Letter:
Bilateral Half-Box Image Filtering
Miku Fukatsu*,** , Shin Yoshizawa**, , Hiroshi Takemura* , and Hideo Yokota**
*Department of Mechanical and Aerospace Engineering, Graduate School of Science and Technology, Tokyo University of Science
2641 Yamazaki, Noda, Chiba 278-8510, Japan
**Image Processing Research Team, Center for Advanced Photonics, RIKEN
Wako, Japan
Corresponding author
Because edge-aware filtering has been widely used for image-based automation technologies, developing a practical, fast algorithm for its use is important. This letter proposes a simple and fast computational method for edge-aware image filtering based on bilateral half-box regions. Our filter consists of a weighted average of only eight color sums within each half-box region adjacent to a given pixel, where the tonal weights are similar to those obtained with bilateral filtering. The eight sums are efficiently obtained by a single fast box filter using the relative coordinate relationship between the pixel and each half-box center. We examined the performance of our filter based on comparisons with conventional methods.
- [1] M. D. Kucarov, B. Molnár, and M. Kozlovszky, “Robot instead of laboratory technicians – Slide holder detection and 3D position determination by robotic arm,” IEEE INES, pp. 97-102, 2022. https://doi.org/10.1109/INES56734.2022.9922607
- [2] H. Tian, T. Wang, Y. Liu, X. Qiao, and Y. Li, “Computer vision technology in agricultural automation –A review,” Information Processing in Agriculture, Vol.7, No.1, pp. 1-19, 2020. https://doi.org/10.1016/j.inpa.2019.09.006
- [3] A. Galdelli, M. D’Imperio, G. Marchello, A. Mancini, M. Scaccia, M. Sasso, E. Frontoni, and F. Cannella, “A novel remote visual inspection system for bridge predictive maintenance,” Remote Sensing, Vol.14, No.9, Article No.2248, 2022. https://doi.org/10.3390/rs14092248
- [4] C. Tomasi and R. Manduchi, “Bilateral filtering for gray and color images,” IEEE ICCV, pp. 839-846, 1998. https://doi.org/10.1109/ICCV.1998.710815
- [5] S. Paris, P. Kornprobst, J. Tumblin, and F. Durand, “A gentle introduction to bilateral filtering and its applications,” ACM SIGGRAPH Courses, 2007. https://doi.org/10.1145/1281500.1281602
- [6] S. Paris and F. Durand, “A fast approximation of the bilateral filter using a signal processing approach,” IJCV, Vol.81, pp. 24-52, 2009. https://doi.org/10.1007/s11263-007-0110-8
- [7] F. Porikli, “Constant time O (1) bilateral filtering,” IEEE CVPR, pp. 1-8, 2008. https://doi.org/10.1109/CVPR.2008.4587843
- [8] A. Adams, J. Baek, and M. Davis, “Fast high-dimensional filtering using the permutohedral lattice,” CGF, Vol.29, No.2, pp. 753-762, 2010. https://doi.org/10.1111/j.1467-8659.2009.01645.x
- [9] I. Gijbels, A. Lambert, and P. Qiu, “Edge-preserving image denoising and estimation of discontinuous surfaces,” IEEE TPAMI, Vol.28, No.7, pp. 1075-1087, 2006. https://doi.org/10.1109/TPAMI.2006.140
- [10] H. Yin, Y. Gong, and G. Qiu, “Side window filtering,” IEEE CVPR, pp. 8758-8766, 2019.
- [11] B. Magnier, “An objective evaluation of edge detection methods based on oriented half kernels,” A. Mansouri, A. El Moataz, F. Nouboud, and D. Mammass (Eds.), “Image and Signal Processing,” Vol.10884, pp. 80-89, Springer International Publishing, 2018. https://doi.org/10.1007/978-3-319-94211-7_10
- [12] Y. Gong, “One-sided box filter for edge preserving image smoothing,” arXiv preprint, arXiv:2108.05021, 2021. https://doi.org/10.48550/arXiv.2108.05021
- [13] M. Fukatsu, S. Yoshizawa, H. Takemura, and H. Yokota, “Fast bilateral image filtering via half-box regions,” JSPE Autumn Conf., 2023 (in Japanese).
- [14] E. Dougherty, “Digital image processing methods,” CRC Press, 1994.
- [15] S. Mitsunari, “Fast approximate function of exponential function exp and log,” 2012. https://github.com/herumi/fmath [Accessed July 1, 2023]
- [16] Z. Wang, A. Bovik, H. Sheikh, and E. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE TIP, Vol.13, No.4, pp. 600-612, 2004. https://doi.org/10.1109/TIP.2003.819861
- [17] S. Yoshizawa and H. Yokota, “Fast and faithful scale-aware image filters,” TVC, Vol.37, No.12, pp. 3051-3062, 2021. https://doi.org/10.1007/s00371-021-02249-5
- [18] K. He, J. Sun, and X. Tang, “Guided image filtering,” IEEE TPAMI, Vol.35, No.6, pp. 1397-1409, 2013. https://doi.org/10.1109/TPAMI.2012.213
This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.