The present invention creates a color transform for transforming color image data from a device-independent color space to a device-dependent color space of a color device. Each assembly includes winding carrying U-shaped magnets attached to a non-magnetic carrier frame. A range compare operation is performed to determine whether a comparand is greater than the boundary value. Because the elements of the quantized bounded eigenvectors can be expressed in terms of each other, not all elements of the quantized bounded vectors need be transmitted over the communication channel resulting in efficient use of the communication channel.