Diffusion constructs in optical flow computation

Joan V. Condell; Bryan W. Scotney; Philip J. Morrow

doi:10.1117/1.2039091

1 July 2005 Diffusion constructs in optical flow computation

Joan V. Condell, Bryan W. Scotney, Philip J. Morrow

Author Affiliations +

Journal of Electronic Imaging, Vol. 14, Issue 3, 033008 (July 2005). https://doi.org/10.1117/1.2039091

Abstract

We develop techniques for the implementation of motion estimation. Optical flow estimation has been proposed as a preprocessing step for many high-level vision algorithms. Gradient-based approaches compute the spatio-temporal derivatives, differentiating the image with respect to time and thus computing the optical flow field. Horn and Schunck's method in particular is considered a benchmarking algorithm of gradient-based differential methods, useful and powerful, yet simple and fast. They formulated an optical flow constraint equation from which to compute optical flow, which cannot fully determine the flow but can give the component of the flow in the direction of the intensity gradient. An additional constraint must be imposed, introducing a supplementary assumption to ensure a smooth variation in the flow across the image. The brightness derivatives involved in the equation system were estimated by Horn and Schunck using first differences averaging. Gradient-based methods for optical flow computation can suffer from unreliability of the image flow constraint equation in areas of an image where local brightness function is nonlinear or where there are rapid spatial or temporal changes in the intensity function. Little and Verri suggested regularization to help the numerical stability of the solution. Usually this takes the form of smoothing of the function or surface by convolving before the derivative is taken. Smoothing has the effects of suppressing noise and ensuring differentiability of discontinuities. The method proposed is a finite element method, based on a triangular mesh, in which diffusion is added into the system of equations.

©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Joan V. Condell, Bryan W. Scotney, and Philip J. Morrow "Diffusion constructs in optical flow computation," Journal of Electronic Imaging 14(3), 033008 (1 July 2005). https://doi.org/10.1117/1.2039091

Published: 1 July 2005

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $24.00

Non-members: $28.00 ADD TO CART

JOURNAL ARTICLE
18 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Diffusion

Tolerancing

Chemical elements

Optical flow

Image processing

Error analysis

Motion estimation

Show All Keywords

Keywords/Phrases

Search In:

Publication Years