Stability of phase information

This paper concerns the robustness of phase information for measuring image velocity and binocular disparity, its stability with respect to geometric deformations, and its linearity as a function of spatial position. These properties are shown to depend on the form of the filters used and their frequency bandwidths. The authors also discuss situations in which phase is unstable, many of which can be detected using the model of phase singularities (see Image Vis. Comput. (UK) vol.9, no.5, p.333-7 (Oct. 1991)).<<ETX>>

[1]  Dennis Gabor,et al.  Theory of communication , 1946 .

[2]  W. Root,et al.  An introduction to the theory of random signals and noise , 1958 .

[3]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[4]  C. D. Kuglin,et al.  The phase correlation image alignment method , 1975 .

[5]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[6]  T. Poggio,et al.  A computational theory of human stereo vision , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[7]  John E. W. Mayhew,et al.  Psychophysical and Computational Studies Towards a Theory of Human Stereopsis , 1981, Artif. Intell..

[8]  Andrew P. Witkin,et al.  Scale-Space Filtering , 1983, IJCAI.

[9]  Andrew P. Witkin,et al.  Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.

[10]  Alan L. Yuille,et al.  Scaling Theorems for Zero Crossings , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  D J Field,et al.  Relations between the statistics of natural images and the response properties of cortical cells. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[12]  D. Burr,et al.  Feature detection in human vision: a phase-dependent energy model , 1988, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[13]  Stéphane Mallat,et al.  Multifrequency channel decompositions of images and wavelet models , 1989, IEEE Trans. Acoust. Speech Signal Process..

[14]  A.D. Jepson,et al.  The fast computation of disparity from phase differences , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[15]  Peter J. Burt,et al.  Object tracking with a moving camera , 1989, [1989] Proceedings. Workshop on Visual Motion.

[16]  H. Knutsson,et al.  A multiresolution stereopsis algorithm based on the Gabor representation , 1989 .

[17]  Thomas J. Olson,et al.  Real time vergence control , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[18]  YeshurunY,et al.  Cepstral Filtering on a Columnar Image Architecture , 1989 .

[19]  Juyang Weng,et al.  A theory of image matching , 1990, [1990] Proceedings Third International Conference on Computer Vision.

[20]  Keith Langley,et al.  Vertical and horizontal disparities from phase , 1991, Image Vis. Comput..

[21]  David J. Fleet,et al.  Phase-based disparity measurement , 1991, CVGIP Image Underst..

[22]  Edward H. Adelson,et al.  The Design and Use of Steerable Filters , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[23]  David J. Fleet,et al.  Phase singularities in scale-space , 1991, Image Vis. Comput..

[24]  Hans Knutsson,et al.  Preattentive gaze control for robot vision , 1992 .

[25]  Keith Langley,et al.  Multiple motions from instantaneous frequency , 1992, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[26]  Hans Knutsson,et al.  Hierarchical Phase Based Disparity Estimation , 1992 .

[27]  Edward H. Adelson,et al.  Shiftable multiscale transforms , 1992, IEEE Trans. Inf. Theory.

[28]  Boualem Boashash,et al.  Estimating and interpreting the instantaneous frequency of a signal. II. A/lgorithms and applications , 1992, Proc. IEEE.

[29]  David J. Fleet.  Measurement of image velocity , 1992 .