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Measurement of Image Velocity : Kluwer International Series in Engineering & Computer Science - David J. Fleet

Measurement of Image Velocity

Kluwer International Series in Engineering & Computer Science

Hardcover Published: 31st March 1992
ISBN: 9780792391982
Number Of Pages: 203

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"Measurement of Image Velocity" presents a computational framework for computing motion information from sequences of images. Its specific goal is the measurement of image velocity (or optical flow), the projection of 3-D object motion onto the 2-D image plane. The formulation of the problem emphasizes the geometric and photometric properties of image formation and the occurrence of multiple image velocities caused, for example, by specular reflections, shadows, or transparency. The method proposed for measuring image velocity is based on the phase behaviour in the output of velocity-tuned filters. Extensive experimental work is used to show that phase can be a reliable source of information; velocity estimates are shown to be accurate in cases of pure image translation, small geometric deformation, smooth contrast variations, and multiple local velocities. Extensive theoretical analysis is used to explain the robustness of phase with respect to deviations from image translation, and to detect situations in which phase becomes unstable. The results indicate that optical flow may be extracted reliably for computing egomotion and structure from motion. The monograph also contains a review of other techniques and frequency analysis applied to image sequences, and it discusses the closely related topics of zero-crossing tracking, gradient-based methods, and the measurement of binocular disparity. The work is relevant to those studying machine vision and visual perception.

Introductionp. 3
Time-Varying Image Formationp. 11
Image Velocity and Frequency Analysisp. 19
Velocity-Specific Representationp. 29
Review of Existing Techniquesp. 37
Image Velocity as Local Phase Behaviourp. 55
Experimental Resultsp. 67
Computing 2-D Velocityp. 85
Scale-Space Phase Stabilityp. 105
Scale-Space Phase Singularitiesp. 119
Application to Natural Imagesp. 133
Summary and Discussionp. 151
App. A Reflectance Modelp. 157
App. B Proof of an n-D Uncertainty Relationp. 165
App. C Numerical Interpolation and Differentiation of R(x, t)p. 167
App. D Additional Experimentsp. 171
App. E Approximations to [actual symbol not reproducible]p. 181
App. F Derivations of z[subscript 1]p. 185
App. G Density Functions for [actual symbol not reproducible]p. 187
Bibliographyp. 191
Indexp. 201
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792391982
ISBN-10: 0792391985
Series: Kluwer International Series in Engineering & Computer Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 203
Published: 31st March 1992
Country of Publication: NL
Dimensions (cm): 24.28 x 16.1  x 1.83
Weight (kg): 0.5