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The Spiral Architecture has been developed as a fast way of indexing a hexagonal pixel-based image. In combination with spiral addition and spiral multiplication, methods have been developed for hexagonal image processing operations such as translation and rotation. Using the Spiral Architecture as the basis for our operator structure, we present a general approach to the computation of adaptive coarse scale Laplacian operators for use on hexagonal pixel-based images. We evaluate the proposed operators using simulated hexagonal images and demonstrate improved performance when compared with rectangular Laplacian operators such as Marr-Hildreth.