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Albert Ludwigs Universitat Freiburg Institut fur Informatik

Summary: Albert ­ Ludwigs Universit¨at Freiburg
Institut f¨ur Informatik
Lehrstuhl f¨ur Mustererkennung und Bildverarbeitung
Fast 3D Zernike Moments and ­ Invariants
Internal Report 5/97
Nikolaos Canterakis
ALU Freiburg
Institut f¨ur Informatik
79110 Freiburg, Germany
December 1997

The aim of this report is threefold: First we generalize to 3D a long ago known fast
algorithm for the computation of ordinary geometrical moments of 2D fields starting
from what could be named cumulative moments. This is done by first reformulating
the 2D algorithm in terms of matrix operations and subsequently extending the result
straightforwardly to 3D.
Second, guided by the results of much research work done in the past on the performance
of 2D moments and moment invariants in the presence of noise suggesting that by using


Source: Albert-Ludwigs-Universität Freiburg, Institut für Informatik,, Lehrstuhls für Mustererkennung und Bildverarbeitung


Collections: Computer Technologies and Information Sciences