. doi:10.1117/1.1924510
26. Knight, P. A., and Ruiz, D. (2013). A fast algorithm for matrix balancing. IMA J. Numer. Anal. 33, 1029-1047. doi:10.1093/imanum/drs019
27. Kornprobst, P., and Tumblin, J. (2009). Bilateral Filtering: Theory and Applications. Boston-Delft: Now Publishers Inc
28. Li, Z., Zheng, J., Zhu, Z., Yao, W., and Wu, S. (2015). Weighted guided image filtering. IEEE Trans. Image Process. 24, 120-129. doi:10.1109/TIP.2014.2371234
29. Liu, X., Cheung, G., and Wu, X. (2015). Joint denoising and contrast enhancement of images using graph Laplacian operator. Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (Brisbane: IEEE), 2274-2278. doi:10.1109/ICASSP.2015.7178376
30. Marr, D., and Hildreth, E. (1980). Theory of edge detection. Proc. R. Soc. Lond. B Biol. Sci. 207, 187-217. doi:10.1098/rspb.1980.0020
31. Meyer, F. G., and Shen, X. (2014). Perturbation of the eigenvectors of the graph Laplacian: application to image denoising. Appl. Comput. Harmon. Anal. 36, 326-334. doi:10.1016/j.acha.2013.06.004
32. Milanfar, P. (2013a). Symmetrizing smoothing filters. SIAM J. Imaging Sci. 6, 263-284. doi:10.1137/120875843
33. Milanfar, P. (2013b). A tour of modern image filtering: New insights and methods, both practical and theoretical. IEEE Signal Process. Mag. 30, 106-128. doi:10.1109/MSP.2011.2179329
34. Min, D., Choi, S., Lu, J., Ham, B., Sohn, K., and Do, M. (2014). Fast global image smoothing based on weighted least squares. IEEE Trans. Image Process. 23, 5638-5653. doi:10.1109/TIP.2014.2366600
35. Osher, S., and Rudin, L. I. (1990). Feature-oriented image enhancement using shock filters. SIAM J. Numer. Anal. 27, 919-940. doi:10.1137/0727053
36. Panetta, K., Zhou, Y., Agaian, S., and Jia, H. (2011). Nonlinear unsharp masking for mammogram enhancement. IEEE Trans. Inf. Technol. Biomed. 15, 918-928. doi:10.1109/TITB.2011.2164259
37. Paris, S., Hasinoff, S. W., and Kautz, J. (2011). Local Laplacian Filters: Edge-Aware Image Processing With a Laplacian Pyramid. New York, NY: ACM, 68
38. Park, S. H., Kim, H. S., Lansel, S., Parmar, M., and Wandell, B. (2009). "A case for denoising before demosaicking color filter array data," in Signals, Systems and Computers, 2009 Conference Record of the Forty-Third Asilomar Conference on, (Pacific Grove: IEEE), 860-864
39. Perona, P., and Malik, J. (1990). Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639. doi:10.1109/34.56205
40. Pham, C. C., Ha, S. V. U., and Jeon, J. W. (2012). "Adaptive guided image filtering for sharpness enhancement and noise reduction," in Advances in Image and Video Technology (Heidelberg: Springer), 323-334
41. Pizer, S. M., Amburn, E. P., Austin, J. D., Cromartie, R., Geselowitz, A., Greer, T., et al. (1987). Adaptive histogram equalization and its variations. Comput. Vision Graph. Image Process. 39, 355-368. doi:10.1016/S0734-189X(87)80186-X
42. Polesel, A., Ramponi, G., and Mathews, V. (2000). Image enhancement via adaptive unsharp masking. IEEE Trans. Image Process. 9, 505-510. doi:10.1109/83.826787
43. Rabin, J., Delon, J., and Gousseau, Y. (2011). Removing artefacts from color and contrast modifications. IEEE Trans. Image Process. 20, 3073-3085. doi:10.1109/TIP.2011.2142318
44. Russo, F. (2007). An image-enhancement system based on noise estimation. IEEE Trans. Instrum. Meas. 56, 1435-1442. doi:10.1109/TIM.2007.899887
45. Seo, H.-J., and Milanfar, P. (2012). Robust flash denoising/deblurring by iterative guided filtering. EURASIP J. Adv. Signal Process. 2012, 1-19. doi:10.1186/1687-6180-2012-3
46. Shuman, D., Narang, S., Frossard, P., Ortega, A., and Vandergheynst, P. (2013). The emerging field of signal processing on graphs: extending high-dimensional data analysis to networks and other irregular domains. IEEE Signal Process. Mag. 30, 83-98. doi:10.1109/MSP.2012.2235192
47. Sinkhorn, R., and Knopp, P. (1967). Concerning nonnegative matrices and doubly stochastic matrices. Pacific J. Math. 21, 343-348. doi:10.2140/pjm.1967.21.343
48. Szlam, A. D., Maggioni, M., and Coifman, R. R. (2008). Regularization on graphs with function-adapted diffusion processes. J. Mach. Learn. Res. 9, 1711-1739. doi:10.1145/1390681.1442788
49. Takeda, H., Farsiu, S., and Milanfar, P. (2007). Kernel regression for image processing and reconstruction. IEEE Trans. Image Process. 16, 349-366. doi:10.1109/TIP.2006.888330
50. Talebi, H., and Milanfar, P. (2014). Nonlocal image editing. IEEE Trans. Image Process. 23, 4460-4473. doi:10.1109/TIP.2014.2348870
51. ter Haar Romeny, B. M. (1994). Geometry-Driven Diffusion in Computer Vision. Norwell, MA: Kluwer Academic Publishers
52. Tomasi, C., and Manduchi, R. (1998). "Bilateral filtering for gray and color images," in Computer Vision, 1998. Sixth International Conference on, (Bombay: IEEE), 839-846
53. Weickert, J. (1998). Anisotropic Diffusion in Image Processing. Stuttgart: Teubner-Verlag
54. Winnemöller, H., Kyprianidis, J. E., and Olsen, S. C. (2012). XDoG: an extended difference-of-Gaussians compendium including advanced image stylization. Comput. Graph. 36, 740-753. doi:10.1016/j.cag.2012.03.004
55. Winnemöller, H., Olsen, S. C., and Gooch, B. (2006). "Real-time video abstraction," in ACM Transactions on Graphics (TOG), Vol. 25 (New York, NY: ACM), 1221-1226
56. Wu, X. (2011). A linear programming approach for optimal contrast-tone mapping. IEEE Trans. Image Process. 20, 1262-1272. doi:10.1109/TIP.2010.2092438
57. Zhang, B., and Allebach, J. (2008). Adaptive bilateral filter for sharpness enhancement and noise removal. IEEE Trans. Image Process. 17, 664-678. doi:10.1109/TIP.2008.919949
58. Zhu, X., and Milanfar, P. (2009). "A no-reference sharpness metric sensitive to blur and noise," in Quality of Multimedia Experience, 2009. QoMEx 2009. International Workshop on, (San Diego, CA: IEEE), 64-69
59. Zhu, X., and Milanfar, P. (2011). "Restoration for weakly blurred and strongly noisy images," in Applications of Computer Vision (WACV), 2011 IEEE Workshop on, (Kona, HI: IEEE), 103-109