211267
20181007231336.0
10.1109/ICIP.2002.1038985
doi
ARTICLE
Multigrid Image Reconstruction from Arbitrarily Spaced Samples
2002
IEEE
2002
Journal Articles
We propose a novel multiresolution-multigrid based signal reconstruction method from arbitrarily spaced samples. The signal is reconstructed on a uniform grid using B-splines basis functions. The computation of spline weights is formulated as a variational problem. Specifically, we minimize a cost that is a weighted sum of two terms: (i) the sum of squared errors at the specified points; (ii) a quadratic functional that penalizes the lack of smoothness. The problem is equivalent to solving a very large system of linear equations, with the dimension equal to the number of grid points. We develop a computationally efficient multiresolution-multigrid scheme for solving the system. We demonstrate the method with image reconstruction from contour points.
eng
Arigovindan, M.
139003
240493
Sühling, M.
Hunziker, P.
Unser, M.
115227
240182
381–384
Rochester NY, USA
Proceedings of the 2002 IEEE International Conference on Image Processing (ICIP'02)
URL
http://bigwww.epfl.ch/publications/arigovindan0201.html
URL
http://bigwww.epfl.ch/publications/arigovindan0201.pdf
URL
http://bigwww.epfl.ch/publications/arigovindan0201.ps
LIB
252054
U10347
oai:infoscience.tind.io:211267
article
STI
GLOBAL_SET
EPFL-ARTICLE-211267
arigovindan0201/LIB
EPFL
PUBLISHED
REVIEWED
ARTICLE