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Summary: 640 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, VOL. 12, NO. 7, JULY 1990
Application of Affine-Invariant Fourier Descriptors to
Recognition of 3-D Objects
KLAUS ARBTER, WESLEY E. SNYDER, SENIOR MEMBER, IEEE, HANS BURKHARDT,
AND GERD
Abstract-In this work, the method of Fourier descriptors has been
extended to produce a set of normalized coefficients which are invari-
ant under any affinetransformation (translation, rotation, scaling, and
shearing). The method is based on a parameterized boundary descrip-
tion which is transformed to the Fourier domain and normalized there
to eliminate dependencieson the affine transformation and on the start-
ing point.
Invarianceto affine transforms allows considerable robustness when
applied to images of objects which rotate in all three dimensions. This
is demonstrated by processing silhouettes of aircraft as the aircraft
maneuver in three-space.
Zndex Terms-Affine transformation, features, Fourier descriptors,
invariants, shape, 3-D parameter estimation, 2-D parameter determi-
nation.
I. INTRODUCTIONAND BACKGROUND
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