{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T18:29:15Z","timestamp":1770834555173,"version":"3.50.1"},"reference-count":34,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2017,5,28]],"date-time":"2017-05-28T00:00:00Z","timestamp":1495929600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"publisher","award":["2015R1A2A1A14000912"],"award-info":[{"award-number":["2015R1A2A1A14000912"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a spatio-spectral-temporal filter considering an inter-channel correlation is proposed for the denoising of a color filter array (CFA) sequence acquired by CCD\/CMOS image sensors. Owing to the alternating under-sampled grid of the CFA pattern, the inter-channel correlation must be considered in the direct denoising process. The proposed filter is applied in the spatial, spectral, and temporal domain, considering the spatio-tempo-spectral correlation. First, nonlocal means (NLM) spatial filtering with patch-based difference (PBD) refinement is performed by considering both the intra-channel correlation and inter-channel correlation to overcome the spatial resolution degradation occurring with the alternating under-sampled pattern. Second, a motion-compensated temporal filter that employs inter-channel correlated motion estimation and compensation is proposed to remove the noise in the temporal domain. Then, a motion adaptive detection value controls the ratio of the spatial filter and the temporal filter. The denoised CFA sequence can thus be obtained without motion artifacts. Experimental results for both simulated and real CFA sequences are presented with visual and numerical comparisons to several state-of-the-art denoising methods combined with a demosaicing method. Experimental results confirmed that the proposed frameworks outperformed the other techniques in terms of the objective criteria and subjective visual perception in CFA sequences.<\/jats:p>","DOI":"10.3390\/s17061236","type":"journal-article","created":{"date-parts":[[2017,5,30]],"date-time":"2017-05-30T04:35:42Z","timestamp":1496118942000},"page":"1236","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Denoising Algorithm for CFA Image Sensors Considering Inter-Channel Correlation"],"prefix":"10.3390","volume":"17","author":[{"given":"Min","family":"Lee","sequence":"first","affiliation":[{"name":"School of Electrical and Electronics Engineering, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sang","family":"Park","sequence":"additional","affiliation":[{"name":"Medical Device Development Centre, Daegu-Gyeongbuk Medical Innovation Foundation, 80 Cheombok-Ro, Dong-gu, Daegu 41061, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Moon","family":"Kang","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronics Engineering, Yonsei University, 50 Yonsei-Ro, Seodaemun-Gu, Seoul 03722, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,5,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1137\/040616024","article-title":"A review of image denoising algorithms, with a new one","volume":"4","author":"Buades","year":"2005","journal-title":"SIAM J. Multiscale Model. Simul."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"067007-14","DOI":"10.1117\/1.OE.51.6.067007","article-title":"Image denoising filter based on patch based difference refinement","volume":"51","author":"Park","year":"2012","journal-title":"Opt. Eng."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"2080","DOI":"10.1109\/TIP.2007.901238","article-title":"Image denoising by sparse 3D transform-domain collaborative filtering","volume":"16","author":"Dabov","year":"2007","journal-title":"IEEE Trans. Image Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1714","DOI":"10.1109\/TCSVT.2007.904590","article-title":"An Improved Motion-Compensated 3-D LLMMSE filter with spatio-temporal adaptive filtering support","volume":"17","author":"Yin","year":"2007","journal-title":"IEEE Trans. Circuits Syst. Video Technol.,"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1423","DOI":"10.1109\/TCSVT.2007.903797","article-title":"Temporal video denoising based on multihypothesis motion compensation","volume":"17","author":"Guo","year":"2007","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.sigpro.2012.06.025","article-title":"Generalized multihypothesis motion compensated filter for grayscale and color video denoising","volume":"93","author":"Dai","year":"2013","journal-title":"Signal Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1007\/s11263-007-0052-1","article-title":"Nonlocal Image and Movie Denoising","volume":"76","author":"Buades","year":"2008","journal-title":"Int. J. Comput. Vis."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1096","DOI":"10.1109\/TPAMI.2007.1064","article-title":"Space-Time Adaptation for Patch-Based Image Sequence Restoration","volume":"29","author":"Boulanger","year":"2007","journal-title":"IEEE Trans. Patt. Anal. Mach. Intell."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Dabov, K., Foi, A., and Egiazarian, K. (2007, January 3\u20137). Video Denoising By Sparse 3D Transform-Domain Collaborative Filtering. Proceedings of the 15th European Signal Processing Conference, Poznan, Poland.","DOI":"10.1117\/12.766355"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"4282","DOI":"10.1109\/TIP.2014.2345261","article-title":"Joint Removal of Random and Fixed-Pattern Noise hrough Spatiotemporal Video Filtering","volume":"23","author":"Maggioni","year":"2014","journal-title":"IEEE Trans. Image Process."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2573","DOI":"10.1109\/TIP.2016.2551639","article-title":"Patch-Based Video Denoising With Optical Flow Estimation","volume":"25","author":"Buades","year":"2016","journal-title":"IEEE Trans. Image Process."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2184","DOI":"10.1109\/TIP.2007.901807","article-title":"Color reproduction from noisy CFA data of single sensor digital cameras","volume":"16","author":"Zhang","year":"2007","journal-title":"IEEE Trans. Image Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1109\/LSP.2005.859503","article-title":"Frequency-domain methods for demosaicking of Bayer-sampled color images","volume":"12","author":"Dubois","year":"2005","journal-title":"IEEE Signal Process. Lett."},{"key":"ref_14","unstructured":"Laroche, C.A., and Prescott, M.A. (1994). Apparatus and Method for Adaptively Interpolating a Full Color Image Utilizing Chrominance Gradients. (5373322), U.S. Patent."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2167","DOI":"10.1109\/TIP.2005.857260","article-title":"Color demosaicking via directional linear minimum mean square-error estimation","volume":"14","author":"Zhang","year":"2005","journal-title":"IEEE Trans. Image Process."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1521","DOI":"10.1109\/83.951537","article-title":"New Edge-Directed Interpolation","volume":"10","author":"Li","year":"2001","journal-title":"IEEE Trans. Image Process."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1194","DOI":"10.1109\/TIP.2003.816004","article-title":"Color filter array demosaicing: new method and performance measures for color filter array","volume":"12","author":"Lu","year":"2003","journal-title":"IEEE Trans. Image Process."},{"key":"ref_18","unstructured":"Bayer, B.E. (1976). Color Imaging Array. (3971065), U.S. Patent."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1876","DOI":"10.1109\/TIP.2008.2002164","article-title":"Spatio-spectral color filter array design for optimal image recovery","volume":"17","author":"Hirakawa","year":"2008","journal-title":"IEEE Trans. Image Process."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1109\/TIP.2010.2077642","article-title":"A geometric method for optimal design of color filter arrays","volume":"20","author":"Hao","year":"2011","journal-title":"IEEE Trans. Image Process."},{"key":"ref_21","unstructured":"Honda, H., Iida, Y., and Egawa, Y. (2007, January 7\u201310). High sensitivity color CMOS image sensor with WRGB color filter array and color separation process using edge detection. Proceedings of the 2007 International Image Sensor Workshop, Ogunquit, ME, USA."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Getman, A., Kim, J., and Kim, T.C. (2010, January 26\u201329). Imaging system having White-RGB color filter array. Proceedings of the 2010 IEEE International Conference on Image Processing, Hong Kong, China.","DOI":"10.1109\/ICIP.2010.5652731"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"030501","DOI":"10.1117\/1.JEI.23.3.030501","article-title":"Generalized color interpolation scheme based on intermediate quincuncial patter","volume":"23","author":"Park","year":"2014","journal-title":"J. Electron. Imaging"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Park, C., Song, K.S., and Kang, M.G. (2017). G-channel restoration for RWB CFA with double-exposed W channel. Sensors, 17.","DOI":"10.3390\/s17020293"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1109\/TIP.2008.2011384","article-title":"PCA-based Spatial Adaptive Denoising of CFA Images for Single-Sensor Digital Cameras","volume":"18","author":"Zhang","year":"2009","journal-title":"IEEE Trans. Image Process."},{"key":"ref_26","unstructured":"Wang, X., Pedersen, M., and Thomas, J. (2014, January 10\u201312). The influence of chromatic aberration on demosaicking. Proceedings of the 5th European Workshop on Visual Information Processing (EUVIP), Paris, France."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2146","DOI":"10.1109\/TIP.2006.875241","article-title":"Joint demosaicing and denoising","volume":"15","author":"Hirakawa","year":"2006","journal-title":"IEEE Trans. Image Process."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Condat, L. (2010, January 26\u201329). A simple, fast and efficient approach to denoisaicking: Joint demosaicking and denoising. Proceedings of the 2010 IEEE International Conference on Image Processing, Hong Kong, China.","DOI":"10.1109\/ICIP.2010.5652196"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Condat, L., and Mosaddegh, S. (October, January 30). Joint demosaicking and denoising by total variation minimization. Proceedings of the 2012 IEEE International Conference on Image Processing, Orlando, FL, USA.","DOI":"10.1109\/ICIP.2012.6467476"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Danielyan, A., Vehvilainen, M., Foi, A., Katkovnik, V., and Egiazarian, K. (2009, January 19\u201321). Cross-color BM3D filtering of noisy raw data. Proceedings of the International Workshop Local and Non-Local Approximation in Image Processing, Tuusula, Finland.","DOI":"10.1109\/LNLA.2009.5278395"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1692","DOI":"10.3390\/s90301692","article-title":"Noise Reduction for CFA Image Sensors Exploiting HVS Behaviour","volume":"9","author":"Bosco","year":"2009","journal-title":"Sensors"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"838","DOI":"10.1109\/TCSVT.2010.2045921","article-title":"Spatial-Temporal Color Video Reconstruction from Noisy CFA Sequence","volume":"20","author":"Zhang","year":"2010","journal-title":"IEEE Trans. Circ. Syst. Video Technol."},{"key":"ref_33","unstructured":"Li, J., Wang, K., and Zhang, D. (2002, January 4\u20135). A new equation of saturation in RGB-to-HSI conversion for more rapidity of computing. Proceeding of International Conference of Machine Learning and Cybernetics, Beijing, China."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIP.2003.819861","article-title":"Image quality assessment: from error measurement to structural similarity","volume":"13","author":"Wang","year":"2004","journal-title":"IEEE Trans. Image Process."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/6\/1236\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:37:17Z","timestamp":1760207837000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/6\/1236"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,28]]},"references-count":34,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2017,6]]}},"alternative-id":["s17061236"],"URL":"https:\/\/doi.org\/10.3390\/s17061236","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,5,28]]}}}