The author utilizes the mode space of certain transforms for digital image data to change and combine images in ways that cannot be visualized directly by an artist. The author's methods include a novel use of nonmatched transform pairs in forward and backward processing. The results retain some broad predictability of effect, while the outcomes of using a particular method vary by image. This demonstrates that an artist can guide the choice of techniques used while obtaining unexpected results that suggest variations in the creative process. Results of this research illustrate some of the systematic and individual effects obtainable in several dimensions using such techniques.