Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Resampling images to a regular grid from a nonregular subset of pixel positions using frequency selective reconstruction
 IEEE transactions on image processing 24 (2015), Nr.11, S.45404555 ISSN: 10577149 ISSN: 19410042 

 Englisch 
 Zeitschriftenaufsatz 
 Fraunhofer IIS () 
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 nonregular 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 signaltonoise 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 stateoftheart reconstruction algorithms and gains of more than 1 dB PSNR are possible.