Resampling Images to a Regular Grid from a Non-Regular Subset of Pixel Positions Using Frequency Selective Reconstruction

Journal article


Publication Details

Author(s): Seiler J, Jonscher M, Schöberl M, Kaup A
Journal: IEEE Transactions on Image Processing
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publication year: 2015
Volume: 24
Journal issue: 11
Pages range: 4540-4555
ISSN: 1057-7149


Abstract


Even though image signals are typically defined on a regular 2D grid, there also exist many scenarios where this is not the case and the amplitude of the image signal only is available for a non-regular subset of pixel positions. In such a case, a resampling of the image to a regular grid has to be carried out. This is necessary since almost all algorithms and technologies for processing, transmitting or displaying image signals rely on the samples being available on a regular grid. Thus, it is of great importance to reconstruct the image on this regular grid, so that the reconstruction comes closest to the case that the signal has been originally acquired on the regular grid. In this paper, Frequency Selective Reconstruction is introduced for solving this challenging task. This algorithm reconstructs image signals by exploiting the property that small areas of images can be represented sparsely in the Fourier domain. By further considering the basic properties of the optical transfer function of imaging systems, a sparse model of the signal is iteratively generated. In doing so, the proposed algorithm is able to achieve a very high reconstruction quality, in terms of peak signal-to-noise ratio (PSNR) and structural similarity measure as well as in terms of visual quality. The simulation results show that the proposed algorithm is able to outperform state-of-the-art reconstruction algorithms and gains of more than 1 dB PSNR are possible.



FAU Authors / FAU Editors

Jonscher, Markus
Seiler, Jürgen Dr.-Ing.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Kaup, Andre Prof. Dr.-Ing.
Lehrstuhl für Multimediakommunikation und Signalverarbeitung
Schöberl, Michael
Lehrstuhl für Multimediakommunikation und Signalverarbeitung


How to cite

APA:
Seiler, J., Jonscher, M., Schöberl, M., & Kaup, A. (2015). Resampling Images to a Regular Grid from a Non-Regular Subset of Pixel Positions Using Frequency Selective Reconstruction. IEEE Transactions on Image Processing, 24(11), 4540-4555. https://dx.doi.org/10.1109/TIP.2015.2463084

MLA:
Seiler, Jürgen, et al. "Resampling Images to a Regular Grid from a Non-Regular Subset of Pixel Positions Using Frequency Selective Reconstruction." IEEE Transactions on Image Processing 24.11 (2015): 4540-4555.

BibTeX: 

Last updated on 2018-19-04 at 03:04