An image can be represented by a two-dimensional array of "image points," which are sets of integers that each describe the color and intensity of a portion of the image. Image-processing operations require that an image or partial image be stored in a memory system that permits access to sequences of image points along any row or column of this image array and/or to the image points within small rectangular areas of the array. This paper describes a number of memory systems that permit access to 1 ? pq,pq ? 1 and/or p ? q subarrays of an image array, where p and q are design parameters.