2 FAST APPROXIMATE WAVELET ALGORITHMS FOR IMAGE-PROCESSING, CLASSIFICATION, AND RECOGNITION

被引：4

作者：

WICKERHAUSER, MV

机构：

[1] Washington Univ., St. Louis, MO

来源：

OPTICAL ENGINEERING | 1994年 / 33卷 / 07期

关键词：

ADAPTIVE WAVELET TRANSFORMS; IMAGE PROCESSING; ORTHOGONAL DECOMPOSITION;

D O I：

10.1117/12.172905

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We use large libraries of template waveforms with remarkable orthogonality properties to recast the relatively complex principal orthogonal decomposition (POD) into an optimization problem with a fast solution algorithm. Then it becomes practical to use POD to solve two related problems: recognizing or classifying images, and inverting a complicated map from a low-dimensional configuration space to a high-dimensional measurement space. In the case where the number N of pixels or measurements is more than 1000 or so, the classical O(N3) POD algorithm becomes very costly, but it can be replaced with an approximate best-basis method that has complexity O(N2 logN). A variation of POD can also be used to compute an approximate Jacobian for the complicated map.

引用

页码：2225 / 2235

页数：11

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