Abstract: The invention provides a fast method for a high-quality interpolation of a finite multidimensional dataset. It has particular application in digital image processing, including, but not limited to, processing of both still images and real-time image/data processing. The method uses discrete cosine and sine transforms of appropriate types to covert, in blocks of desired size, the initial dataset to the frequency domain. Proposed interpolators calculate a chain of inverse transforms of non-square sizes that perform the interpolation. The larger transform is broken into smaller transforms of non-square size using a recursive size reduction process of FFT-type, and the smaller transforms are calculated directly exploiting the symmetry properties of smaller interpolator functions involved. An output dataset is then assembled using the calculated transforms. The method avoids computationally costly process of inflating the coefficient space by padding zeros exploited for DCT-based interpolations previously.

Abstract: The invention provides a fast method for a high-quality interpolation of a finite multidimensional dataset. It has particular application in digital image processing, including, but not limited to, processing of both still images and real-time image/data processing. The method uses discrete cosine and sine transforms of appropriate types to covert, in blocks of desired size, the initial dataset to the frequency domain. Proposed interpolators calculate a chain of inverse transforms of non-square sizes that perform the interpolation. The larger transform is broken into smaller transforms of non-square size using a recursive size reduction process of FFT-type, and the smaller transforms are calculated directly exploiting the symmetry properties of smaller interpolator functions involved. An output dataset is then assembled using the calculated transforms. The method avoids computationally costly process of inflating the coefficient space by padding zeros exploited for DCT-based interpolations previously.

Abstract: A method of compressing and decompressing an image dataset. The method includes providing an image dataset to be compressed and defining a compression factor, selecting a block size than 15 and a block overlap of two or more grid points, compressing said image dataset using said block size and said defined compression factor to obtain a compressed image dataset, and decompressing said compressed image dataset and performing grid point interpolation at or near said block overlap to obtain a decompressed image dataset.

Abstract: A method of interpolating images using continuous extension functions of inverse discrete transforms is described.

Abstract: A method of interpolating images using continuous extension functions of inverse discrete transforms is described.