Bandlimited Reconstruction of Multidimensional Images From Irregular Samples | IEEE Journals & Magazine | IEEE Xplore

Bandlimited Reconstruction of Multidimensional Images From Irregular Samples


Abstract:

We examine different sampling lattices and their respective bandlimited spaces for reconstruction of irregularly sampled multidimensional images. Considering an irregular...Show More

Abstract:

We examine different sampling lattices and their respective bandlimited spaces for reconstruction of irregularly sampled multidimensional images. Considering an irregularly sampled dataset, we demonstrate that the non-tensor-product bandlimited approximations corresponding to the body-centered cubic and face-centered cubic lattices provide a more accurate reconstruction than the tensor-product bandlimited approximation associated with the commonly-used Cartesian lattice. Our practical algorithm uses multidimensional sinc functions that are tailored to these lattices and a regularization scheme that provides a variational framework for efficient implementation. Using a number of synthetic and real data sets we record improvements in the accuracy of reconstruction in a practical setting.
Published in: IEEE Transactions on Image Processing ( Volume: 22, Issue: 10, October 2013)
Page(s): 3950 - 3960
Date of Publication: 03 June 2013

ISSN Information:

PubMed ID: 23744677

References

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