On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction
نویسندگان
چکیده
منابع مشابه
On Infimal Convolution of TV-Type Functionals and Applications to Video and Image Reconstruction
The infimal convolution of total (generalized) variation type functionals and its application as regularization for video and image reconstruction is considered. The definition of this particular type of regularization functional is motivated by the need of suitably combining spatial and temporal regularity requirements for video processing. The proposed functional is defined in an infinite dim...
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As first demonstrated by Chambolle and Lions the staircasing effect of the RudinOsher-Fatemi model can be reduced by using infimal convolutions of functionals containing higher order derivatives. In this paper, we examine a modification of such infimal convolutions in a general discrete setting. For the special case of finite difference matrices, we show the relation of our approach to the cont...
متن کاملInfimal convolution of total generalized variation functionals for dynamic MRI.
PURPOSE To accelerate dynamic MR applications using infimal convolution of total generalized variation functionals (ICTGV) as spatio-temporal regularization for image reconstruction. THEORY AND METHODS ICTGV comprises a new image prior tailored to dynamic data that achieves regularization via optimal local balancing between spatial and temporal regularity. Here it is applied for the first tim...
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ژورنال
عنوان ژورنال: SIAM Journal on Imaging Sciences
سال: 2014
ISSN: 1936-4954
DOI: 10.1137/130948793