Abstract
Image interpolation, with its image magnifying abilities, is an image processing operation of increasing importance in the fields of biology and medicine. In this paper, we present a novel image interpolation technique that utilizes the discrete cosine transform (DCT). The DCT provides for a decrease in border effects, and improves the processing speed. The advantages of this technique over the traditional Fourier-transform-based techniques stem from basic properties of DCT that it is a non-periodic, real (non-complex) transform with excellent energy compaction in the transform domain. In fact, the DCT's energy compaction property is next only to Karhunen-Loeve transform in the mean squared sense on an ensemble of images (Jain, 1989). In addition, DCT allows interpolation of small volumes (e.g., 8/spl times/8/spl times/8) which is not easily possible with an FFT-based method. Therefore, the present technique is better suited for applications such as a real-time 3D interactive maximum intensity projection, real-time 2-D image magnifier etc. More importantly, the technique can be used for the bandlimited interpolation of any digitally acquired data to minimize partial voluming artifact.
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