Image rotations of 90°, 180° and 270° and horizontal and vertical mirroring image transformations are performed losslessly and with greatly enhanced speed by processing orthogonal transform coefficients in a zig-zag order with direct storage of S (size) values, reassociated R (run of zero valued coefficients) from an adjacent coded orthogonal transform value and a non-zero valued transformation coefficient in reverse zig-zag order. Cache misses are avoided by processing values which are not widely separated in the coded data and other features of the technique and memory accesses are reduced to accelerate processing while extremely little computation is required. These effects are substantially augmented when intermediate codes having certain attributes including coding of zero valued coefficients and flagging certain code features are employed.