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H H. Nagel, "On a Constraint Equation for the Estimation of Displacement Rates in Image Sequences," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 11, no. 1, pp. 1330, January, 1989.  
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@article{ 10.1109/34.23110, author = {H H. Nagel}, title = {On a Constraint Equation for the Estimation of Displacement Rates in Image Sequences}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {11}, number = {1}, issn = {01628828}, year = {1989}, pages = {1330}, doi = {http://doi.ieeecomputersociety.org/10.1109/34.23110}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  On a Constraint Equation for the Estimation of Displacement Rates in Image Sequences IS  1 SN  01628828 SP13 EP30 EPD  1330 A1  H H. Nagel, PY  1989 KW  picture processing; image sequences; constraint equation; optical flow; real world scenes; image flow; perspective projection; differential geometry; Lambertian reflection; isotropic illumination; optical information processing; picture processing; radiometry VL  11 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
The commonly used constraint equation Delta g/sup T/u+g/sub t/=0 for the estimation of optical flow can only be justified by assumptions that are, in general, far too restrictive for image sequences of real world scenes. B.G. Schunck (1985, 86) recently argued that a constraint equation for the estimation of what he called image flow has to include a term containing the divergence of this image flow without presenting, however, a stringent derivation based on perspective projection from 3D scene space. The present author derives a constraint equation based on a combination of perspective projection and notions from differential geometry. In addition, he demonstrates the quantitive effects of taking into account radiometric considerations based on the use of Lambertian reflection properties and isotropic illumination in scene space.
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