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Published in: Neural Computing and Applications 9/2019

17-01-2019 | Original Article

A fast bilateral filtering algorithm based on rising cosine function

Authors: Jie Guo, Changhai Chen, Shoubing Xiang, Yang Ou, Bailin Li

Published in: Neural Computing and Applications | Issue 9/2019

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Abstract

In order to speed up the bilateral filtering algorithm, a fast bilateral filtering algorithm based on raised cosine with compressibility factor (BRCF) is proposed. The BRCF uses a raised cosine function with a compression coefficient to replace Gaussian function as the range kernel function, and uses a limited number of linear convolution calculations to achieve bilateral filtering. Then, the improved BRCF (IBRCF) with a compression factor is proposed to accelerate the convergence rate of the raised cosine function. Compared to the published raised cosine algorithm, Taylor polynomial algorithm, and Gaussian polynomial algorithm, the computer simulation results show that the proposed IBRCF has a faster convergence rate with almost the same peak signal-to-noise ratio. After filtered seven images by various algorithms, the running time of the new IBRCF algorithm was confirmed to be less than 1/5 of Gaussian polynomial algorithm, while Gaussian polynomial algorithm was faster than the published raised cosine algorithm and Taylor polynomial algorithm. The mathematical proofs and algorithm flowcharts of the IBRCF algorithm are described in this paper in detail.

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Appendix
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Literature
1.
go back to reference Tomasi C, Manduchi R (1998) Bilateral filtering for gray and color images. In: IEEE international conference on computer vision, pp 839–846 Tomasi C, Manduchi R (1998) Bilateral filtering for gray and color images. In: IEEE international conference on computer vision, pp 839–846
2.
go back to reference Biradar N, Dewal ML, Rohit MK, Jindal I (2016) Echocardiographic image denoising using extreme total variation bilateral filter. Opt Int J Light Electron Opt 127(1):30–38CrossRef Biradar N, Dewal ML, Rohit MK, Jindal I (2016) Echocardiographic image denoising using extreme total variation bilateral filter. Opt Int J Light Electron Opt 127(1):30–38CrossRef
3.
go back to reference Zhang M, Gunturk BK (2008) Multiresolution bilateral filtering for image denoising. IEEE Trans Image Process 17(12):2324–2333MathSciNetCrossRef Zhang M, Gunturk BK (2008) Multiresolution bilateral filtering for image denoising. IEEE Trans Image Process 17(12):2324–2333MathSciNetCrossRef
4.
go back to reference Liu N, Chen X (2006) Infrared image detail enhancement approach based on improved joint bilateral filter. Infrared Phys Technol 77:405–413CrossRef Liu N, Chen X (2006) Infrared image detail enhancement approach based on improved joint bilateral filter. Infrared Phys Technol 77:405–413CrossRef
5.
go back to reference Bae S, Paris S (2006) Two-scale tone management for photographic look. ACM Trans Graph 25:637–645CrossRef Bae S, Paris S (2006) Two-scale tone management for photographic look. ACM Trans Graph 25:637–645CrossRef
6.
go back to reference Tripathi A.K, Mukhopadhyay S (2012) Single image fog removal using bilateral filter. In: IEEE international conference on signal processing, computing and control, pp 1–6 Tripathi A.K, Mukhopadhyay S (2012) Single image fog removal using bilateral filter. In: IEEE international conference on signal processing, computing and control, pp 1–6
7.
go back to reference Zhang M, Gunturk B.K (2009) Compression artifact reduction with adaptive bilateral filtering. In: Visual communications and image processing. International Society for Optics and Photonics, pp 499–504 Zhang M, Gunturk B.K (2009) Compression artifact reduction with adaptive bilateral filtering. In: Visual communications and image processing. International Society for Optics and Photonics, pp 499–504
8.
go back to reference Shao HC, Hwang WL (2016) Light field upsampling by joint bilateral filtering on epipolar plane images. In: Asia-Pacific signal and information processing association annual summit and conference, pp 1–5 Shao HC, Hwang WL (2016) Light field upsampling by joint bilateral filtering on epipolar plane images. In: Asia-Pacific signal and information processing association annual summit and conference, pp 1–5
9.
go back to reference Gunturk BK (2011) Fast bilateral filter with arbitrary range and domain kernels. IEEE Trans Image Process 20(9):2690–2696MathSciNetCrossRef Gunturk BK (2011) Fast bilateral filter with arbitrary range and domain kernels. IEEE Trans Image Process 20(9):2690–2696MathSciNetCrossRef
10.
go back to reference Al-Ismaeil K, Aouada D, Ottersten B (2012) Bilateral filter evaluation based on exponential kernels. In: IEEE international conference on pattern recognition, pp 258–261 Al-Ismaeil K, Aouada D, Ottersten B (2012) Bilateral filter evaluation based on exponential kernels. In: IEEE international conference on pattern recognition, pp 258–261
11.
go back to reference Yang Q (2014) Hardware-efficient bilateral filtering for stereo matching. IEEE Trans Pattern Anal Mach Intell 36(5):1026–1032CrossRef Yang Q (2014) Hardware-efficient bilateral filtering for stereo matching. IEEE Trans Pattern Anal Mach Intell 36(5):1026–1032CrossRef
12.
go back to reference Porikli F (2008) Constant time O(1) bilateral filtering. In: IEEE conference on computer vision and pattern recognition, pp 1–8 Porikli F (2008) Constant time O(1) bilateral filtering. In: IEEE conference on computer vision and pattern recognition, pp 1–8
13.
go back to reference Yang Q, Tan KH, Ahuja N (2009) Real-time O(1) bilateral filtering. In: IEEE conference on computer vision and pattern recognition, pp 557–564 Yang Q, Tan KH, Ahuja N (2009) Real-time O(1) bilateral filtering. In: IEEE conference on computer vision and pattern recognition, pp 557–564
14.
go back to reference Paris S, Durand F (2009) A fast approximation of the bilateral filter using a signal processing approach. Int J Comput Vis 81(1):24–52CrossRef Paris S, Durand F (2009) A fast approximation of the bilateral filter using a signal processing approach. Int J Comput Vis 81(1):24–52CrossRef
15.
16.
go back to reference Chaudhury KN (2011) Constant-time filtering using shiftable kernels. IEEE Signal Process Lett 18(11):651–654CrossRef Chaudhury KN (2011) Constant-time filtering using shiftable kernels. IEEE Signal Process Lett 18(11):651–654CrossRef
17.
go back to reference Chaudhury KN, Sage D, Unser M (2011) Fast O(1) bilateral filtering using trigonometric range kernels. IEEE Trans Image Process 20(12):3376–3382MathSciNetCrossRef Chaudhury KN, Sage D, Unser M (2011) Fast O(1) bilateral filtering using trigonometric range kernels. IEEE Trans Image Process 20(12):3376–3382MathSciNetCrossRef
18.
go back to reference Chaudhury KN (2013) Acceleration of the shiftable O(1) algorithm for bilateral filtering and nonlocal means. IEEE Trans Image Process 22(4):1291–1300MathSciNetCrossRef Chaudhury KN (2013) Acceleration of the shiftable O(1) algorithm for bilateral filtering and nonlocal means. IEEE Trans Image Process 22(4):1291–1300MathSciNetCrossRef
19.
go back to reference Chaudhury KN, Dabhade SD (2016) Fast and provably accurate bilateral filtering. IEEE Trans Image Process 25(6):2519–2528MathSciNetCrossRef Chaudhury KN, Dabhade SD (2016) Fast and provably accurate bilateral filtering. IEEE Trans Image Process 25(6):2519–2528MathSciNetCrossRef
20.
go back to reference Yang Q, Ahuja N, Tan KH (2015) Constant time median and bilateral filtering. Int J Comput Vis 112(3):307–318CrossRef Yang Q, Ahuja N, Tan KH (2015) Constant time median and bilateral filtering. Int J Comput Vis 112(3):307–318CrossRef
21.
go back to reference Muhammad N, Bibi N, Jahangir A et al (2018) Image denoising with norm weighted fusion estimators. Pattern Anal Appl 21(4):1013–1022MathSciNetCrossRef Muhammad N, Bibi N, Jahangir A et al (2018) Image denoising with norm weighted fusion estimators. Pattern Anal Appl 21(4):1013–1022MathSciNetCrossRef
22.
go back to reference Muhammad N, Bibi N, Wahab A et al (2018) Image de-noising with subband replacement and fusion process using Bayes estimators. Comput Electr Eng 70:413–427CrossRef Muhammad N, Bibi N, Wahab A et al (2018) Image de-noising with subband replacement and fusion process using Bayes estimators. Comput Electr Eng 70:413–427CrossRef
23.
go back to reference Muhammad N, Bibi N, Qasim I et al (2018) Digital watermarking using Hall property image decomposition method. Pattern Anal Appl 21(4):997–1012MathSciNetCrossRef Muhammad N, Bibi N, Qasim I et al (2018) Digital watermarking using Hall property image decomposition method. Pattern Anal Appl 21(4):997–1012MathSciNetCrossRef
24.
go back to reference Muhammad N, Bibi N (2015) Digital image watermarking using partial pivoting lower and upper triangular decomposition into the wavelet domain. IET Image Proc 9(9):795–803CrossRef Muhammad N, Bibi N (2015) Digital image watermarking using partial pivoting lower and upper triangular decomposition into the wavelet domain. IET Image Proc 9(9):795–803CrossRef
25.
go back to reference Yao L, Wu Y, Li M et al (2018) Design of three-dimensional filtering balun with inherent complete ground and enhanced stopband rejection. Electron Lett 54(6):361–362CrossRef Yao L, Wu Y, Li M et al (2018) Design of three-dimensional filtering balun with inherent complete ground and enhanced stopband rejection. Electron Lett 54(6):361–362CrossRef
Metadata
Title
A fast bilateral filtering algorithm based on rising cosine function
Authors
Jie Guo
Changhai Chen
Shoubing Xiang
Yang Ou
Bailin Li
Publication date
17-01-2019
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 9/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-04001-y

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