Title :
Beyond interpolation: optimal reconstruction by quasi-interpolation
Author :
Condat, Laurent ; Blu, Thierry ; Unser, Michael
Author_Institution :
Laboratoire LIS, Federation ELESA, Grenoble, France
Abstract :
We investigate the use of quasi-interpolating approximation schemes, to construct an estimate of an unknown function from its given discrete samples. We show theoretically and with practical experiments that such methods perform better than classical interpolation, for the same computation cost.
Keywords :
function approximation; image reconstruction; interpolation; discrete samples; optimal reconstruction; quasi-interpolation approximation schemes; unknown function; Biomedical imaging; Computational efficiency; Fourier transforms; Image processing; Image reconstruction; Image sampling; Interpolation; Kernel; Performance evaluation; Signal processing;
Conference_Titel :
Image Processing, 2005. ICIP 2005. IEEE International Conference on
Print_ISBN :
0-7803-9134-9
DOI :
10.1109/ICIP.2005.1529680