A high-performance band combine function to transform a source image of n bands to a destination image of m bands. A source image vector is multiplied with a transformation matrix having n+1 columns and m rows. The values in the transformation matrix may be user-selected. The product of the source image and the transformation matrix is a destination image vector. The destination image vector may be displayed on a computer monitor. To perform the function in a digital system, the pixels of the source image are converted to a partitioned format. The source image is multiplied with the transformation matrix values using partitioned arithmetic. In the digital system, a plurality of partitioned arithmetic operations may be performed in parallel.