Image processing apparatus, image processing method and program

An image processing apparatus includes a calculation section configured to calculate filtering coefficients of a filter with a first area in an image that is partitioned into multiple first areas including the first area, the image being partitioned differently into multiple second areas, each one of which being covered by several first areas, to calculate a convoluted image of a second area using the filtering coefficients calculated with the first areas covering a part of the second area, the calculation being executed for the several first areas covering distinct parts of the second area, respectively; and an interpolation section configured to interpolate a pixel in the second area using pixels at the same position in the convoluted images of the second area which are convoluted with the respective filtering coefficients.