Journal of the Visualization Society of Japan
Online ISSN : 1884-037X
Print ISSN : 0916-4731
ISSN-L : 0916-4731
On Calculation Schemes of Spatial Gradient for Spatio-temporal Derivative Method
Yasufumi YAMAMOTOYuya AKAMATSUNoriyoshi YONEHARATomomasa UEMURA
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2003 Volume 23 Issue Supplement1 Pages 21-24

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Abstract
Some calculation schemes of spatial gradient for spatio-temporal derivative method, which was used for sub pixel displacement detection, were evaluated. It was found that the second-order accurate central finite difference scheme tends to underestimate the gradient of tracer-particle's intensity, so that it leads to overestimation of sub-pixel displacements. In this study, upstream and downstream finite difference scheme was proposed and evaluated. It was shown that the proposed scheme has high accuracy and is robust to noise.
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