AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Article Link
Collect
Submit Manuscript
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Regular Paper

Image Smoothing Based on Image Decomposition and Sparse High Frequency Gradient

School of Computer Science and Technology, Shandong University, Jinan 250101, China
Shandong Co-Innovation Center of Future Intelligent Computing, Yantai 264025, China
School of Software, Shandong University, Jinan 250101, China
Digital Media Research Institute, Shandong University of Finance and Economics, Jinan 250061, China
Show Author Information

Abstract

Image smoothing is a crucial image processing topic and has wide applications. For images with rich texture, most of the existing image smoothing methods are difficult to obtain significant texture removal performance because texture containing obvious edges and large gradient changes is easy to be preserved as the main edges. In this paper, we propose a novel framework (DSHFG) for image smoothing combined with the constraint of sparse high frequency gradient for texture images. First, we decompose the image into two components: a smooth component (constant component) and a non-smooth (high frequency) component. Second, we remove the non-smooth component containing high frequency gradient and smooth the other component combining with the constraint of sparse high frequency gradient. Experimental results demonstrate the proposed method is more competitive on efficiently texture removing than the state-of-the-art methods. What is more, our approach has a variety of applications including edge detection, detail magnification, image abstraction, and image composition.

Electronic Supplementary Material

Download File(s)
jcst-33-3-502-Highlights.pdf (566.6 KB)

References

[1]

Rudin L I, Osher S, Fatemi E. Nonlinear total variation based noise removal algorithms. Physica D: Nonlinear Phenomena, 1992, 60(1/2/3/4): 259-268.

[2]
Tomasi C, Manduchi R. Bilateral filtering for gray and color images. In Proc. the 6th IEEE Int. Conf. Computer Vision, January 1998, pp.839-846.
[3]

Farbman Z, Fattal R, Lischinski D, Szeliski R. Edge-preserving decompositions for multi-scale tone and detail manipulation. ACM Trans. Graphics, 2008, 27(3): Article No. 67.

[4]

Subr K, Soler C, Durand F. Edge-preserving multiscale image decomposition based on local extrema. ACM Trans. Graphics, 2009, 28(5): Article No. 147.

[5]

Cho S, Lee S. Fast motion deblurring. ACM Trans. Graphics, 2009, 28(5): Article No. 145.

[6]

Xu L, Lu C W, Xu Y, Jia J Y. Image smoothing via L gradient minimization. ACM Trans. Graphics, 2011, 30(6): Article No. 174.

[7]

Xu L, Yan Q, Xia Y, Jia J Y. Structure extraction from texture via relative total variation. ACM Trans. Graphics, 2012, 31(6): Article No. 139.

[8]

Li X Y, Gu Y, Hu S M, Martin R R. Mixed-domain edge-aware image manipulation. IEEE Trans. Image Processing, 2013, 22(5): 1915-1925.

[9]

He K M, Sun J, Tang X O. Guided image filtering. IEEE Trans. Pattern Analysis and Machine Intelligence, 2013, 35(6): 1397-1409.

[10]

Karacan L, Erdem E, Erdem A. Structure-preserving image smoothing via region covariances. ACM Trans. Graphics, 2013, 32(6): Article No. 176.

[11]

Min D B, Choi S, Lu J B, Ham B, Sohn K, Do M N. Fast global image smoothing based on weighted least squares. IEEE Trans. Image Processing, 2014, 23(12): 5638-5653.

[12]
Zhang Q, Shen X Y, Xu L, Jia J Y. Rolling guidance filter. In Proc. the 13th European Conf. Computer Vision, September 2014, pp.815-830.
[13]

Bao L C, Song Y B, Yang Q X, Yuan H, Wang G. Tree filtering: Efficient structure-preserving smoothing with a minimum spanning tree. IEEE Trans. Image Processing, 2014, 23(2): 555-569.

[14]

Bi S, Han X G, Yu Y Z. An L1 image transform for edge-preserving smoothing and scene-level intrinsic decomposition. ACM Trans. Graphics, 2015, 34(4): Article No. 78.

[15]

Paris S, Hasinoff S W, Kautz J. Local Laplacian filters: Edge-aware image processing with a Laplacian pyramid. Communications of the ACM, 2015, 58(3): 81-91.

[16]

Zang Y, Huang H, Zhang L. Guided adaptive image smoothing via directional anisotropic structure measurement. IEEE Trans. Visualization and Computer Graphics, 2015, 21(9): 1015-1027.

[17]

Liu Q, Zhang C M, Guo Q, Zhou Y F. A nonlocal gradient concentration method for image smoothing. Computational Visual Media, 2015, 1(3): 197-209.

[18]
Zheng S F, Song C W, Zhang H Z, Yan Z F, Zuo W M. Learning-based weighted total variation for structure preserving texture removal. In Proc. Chinese Conf. Pattern Recognition, November 2016, pp.147-160.
[19]
Gu S H, Zuo W M, Xie Q, Meng D Y, Feng X C, Zhang L. Convolutional sparse coding for image super-resolution. In Proc. IEEE Int. Conf. Computer Vision, December 2015, pp.1823-1831.
[20]
Zhang M L, Desrosiers C. Image completion with global structure and weighted nuclear norm regularization. In Proc. IEEE Int. Joint Conf. Neural Networks, May 2017, pp.4187-4193.
[21]

Lu S P, Dauphin G, Lafruit G, Munteanu A. Color retargeting: Interactive time-varying color image composition from time-lapse sequences. Computational Visual Media, 2015, 1(4): 321-330.

[22]

Wu L Q, Liu Y P, Brekhna, Liu N, Zhang C M. High-resolution images based on directional fusion of gradient. Computational Visual Media, 2016, 2(1): 31-43.

[23]

Li Q H, Fang Y M, Xu J T. A novel spatial pooling strategy for image quality assessment. Journal of Computer Science and Technology, 2016, 31(2): 225-234.

[24]

Xie H, Tong R. Patch-based variational image approximation. Science China Information Sciences, 2017, 60(3): 032104.

[25]

Du H W, Zhang Y F, Bao F X, Wang P, Zhang C M. A texture feature preserving image interpolation algorithm via gradient constraint. Communications in Information and Systems, 2016, 16(4): 203-227.

[26]
Meyer Y. Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures. American Mathematical Society, 2001.
[27]
Yin W T, Goldfarb D, Osher S. Image cartoon-texture decomposition and feature selection using the total variation regularized L1 functional. In Proc. Variational Geometric and Level Set Methods in Computer Vision, October 2005, pp.73-84.
[28]

Aujol J F, Gilboa G, Chan T, Osher S. Structure-texture image decomposition-modeling, algorithms, and parameter selection. International Journal of Computer Vision, 2006, 67(1): 111-136.

[29]

Wang Y L, Yang J T, Yin W T, Zhang Y. A new alternating minimization algorithm for total variation image reconstruction. SIAM Journal on Imaging Sciences, 2008, 1(3): 248-272.

[30]

Zhang S H, Li X Y, Hu S M, Martin R R. Online video stream abstraction and stylization. IEEE Trans. Multimedia, 2011, 13(6): 1286-1294.

[31]

Pérez P, Gangnet M, Blake A. Poisson image editing. ACM Trans. Graphics, 2003, 22(3): 313-318.

Journal of Computer Science and Technology
Pages 502-510
Cite this article:
Ma G-H, Zhang M-L, Li X-M, et al. Image Smoothing Based on Image Decomposition and Sparse High Frequency Gradient. Journal of Computer Science and Technology, 2018, 33(3): 502-510. https://doi.org/10.1007/s11390-018-1834-3

408

Views

14

Crossref

N/A

Web of Science

16

Scopus

5

CSCD

Altmetrics

Received: 05 January 2018
Accepted: 30 March 2018
Published: 11 May 2018
©2018 LLC & Science Press, China
Return