Gaussian pyramid wavelet transform for multiresolution analysis of images

Multiresolution analysis of images using pyramid data structures has become as an important tool in many areas of image processing. In this work we introduce a Gaussian pyramid wavelet transform for multiresolution analysis of images, We show that with a slight modification of the original Gaussian pyramid a decomposition algorithm is yielded, which has Gaussian pyramid reduce and expand operations with a perfect reconstruction property, The method can be applied to multiresolution representation of 2D and 3D images and moving 2D objects for, e.g., image coding and compression, progressive image transmission, and interpolation. (C) 1996 Academic Press, Inc.