Adaptive Bilateral Filter for Sharpness Enhancement and Noise Removal

In this paper, we present an adaptive bilateral filter (ABF) for sharpness enhancement and noise removal. ABF sharpens an image by increasing the slope of the edges without producing overshoot or undershoot. Our new approach to slope restoration significantly differs from the previous slope restoration algorithms in that ABF does not involve detecting edge orientations or edge profiles. Compared with the bilateral filter, ABF restored images are significantly sharper. Compared with an unsharp mask (USM) based sharpening method the optimal USM (OUM), ABF restored edges are as sharp as those rendered by the OUM, but without halo. ABF also outperforms the bilateral filter and the OUM in noise removal.

[1]  Frédo Durand,et al.  A gentle introduction to bilateral filtering and its applications , 2007, SIGGRAPH Courses.

[2]  Jan P. Allebach,et al.  Optimal image scaling using pixel classification , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[3]  Danny Barash,et al.  A Fundamental Relationship between Bilateral Filtering, Adaptive Smoothing, and the Nonlinear Diffusion Equation , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Jan P. Allebach,et al.  Quantization of accumulated diffused errors in error diffusion , 2005, IEEE Transactions on Image Processing.

[5]  W. Clem Karl,et al.  3.6 – Regularization in Image Restoration and Reconstruction , 2005 .

[6]  Gonzalo R. Arce,et al.  Nonlinear Filtering for Image Analysis and Enhancement , 2009 .

[7]  Guillermo Sapiro,et al.  Robust anisotropic diffusion , 1998, IEEE Trans. Image Process..

[8]  Frédo Durand,et al.  A Fast Approximation of the Bilateral Filter Using a Signal Processing Approach , 2006, International Journal of Computer Vision.

[9]  Lucas J. van Vliet,et al.  Separable bilateral filtering for fast video preprocessing , 2005, 2005 IEEE International Conference on Multimedia and Expo.

[10]  Jeroen A. P. Tegenbosch,et al.  Improving nonlinear up-scaling by adapting to the local edge orientation , 2004, IS&T/SPIE Electronic Imaging.

[11]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[12]  Michael Elad,et al.  On the origin of the bilateral filter and ways to improve it , 2002, IEEE Trans. Image Process..

[13]  Alan C. Bovik,et al.  Theory of order statistic filters and their relationship to linear FIR filters , 1989, IEEE Trans. Acoust. Speech Signal Process..

[14]  N. Gallagher,et al.  An overview of median and stack filtering , 1992 .

[15]  Philippe Saint-Marc,et al.  Adaptive Smoothing: A General Tool for Early Vision , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[16]  Vishal Monga,et al.  Design of Tone-Dependent Color-Error Diffusion Halftoning Systems , 2007, IEEE Transactions on Image Processing.

[17]  Charles A. Bouman,et al.  AM/FM halftoning: digital halftoning through simultaneous modulation of dot size and dot density , 2004, J. Electronic Imaging.

[18]  Anil K. Jain Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[19]  Michael Elad,et al.  Retinex by Two Bilateral Filters , 2005, Scale-Space.

[20]  Jean-Michel Morel,et al.  The staircasing effect in neighborhood filters and its solution , 2006, IEEE Transactions on Image Processing.

[21]  Jiawen Chen,et al.  Real-time edge-aware image processing with the bilateral grid , 2007, SIGGRAPH 2007.

[22]  Stephen M. Smith,et al.  SUSAN—A New Approach to Low Level Image Processing , 1997, International Journal of Computer Vision.

[23]  Seungjoon Yang,et al.  Bilateral interpolation filters for image size conversion , 2005, IEEE International Conference on Image Processing 2005.

[24]  Florin Popentiu,et al.  Iterative identification and restoration of images , 1993, Comput. Graph..

[25]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[26]  Thomas S. Huang,et al.  Image restoration using order-constrained least-squares methods , 1983, ICASSP.

[27]  Frédo Durand,et al.  Non-iterative, feature-preserving mesh smoothing , 2003, ACM Trans. Graph..

[28]  A. Venetsanopoulos,et al.  Order statistics in digital image processing , 1992, Proc. IEEE.

[29]  Jan P. Allebach,et al.  Tone-dependent error diffusion , 2004, IEEE Transactions on Image Processing.

[30]  Daniel Cohen-Or,et al.  Bilateral mesh denoising , 2003 .

[31]  Charles A. Bouman,et al.  Training-Based Descreening , 2007, IEEE Transactions on Image Processing.

[32]  Alfred M. Bruckstein,et al.  Diffusions and Confusions in Signal and Image Processing , 2001, Journal of Mathematical Imaging and Vision.

[33]  K E Barner,et al.  Hybrid order statistic filter and its application to image restoration. , 2001, Applied optics.

[34]  Sergio Goma,et al.  Novel bilateral filter approach: Image noise reduction with sharpening , 2006, Electronic Imaging.

[35]  H. Hu,et al.  Classification-based hybrid filters for image processing , 2006, Electronic Imaging.

[36]  Gonzalo R. Arce,et al.  Detail-preserving ranked-order based filters for image processing , 1989, IEEE Trans. Acoust. Speech Signal Process..

[37]  Kihyun Hong,et al.  Composite video artifact removal by nonlinear bilateral filtering , 2005, Visual Communications and Image Processing.

[38]  John W. Tukey,et al.  Nonlinear (nonsuperposable) methods for smoothing data , 1974 .

[39]  Jan P. Allebach,et al.  Optimal unsharp mask for image sharpening and noise removal , 2005, J. Electronic Imaging.

[40]  Rangaraj M. Rangayyan,et al.  Enhancement of image edge sharpness and acutance , 1997, Electronic Imaging.

[41]  Yong Hoon Lee,et al.  Generalized median filtering and related nonlinear filtering techniques , 1985, IEEE Trans. Acoust. Speech Signal Process..

[42]  Zygmunt Pizlo,et al.  An investigation of perceived sharpness and sharpness metrics , 2005, IS&T/SPIE Electronic Imaging.

[43]  Hiroaki Kotera,et al.  Sharpness Improvement Adaptive to Edge Strength of Color Image , 2000, Color Imaging Conference.

[44]  Aggelos K. Katsaggelos,et al.  Iterative identification and restoration of images , 1990, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[45]  Dorin Comaniciu,et al.  A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean shift , 2004, Image Vis. Comput..

[46]  Naamen Keskes,et al.  Adaptive nonlinear filters for 2D and 3D image enhancement , 1998, Signal Process..

[47]  Jan P. Allebach,et al.  Inkjet printer model-based halftoning , 2005, IEEE Trans. Image Process..

[48]  Dorin Comaniciu,et al.  Mean Shift: A Robust Approach Toward Feature Space Analysis , 2002, IEEE Trans. Pattern Anal. Mach. Intell..

[49]  Ron Kimmel,et al.  A general framework for low level vision , 1998, IEEE Trans. Image Process..

[50]  Azriel Rosenfeld,et al.  Digital Picture Processing , 1976 .