Restoration of manifold-valued images by half-quadratic minimization
Publication in refereed journal

香港中文大學研究人員
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其它資訊
摘要The paper addresses the generalization of the half-quadratic minimization method for the restoration of images having values in a complete, connected Riemannian manifold. We recall the half-quadratic minimization method using the notation of the c-transform and adapt the algorithm to our special variational setting. We prove the convergence of the method for Hadamard spaces. Extensive numerical examples for images with values on spheres, in the rotation group SO(3), and in the manifold of positive definite matrices demonstrate the excellent performance of the algorithm. In particular, the method with SO(3)-valued data shows promising results for the restoration of images obtained from Electron Backscattered Diffraction which are of interest in material science.
著者Bergmann R., Chan R.H., Hielscher R., Persch J., Steidl G.
期刊名稱Inverse Problems and Imaging
詳細描述Inverse Problems and Imaging.
出版年份2016
月份5
日期1
卷號10
期次2
出版社American Institute of Mathematical Sciences
出版地United States
頁次281 - 304
國際標準期刊號1930-8337
電子國際標準期刊號1930-8345
語言英式英語
關鍵詞DT-MRI, EBSD, Half-uadratic minimization, Manifold-valued data, Quasi-Newton method, Variational restoration methods

上次更新時間 2020-19-10 於 01:34