Abstract
To address the edge structure preservation problem in sparse representation image denoising, a Laplacian of B-spline (LOBS) edge detection operator was brought out, which solves the problem of singleness of existing edge-detection operators under noise environment and lack of robustness to noise to some extent. Based on LOBS operator, a novel sparse-based edge preservation image denoising method (ESRIDM) was proposed. It determines edge region by computing gradient with LOBS operator. The non-edge region was denoised normally, while noise in edge region can be filtered by setting appropriate threshold. Simulation experiment compared with Laplacian-of-Gaussian (LOG) operator and Canny operator shows that the LOBS edge-detection operator has better robustness and lost less edge. Denoising experiments on general images and video monitoring images show that this novel method can achieve better denoising effect in subjective vision.
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References
Aharon M, Elad M, Bruckstein (2006) An algorithm for designing over complete dictionaries for sparse representation. IEEE Trans Signal Process 54(11):12–16
Aharon M, Elad M, Bruckstein A (2006) K-SVD: an algorithm for designing overcomplete dictionaries for sparse representation. IEEE Trans Signal Process 54(11):4311–4322
Bioucas-Dias JM, Plaza A, Dobigeon N, Parente M, Qian Du, Gader P, Chanussot J (2012) Hyperspectral unmixing overview: geometrical, statistical, and sparse regression-based approaches. IEEE J Sel Top Appl Earth Obs Remote Sens 5(2):354–379
Chen BJ, Liu QS, Sun XM, Li X (2014) Removing Gaussian noise for color images by quaternion representation and optimization of weights in non-local means filter. IET Image Process 8(10):591–600
Donoho DL, Tsaig Y, Drori I, Starck JL (2012) Sparse solution of underdetermined systems of linear equations by Stagewise orthogonal matching pursuit. IEEE Trans Inf Theory 58(2):l094–l1121
Elad M, Bruckstein AM (2002) A generalized uncertainty principle and sparse representation in pairs of bases. IEEE Trans Inf Theory 48(9):2558–2567
Hong SW, Bao P (2000) Hybrid image compression model based on subband coding and edge-preserving regularization. IEE Proc Vis Image Sig Process 147(1):16–22
Jiang LX, Zhou WJ, Wang Y (2010) Study on improved algorithm for image edge detection. Proceedings of the 2nd International Conference on Computer and Automation Engineering 4:476–479
Li F, Fan JS (2009) Salt and pepper noise removal by adaptive median filter and minimal surface inpainting, Proceedings of 2nd International Congress on Image and Signal Processing, CISP ’09. 2nd International Congress. doi:10.1109/CISP.2009.5303579
Liu S, Cheng X, Fu W et al (2014) Numeric characteristics of generalized M-set with its asymptote [J]. Appl Math Comput 243:767–774
Liu X, Yu FF, Sun LG (2014) Image edge detection based on contourlet transform combined with the model of anisotropic receptive fields. Proceedings of Fifth International Conference on Intelligent Systems Design and Engineering Applications, pp. 533–536.
Liu S, Fu W, He L et al (2015) Distribution of primary additional errors in fractal encoding method [J]. Multimedia Tools and Applications. doi:10.1007/s11042-014-2408-1
Liu S, Zhang Z, Qi L et al (2015) A fractal image encoding method based on statistical loss used in agricultural image compression [J]. Multimedia Tools Appl. doi:10.1007/s11042-014-2446-8
Lo C-Y, Chen LC (2013) Topological gradient connection analysis for feature detection. Photogramm Rec 28(141):7–26
Mandal S, Sao AK. Edge preserving single image super resolution in sparse environment. Proceedings of 20th IEEE International Conference on Image Processing, 2013, pp. 967–971.
Setayesh M, Zhang M, Johnston M. Effects of static and dynamic topologies in Particle Swam Optimization for edge detection in noisy images. Proceedings of IEEE Congress on Evolutionary Computation, 2012, pp. 10–15.
Setayesh M, Zhang M, Johnston M (2013) A novel particle swarm optimization approach to detecting continuous, thin and smooth edges in noisy images. Inf Sci 246:28–51
Vaiter S, Peyre G, Dossal C et al (2013) Robust sparse analysis regularization. IEEE Trans Inf Theory 59(4):2001–2006
Wan S, Yang FZ, He MY. Gradient-threshold edge detection based on perceptually adaptive threshold selection. Proceedings of IEEE Conference on Industrial Electronics and Applications, 2008, pp. 999–1002.
Wang GB, Qi JY (2015) Edge-preserving PET image reconstruction using trust optimization transfer. IEEE Trans Med Imaging 34(4):930–939
Zhang J, Liu J. Image segmentation with multi-scale GVF snake model based on B-spline wavelet, software engineering. Proceedings of Eighth ACIS International Conference on Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007, SNPD 2007. Eighth ACIS International Conference 3:259–263
Zhang X, Yin Z, Xiong Y (2008) Adaptive switching mean filter for impulse noise removal. Proc Congress Image Sig Process 3:275–278
Zhao D-P, Wang Y-J, Li G-J (2015) Study of edge detection method for noise-involved weak object based on stationary wavelet transform. Opt Tech 41(5):380–383
Zheng ZG, Jeong HY, Huang T et al (2015) KDE based outlier detection on distributed data streams in sensor network [J]. J Sens 2015:1–11
Zheng ZG, Wang P, Liu J et al (2015) Real-time big data processing framework: challenges and solutions [J]. Appl Math Inf Sci 9(6):3169–3190
Zhu XL, Deng XL, Hu DM (2012) An edge detection algorithm with multi-threshold selection and edge connection. J Graph 33(2):72–76
Acknowledgments
This work is supported by the project of Anhui Province Science Foundation of China with No. KJ2012A214 entitled “Dynamical behaviour and control of memristor-based chaotic and hyperchaotic systems”, the project of Anhui Province Science Foundation of China with No. 2015KJ012 entitled “Inpainting system model of thangka damaged region”, the project of Anhui Province Science Foundation of China with No.2015FSKJ08 entitled “Thangka semantic annotation based on interesting region”, the project of Anhui Province Science Foundation of China with No. 2013WLGH01ZD entitled “Construction of regional logistics information platform based on cloud computing”, and the project of Anhui Province Science Foundation of China with No. KJ2013B192 entitled “Finger vein image quality evaluation and its application”.
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Xu, D., Wang, X., Sun, G. et al. Towards a novel image denoising method with edge-preserving sparse representation based on laplacian of B-spline edge-detection. Multimed Tools Appl 76, 17839–17854 (2017). https://doi.org/10.1007/s11042-015-3097-0
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DOI: https://doi.org/10.1007/s11042-015-3097-0