{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T04:54:46Z","timestamp":1725512086187},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540792451"},{"type":"electronic","value":"9783540792468"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-79246-8_22","type":"book-chapter","created":{"date-parts":[[2008,4,29]],"date-time":"2008-04-29T04:11:48Z","timestamp":1209442308000},"page":"290-303","source":"Crossref","is-referenced-by-count":1,"title":["Noise Removal Based on the Variation of Digitized Energy"],"prefix":"10.1007","author":[{"given":"Qin","family":"Zhang","sequence":"first","affiliation":[]},{"given":"Jie","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Guoliang","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"22_CR1","series-title":"Applied Mathematical Sciences","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-44588-5","volume-title":"Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations","author":"G. Aubert","year":"2006","unstructured":"Aubert, G., Kornprobst, P.: Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations, Applied Mathematical Sciences, 2nd edn, vol.\u00a0147. Springer, Heidelberg (2006)","edition":"2"},{"key":"22_CR2","volume-title":"Image Processing and Analysis\u2013Variational, PDE, Wavelet, and Stochastic Methods","author":"T.F. Chan","year":"2005","unstructured":"Chan, T.F., Shen, J.H.: Image Processing and Analysis\u2013Variational, PDE, Wavelet, and Stochastic Methods. SIAM, Philadelphia (2005)"},{"key":"22_CR3","unstructured":"Sun, J., Zhang, Q., Xu, G.: A survey of variational models in image denoising (submitted)"},{"key":"22_CR4","doi-asserted-by":"crossref","unstructured":"Rudin, L., Osher, S.: Total variation based image restoration with free local constraints. In: Proceedings of the IEEE International Conference on Image Processing, vol.\u00a01, pp. 31\u201335 (1994)","DOI":"10.1109\/ICIP.1994.413269"},{"key":"22_CR5","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D\u00a060, 259\u2013268 (1992)","journal-title":"Physica D"},{"issue":"12","key":"22_CR6","doi-asserted-by":"publisher","first-page":"1579","DOI":"10.1109\/TIP.2003.819229","volume":"12","author":"M. Lysaker","year":"2003","unstructured":"Lysaker, M., Lundervold, A., Tai, X.C.: Noise removal using fourth-order partial differential equation with applications to magnetic resonance images in space and time. IEEE Trans. Image Processing\u00a012(12), 1579\u20131590 (2003)","journal-title":"IEEE Trans. Image Processing"},{"key":"22_CR7","doi-asserted-by":"crossref","unstructured":"Osher, S., Shen, J.: Digitized PDE method for data restoration. In: Anastassiou, G. (ed.) Handbook of Analytic-Computational Methods in Applied Mathematics, Chapman & Hall\/CRC, pp. 751\u2013771 (2000)","DOI":"10.1201\/9781420036053.ch16"},{"key":"22_CR8","unstructured":"Weickert, J.: Anisotropic Diffusion in Image Processing. ECMI. Teubner-Verlag, Stuttgart, Germany (1998)"},{"issue":"1","key":"22_CR9","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1080\/10586458.1993.10504266","volume":"2","author":"U. Pinkall","year":"1993","unstructured":"Pinkall, U., Polthier, K.: Computing discrete minimal surfaces and their conjugates. Experim. Math.\u00a02(1), 15\u201336 (1993)","journal-title":"Experim. Math."},{"key":"22_CR10","doi-asserted-by":"crossref","unstructured":"Bobenko, A.I., Schr\u00f6der, P.: Discrete Willmore flow. In: Desbrun, M., Pottmann, H. (eds.) Eurographics Symposium on Geometry Processing, pp. 101\u2013110 (2005)","DOI":"10.1145\/1198555.1198664"},{"issue":"2","key":"22_CR11","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1109\/83.902288","volume":"10","author":"T.F. Chan","year":"2001","unstructured":"Chan, T.F., Osher, S., Shen, J.H.: The digital TV filter and nonlinear denoising. IEEE Trans. Image Processing\u00a010(2), 231\u2013241 (2001)","journal-title":"IEEE Trans. Image Processing"},{"key":"#cr-split#-22_CR12.1","unstructured":"Kim, S., Lim, H.: A non-conver diffusion model for simultaneous image denoising and edge enhancement. Electronic Journal of Differential Equation (Conference 15), 175???192 (2007);"},{"key":"#cr-split#-22_CR12.2","unstructured":"Six Mississippi State Conference on Differential Equations and Computational Simulations."},{"issue":"1","key":"22_CR13","first-page":"72","volume":"30","author":"S. Kim","year":"2006","unstructured":"Kim, S.: Image denoising via diffusion modulation. International Journal of Pure and Applied Mathmatics\u00a030(1), 72\u201391 (2006)","journal-title":"International Journal of Pure and Applied Mathmatics"},{"issue":"2","key":"22_CR14","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1137\/S1064827599351751","volume":"22","author":"A. Marquina","year":"2000","unstructured":"Marquina, A., Osher, S.: Explicit algorithms for a new time dependent model based on level set motion for nonlinear deblurring and noise removal. SIAM J. Sci. Comput.\u00a022(2), 387\u2013405 (2000)","journal-title":"SIAM J. Sci. Comput."},{"issue":"7","key":"22_CR15","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P. Perona","year":"1990","unstructured":"Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell.\u00a012(7), 629\u2013639 (1990)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"22_CR16","volume-title":"Digital Imgae Processing","author":"R.C. Gonzalez","year":"1992","unstructured":"Gonzalez, R.C., Woods, R.E.: Digital Imgae Processing. Addison\u2013Wesley, New York (1992)"},{"issue":"5","key":"22_CR17","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1002\/nla.278","volume":"9","author":"M.I.G. Bloor","year":"2002","unstructured":"Bloor, M.I.G., Wilson, M.J.: Modular solvers for image restoration problems using the discrepancy principle. Numerical Linear Algebra with Applications\u00a09(5), 347\u2013358 (2002)","journal-title":"Numerical Linear Algebra with Applications"},{"key":"22_CR18","unstructured":"Buades, A., Coll, B., Morel, J.M.: On image denoising methods. Technical Report 2004-15, Centre de Math\u00e9matiques et de Leurs Applications(CMLA) (2004)"},{"key":"22_CR19","unstructured":"Joo, K., Kim, S.: PDE-based image restoration I: Anti-staircasing and anti-diffusion. Technical Report 2003-07, Department of Mathematics, University of Kentucky (2003)"}],"container-title":["Lecture Notes in Computer Science","Advances in Geometric Modeling and Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-79246-8_22.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,24]],"date-time":"2020-11-24T02:17:52Z","timestamp":1606184272000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-79246-8_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540792451","9783540792468"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-79246-8_22","relation":{},"subject":[]}}