For every possible mixture of clouds and ocean in WorldView-2 8-band data, we construct an anomaly detector (called a “clairvoyant” because we never know which mixture is appropriate in any given pixel). Then we combine these using a fusion technique. The usual method of deriving an analytic expression describing the envelope of all the clairvoyants’ decision boundaries is not possible. Instead, we compute the intersections of infinitesimally close boundaries generated by differential changes in the mixing fraction. When glued together, these 6-dimensional hyperstrings constitute the desired 7-dimensional decision boundary of the fused anomaly detector. However, no closed-form solution exists for the fused result. Therefore, we construct an approximation to the fused detection boundary by first flattening the strings into 6-dimensional hyperplanes and then gluing them together à la 3D printing.