Higher Order Image Pyramids

Abstract. The scale invariant property of an ensemble of natural images is examined which motivates a new early visual representation termed the higher order pyramid. The representation is a non-linear generalization of the Laplacian pyramid and is tuned to the type of scale invariance exhibited by natural imagery as opposed to other scale invariant images such as 1/f correlated noise and the step edge. The transformation of an image to a higher order pyramid is simple to compute and straightforward to invert. Because the representation is invertible it is shown that the higher order pyramid can be truncated and quantized with little loss of visual quality. Images coded in this representation have much less redundancy than the raw image pixels and decorrelating transformations such as the Laplacian pyramid. This is demonstrated by showing statistical independence between pairs of coefficients. Because the representation is tuned to the ensemble redundancies the coefficients of the high...

• Type: Conference
• Year: 2006
• Where: ECCV
• Authors: Joshua Gluckman
• Keywords: Computer Vision, Early Visual Representation, ECCV 2006, Laplacian Pyramid, Raw Image Pixels, Scale Invariant Images, Scale Invariant Property