Clifford Fourier Transform on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Edge-Preserving Image Denoising and Estimation of Discontinuous Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Single frame image super-resolution: should we process locally or globally?
Multidimensional Systems and Signal Processing
Time-scale and time-frequency analyses of irregularly sampled astronomical time series
EURASIP Journal on Applied Signal Processing
MRI image enhancement by PROPELLER data fusion
International Journal of Advanced Media and Communication
Efficient reconstruction algorithms using shifted lattices
IEEE Transactions on Signal Processing
Optimized least-square nonuniform fast Fourier transform
IEEE Transactions on Signal Processing
Invariant image reconstruction from irregular samples and hexagonal grid splines
Image and Vision Computing
Channel estimation in wireless OFDM systems with irregular pilot distribution
IEEE Transactions on Signal Processing
Transcoding with Resolution Conversion Using Super-Resolution and Irregular Sampling
Journal of Signal Processing Systems
Fast computation of spectral centroids
Advances in Computational Mathematics
Proceedings of the Second International Conference on Computational Science, Engineering and Information Technology
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An efficient method for the reconstruction of bandlimited images and the approximation of arbitrary images from nonuniform sampling values is developed. The novel method is based on the observation that the reconstruction problem can be formulated as linear system of equations using two-dimensional (2-D) trigonometric polynomials, where the matrix is of block-Toeplitz type with Toeplitz blocks. This system is solved iteratively by the conjugate gradient (CG) method. We show that the use of so-called adaptive weights in the establishment of the block Toeplitz matrix can be seen as efficient preconditioning. The superiority of the new method over conventional approaches is demonstrated by numerical experiments