Fast Bilateral Filter With Arbitrary Range and Domain Kernels

• Published in: IEEE transactions on image processing Vol. 20; no. 9; pp. 2690 - 2696
• Main Author: Gunturk, B. K.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Approximation; Approximation methods; Complexity; Computation; Detection, estimation, filtering, equalization, prediction; Exact sciences and technology; Histograms; Image enhancement; Image processing; Information, signal and communications theory; Kernel; Kernels; Mathematical analysis; nonlinear filtering; Optimization; Pixel; PSNR; Quantization; Signal and communications theory; Signal processing; Signal, noise; Telecommunications and information theory; Image quality; Histogram; Image processing; Optimal approximation; nonlinear filtering; Computational complexity; Image enhancement; Implementation; Non linear filtering; Fast filter; Kernel method
• ISSN: 1057-7149; 1941-0042
• DOI: 10.1109/TIP.2011.2126585

In this paper, we present a fast implementation of the bilateral filter with arbitrary range and domain kernels. It is based on the histogram-based fast bilateral filter approximation that uses uniform box as the domain kernel. Instead of using a single box kernel, multiple box kernels are used and optimally combined to approximate an arbitrary domain kernel. The method achieves better approximation of the bilateral filter compared to the single box kernel version with little increase in computational complexity. We also derive the optimal kernel size when a single box kernel is used.