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» Tomographic Reconstruction of Piecewise Smooth Images
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ICIP
2010
IEEE
14 years 8 months ago
Poisson image reconstruction with total variation regularization
This paper describes an optimization framework for reconstructing nonnegative image intensities from linear projections contaminated with Poisson noise. Such Poisson inverse probl...
Rebecca Willett, Zachary T. Harmany, Roummel F. Ma...
TMI
2002
115views more  TMI 2002»
14 years 9 months ago
Discretization of the Radon transform and of its inverse by spline convolutions
Abstract--We present an explicit formula for B-spline convolution kernels; these are defined as the convolution of several B-splines of variable widths and degrees . We apply our r...
Stefan Horbelt, Michael Liebling, Michael Unser
TIP
1998
142views more  TIP 1998»
14 years 9 months ago
Inversion of large-support ill-posed linear operators using a piecewise Gaussian MRF
Abstract—We propose a method for the reconstruction of signals and images observed partially through a linear operator with a large support (e.g., a Fourier transform on a sparse...
Mila Nikolova, Jérôme Idier, Ali Moha...
CVPR
2000
IEEE
15 years 12 months ago
A Curve Evolution Approach to Smoothing and Segmentation Using the Mumford-Shah Functional
In this work, we approach the classic Mumford-Shah problem from a curve evolution perspective. In particular, we let a given family of curves define the boundaries between regions...
Andy Tsai, Anthony J. Yezzi, Alan S. Willsky
PAMI
2007
336views more  PAMI 2007»
14 years 9 months ago
Topological Equivalence between a 3D Object and the Reconstruction of Its Digital Image
— Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and in ...
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqu...