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This paper presents a convenient graphical tool for encoding visual patterns(such as image patches and image atoms) as point constellations in a spacespanned by perceptual features and with a clear geometrical interpretation.General theory and a practical pattern encoding scheme are presented, inspiredby encoding polarization states of a light wave on the Poincare sphere. Thisnew pattern encoding scheme can be useful for many applications in imageprocessing and computer vision. Here, three possible applications areillustrated, in clustering perceptually similar patterns, visualizingproperties of learned dictionaries of image atoms and generating newdictionaries of image atoms from spherical codes.

Pattern Encoding on the Poincare Sphere