Abstract
Various image filters for applications in the area of computer vision require the properties of the local statistics of the input image, which are always defined by the local distribution or histogram. But the huge expense of computing the distribution hampers the popularity of these filters in real-time or interactive-rate systems. In this paper, we present an efficient and practical method to estimate the local weighted distribution for the weighted median/mode filters based on the kernel density estimation with a new separable kernel defined by a weighted combinations of a series of probabilistic generative models. It reduces the large number of filtering operations in previous constant time algorithms [1, 2] to a small amount, which is also adaptive to the structure of the input image. The proposed accelerated weighted median/mode filters are effective and efficient for a variety of applications, which have comparable performance against the current state-of-the-art counterparts and cost only a fraction of their execution time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ma, Z., He, K., Wei, Y., Sun, J., Wu, E.: Constant time weighted median filtering for stereo matching and beyond. In: Proceedings of the IEEE International Conference Computer Vision (2013)
Kass, M., Solomon, J.: Smoothed local histogram filters. ACM Trans. Graph. 29, 100 (2010)
Perreault, S., Hébert, P.: Median filtering in constant time. IEEE Trans. Image Process. 16, 2389–2394 (2007)
Cline, D., White, K., Egbert, P.: Fast 8-bit median filtering based on separability. In: Proceedings of the IEEE International Conference Image Processing, vol. 5, pp. V-281–V-284 (2007)
Min, D., Lu, J., Do, M.: Depth video enhancement based on weighted mode filtering. IEEE Trans. Image Process. 21, 1176–1190 (2012)
Van de Weijer, J., Van den Boomgaard, R.: Local mode filtering. In: Proceedings of the IEEE Conference on Computer Vision Pattern Recognition, vol. 2, pp. II-428–II-433 (2001)
Parzen, E.: On estimation of a probability density function and mode. Ann. Math. Stat. 33, 1065–1076 (1962)
Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 839–846 (1998)
Barash, D., Comaniciu, D.: A common framework for nonlinear diffusion, adaptive smoothing, bilateral filtering and mean shift. Image Vis. Comput. 22, 73–81 (2004)
Kopf, J., Cohen, M.F., Lischinski, D., Uyttendaele, M.: Joint bilateral upsampling. ACM Trans. Graph. 26, 96:1–96:10 (2007)
Gastal, E.S.L., Oliveira, M.M.: Domain transform for edge-aware image and video processing. ACM Trans. Graph. 30, 69:1–69:12 (2011)
Gastal, E.S., Oliveira, M.M.: Adaptive manifolds for real-time high-dimensional filtering. ACM Trans. Graph. 31, 33 (2012)
He, K., Sun, J., Tang, X.: Guided image filtering. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010, Part I. LNCS, vol. 6311, pp. 1–14. Springer, Heidelberg (2010)
Paris, S., Durand, F.: A fast approximation of the bilateral filter using a signal processing approach. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3954, pp. 568–580. Springer, Heidelberg (2006)
Chen, J., Paris, S., Durand, F.: Real-time edge-aware image processing with the bilateral grid. ACM Trans. Graph. 26 (2007) Article 103
Adams, A., Gelfand, N., Dolson, J., Levoy, M.: Gaussian kd-trees for fast high-dimensional filtering. ACM Trans. Graph. 28, 21:1–21:12 (2009)
Adams, A., Baek, J., Davis, M.A.: Fast high-dimensional filtering using the permutohedral lattice. Comput. Graph. Forum. 29, 753–762 (2010)
Bishop, C.M., Nasrabadi, N.M.: Pattern Recognition and Machine Learning, vol. 1. Springer, New York (2006)
Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: Proceedings of the IEEE International Conference on Computer Vision, vol. 2, pp. 416–423 (2001)
Scharstein, D., Szeliski, R.: A taxonomy and evaluation of dense two-frame stereo correspondence algorithms. Int. J. Comput. Vis. 47, 7–42 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Sheng, L., Ngan, K.N., Hui, TW. (2015). Accelerating the Distribution Estimation for the Weighted Median/Mode Filters. In: Cremers, D., Reid, I., Saito, H., Yang, MH. (eds) Computer Vision -- ACCV 2014. ACCV 2014. Lecture Notes in Computer Science(), vol 9006. Springer, Cham. https://doi.org/10.1007/978-3-319-16817-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-16817-3_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16816-6
Online ISBN: 978-3-319-16817-3
eBook Packages: Computer ScienceComputer Science (R0)