We propose to use adaptive wavelet lifting for image retrieval systems that are based on shape detection and multiresolution structures of objects in a database against a background of texture. To measure the performance of our approach, feature vectors are computed based on moment invariants of detail coe cients produced by the adaptive lifting scheme and retrieval rates are obtained by measuring distances between these vectors. Retrieval rates are compared with the rates obtained when using non-adaptive wavelet ÿltering as a preprocessing step. A synthetic database is created for this simulation.
Results are reported for Incomplete line LU (ILLU) in two different roles. One role is the role of smoother in a mu!tigrid method for the solution of linear systems resulting from the 9-point discretization of a genera.I linear second-order elliptic PDE in two dimensions. Together with features like matrix-dependent gridtransferoperators we obtain a blackbox multigrid solver (MGD9V). Another role for ILLU is as preconditioner in a. stabilised bi-cg method (Bi-CGSTAB), a.s recently developed by Van der Vorst. In this role the preconditioner can easily be generalized for a discretized system of PDEs. A comparison is made between the two different roles.
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