Shift And Rotation Invariant Object Reconstruction Using The Bispectrum
- 24 August 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 106-111
- https://doi.org/10.1109/hosa.1989.735279
Abstract
Triple correlations and their Fourier transforms, called bispectra, have properties desirable for image sequence analysis. Specifically, the triple correlation of a 2-d sequence is shift -invariant, it vanishes for a zero-mean colored Gaussian random field, and can be used to uniquely recover the original sequence to within a linear phase shift. An FFTbased algorithm for reconstructing a 2-d sequence from its bispectrum is reviewed and tested. The bispectrum is also applied to estimate a randomly translating and rotating object from a sequence of noisy images. The technique does not require solution of the correspondence problem, and is insensitive to additive colored Gaussian noise of unknown spectral density. Some simulation results for the random translation case are presented.Keywords
This publication has 9 references indexed in Scilit:
- ARMA modeling and phase reconstruction of multidimensional non-Gaussian processes using cumulantsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Signal reconstruction from multiple correlations: frequency- and time-domain approachesJournal of the Optical Society of America A, 1989
- Algorithms for image reconstruction from photon-limited data using the triple correlationJournal of the Optical Society of America A, 1988
- Shift-invariant imaging of photon-limited data using bispectral analysisOptics Communications, 1985
- Phase and amplitude recovery from bispectraApplied Optics, 1984
- Triple correlationsProceedings of the IEEE, 1984
- An Introduction to Bispectral Analysis and Bilinear Time Series ModelsPublished by Springer Nature ,1984
- Speckle masking in astronomy: triple correlation theory and applicationsApplied Optics, 1983
- Digital reconstruction of multidimensional signals from their projectionsProceedings of the IEEE, 1974