Multiresolution model development for overlapping trees via canonical correlation analysis

Recently a class of multiscale stochastic models has been introducedin which Gaussian random processes are described by scale-recursive dynamics that are indexed by the nodes of a tree. One of the primary reasons theframework is useful is that it leads to an extremely fast, statistically optimal algorithm for least-squares estimation in the context of 2-D images. In this paper, we refine this approach to estimation by eliminating the visually distracting blockiness that has been observed in previous work. We eliminate the blockiness by discarding the standard assumption that distinct nodes at a given level of our tree correspond to disjoint portions of the image domain; as a consequence of this simple idea, a given image pixel may now correspond to several tree nodes. We develop tools forsystematically building overlapping-tree multiscale representations of prespecified statistics, and we develop a corresponding estimation algorithm for this processes. In this way, we achieve nearly o...

• Type: Conference
• Year: 1995
• Where: ICIP
• Authors: Paul W. Fieguth, William W. Irving, Alan S. Willsky
• Keywords: Corresponding Estimation Algorithm, ICIP 1995, Image Processing, Least-squares Estimation, Tree Nodes