Result Of STD
We compared our method with some existing methods, included the total variation L1 (TV-L1), weight least square (WLS), L0 smoothing (L0), relative total variation (RTV), rolling guided filtering (RGF), structure gradient and texture decorrelating regularization (SGTD), scale-aware structure-preserving texture filtering (STF), joint convolutional analysis and synthesis sparse representation (JCAS), image smoothing via unsupervised learning (IUL), side window filtering (SWF).
 W. Yin, D. Goldfarb, and S. Osher, “Image cartoon-texture decomposition and feature selection using the total variation regularized functional,” Lecture Notes Comp. Sci., vol. 3752, pp. 73-84, 2005.
 Z. Farbman, R. Fattal, D. Lischinski, and R. Szeliski, “Edge-preserving decompositions for multi-scale tone and detail manipulation,” ACM Trans. Graph., vol. 27, no. 3, pp. 67:1-67:10, 2008.
 L. Xu, C. Lu, Y. Xu, and J. Jia, “Image smoothing via L0 gradient minimization,” ACM Trans. Graph., vol. 30, no. 6, pp. 174:1-174:11, 2011.
 L. Xu, Q. Yan, Y. Xia, and J. Jia, “Structure extraction from texture via relative total variation,” ACM Trans. Graph., vol. 31, no. 6, pp. 139:1- 139:10, 2012.
 Q. Zhang, X. Shen, L. Xu, and J. Jia, “Rolling guidance filter,” in Proc. Eur. Conf. Comput. Vis., 2014, pp. 815-830.
 Q. Liu, J. Liu, P. Dong and D. Liang, “SGTD: Structure Gradient and Texture Decorrelating Regularization for Image Decomposition,” 2013 IEEE International Conference on Computer Vision, Sydney, NSW, 2013, pp. 1081-1088.
 J. Jeon, H. Lee, H. Kang, S. Lee, “Scale-aware Structure-Preserving Texture Filtering”, Computer Graphics Forum (special issue on Pacific Graphics 2016), Vol. 35, No. 7, October 2016. Doi: 10.1111/cgf.13005
 S. Gu, D. Meng, W. Zuo, and L. Zhang, “Joint convolutional analysis and synthesis sparse representation for single image layer separation,” in Proc. IEEE Int. Conf. Comput. Vis., 2017, pp. 1717-1725
 Q. Fan, J. Yang, D. Wipe, B. Chen, and X. Tong, “Image smoothing via unsupervised learning,” ACM Trans. Graph., vol. 37, no. 6, pp. 259:1- 259:14, 2018
 H. Yin, Y. Gong, and G. Qiu, “Side window filtering,” to appear in IEEE Conf. Comput. Vis. Pattern Recog., 2019
The result images of STD could be downloaded from following links.
Panbaidu: Result_of_STD 提取码：sed8
Fei Zhou: firstname.lastname@example.org
Qun Chen: email@example.com
Results from different combinations of functional spaces
Results of texture removal