2004
@article{NoK2004,
vgclass = {refpap},
author = {Marcin Novotni and Reinhard Klein},
title = {Shape retrieval using {3D} {Z}ernike descriptors},
journal = {Computer-Aided Design},
volume = {36},
number = {11},
pages = {1047--1062},
year = {2004},
url = {http://dx.doi.org/10.1016/j.cad.2004.01.005},
abstract = {We advocate the usage of 3D Zernike invariants as
descriptors for 3D shape retrieval. The basis polynomials of this
representation facilitate computation of invariants under rotation,
translation and scaling. Some theoretical results have already been
summarized in the past from the aspect of pattern recognition and shape
analysis. We provide practical analysis of these invariants along with
algorithms and computational details. Furthermore, we give a detailed
discussion on influence of the algorithm parameters like the conversion
into a volumetric function, number of utilized coefficients, etc. As is
revealed by our study, the 3D Zernike descriptors are natural
extensions of recently introduced spherical harmonics based
descriptors. We conduct a comparison of 3D Zernike descriptors against
these regarding computational aspects and shape retrieval performance
using several quality measures and based on experiments on the
Princeton Shape Benchmark.},
}