Variational image reconstruction from arbitrarily spaced samples: a fast multiresolution spline solution

We propose a novel method for image reconstruction from nonuniform samples with no constraints on their locations. We adopt a variational approach where the reconstruction is formulated as the minimizer of a cost that is a weighted sum of two terms: 1) the sum of squared errors at the specified poin...

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Bibliographic Details
Published in:	IEEE transactions on image processing Vol. 14; no. 4; pp. 450 - 460
Main Authors:	Arigovindan, M., Suhling, M., Hunziker, P., Unser, M.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.04.2005 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Applied sciences Artificial Intelligence B-splines Computer Simulation Cost function Differential algebraic equations Exact sciences and technology Image Enhancement - methods Image Interpretation, Computer-Assisted - methods Image processing Image reconstruction Image resolution Information Storage and Retrieval - methods Information, signal and communications theory Interpolation Linear systems Models, Statistical multigrid algorithm multiresolution reconstruction nonuniform interpolation Nonuniform sampling Numerical Analysis, Computer-Assisted Pattern Recognition, Automated - methods radial basis functions (RBFs) Reproducibility of Results Sample Size Sensitivity and Specificity Signal processing Signal Processing, Computer-Assisted Signal resolution Spline Studies Subtraction Technique Telecommunications and information theory thin-plate splines variational reconstruction B spline Performance evaluation Image processing Thin plate Numerical method Multiresolution analysis Image reconstruction Spline multigrid algorithm Linear equation Multigrid radial basis functions (RBFs) variational reconstruction Fast algorithm Localization multiresolution reconstruction Large scale system B-splines nonuniform interpolation Image method Radial basis function Interpolation Linear system Analytical method thin-plate splines
ISSN:	1057-7149, 1941-0042
Online Access:	Get full text
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