Summary: 3D Zernike Moments and Zernike Affine Invariants
for 3D Image Analysis and Recognition
N. Canterakis
Institute for Pattern Recognition and Image Processing
Department of Computer Science,
Albert ­ Ludwigs ­ University of Freiburg
D ­ 79110 Freiburg i. Br., Germany
Email address: canterakis@informatik.uni­freiburg.de
Abstract
Guided by the results of much research work
done in the past on the performance of 2D image
moments and moment invariants in the presence
of noise, suggesting that by using orthogonal 2D
Zernike rather than regular geometrical moments
one gets many advantages regarding noise effects,
information suppression at low radii and redun­
dancy, we have worked out and introduce a com­
plete set of 3D polynomials orthonormal within the
unit sphere that exhibits a ''form invariance'' prop­
erty under 3D rotation like the 2D Zernike polyno­

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

Collections: Computer Technologies and Information Sciences