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Invariance to change of intensity.

We present at figure 10 three linear changes of intensity applied to the first image Lizard, with respectively (a) initial image, (b) tex2html_wrap_inline1319 =0.4, tex2html_wrap_inline1321 =0.3, tex2html_wrap_inline1323 =0.3 and tex2html_wrap_inline1325 =0.1, tex2html_wrap_inline1327 =0.2, tex2html_wrap_inline1329 =0.3, (c) tex2html_wrap_inline1331 =0.5, tex2html_wrap_inline1333 =0.1, tex2html_wrap_inline1335 =0.2 and tex2html_wrap_inline1337 =0.2, tex2html_wrap_inline1339 =0.3, tex2html_wrap_inline1341 =0.0, (d) tex2html_wrap_inline1343 =0.1, tex2html_wrap_inline1345 =0.1, tex2html_wrap_inline1347 =0.1 and tex2html_wrap_inline1349 =0.9, tex2html_wrap_inline1351 =0.8 and tex2html_wrap_inline1353 =0.7. The figure 11 shows that it is really necessary to normalize the images before computing the feature vectors tex2html_wrap_inline1103 according to the model described at the equation 4. When the images are not normalized, we obtain approximately 10 tex2html_wrap_inline1033 of correct matches whereas the rate increases to 90 tex2html_wrap_inline1033 when the images are normalized using the method described at section 2.3. These matches have been obtain using the method of vector comparison described at section 4.1 and the relaxation technique introduced at section 4.2.

   figure415
Figure 10: Sequence Lizard with three changes of intensity. (a) initial image, (b) tex2html_wrap_inline1319 =0.4, tex2html_wrap_inline1321 =0.3, tex2html_wrap_inline1323 =0.3 and tex2html_wrap_inline1325 =0.1, tex2html_wrap_inline1327 =0.2, tex2html_wrap_inline1329 =0.3, (c) tex2html_wrap_inline1331 =0.5, tex2html_wrap_inline1333 =0.1, tex2html_wrap_inline1335 =0.2 and tex2html_wrap_inline1337 =0.2, tex2html_wrap_inline1339 =0.3, tex2html_wrap_inline1341 =0.0, (d) tex2html_wrap_inline1343 =0.1, tex2html_wrap_inline1345 =0.1, tex2html_wrap_inline1347 =0.1 and tex2html_wrap_inline1349 =0.9, tex2html_wrap_inline1351 =0.8 and tex2html_wrap_inline1353 =0.7.

   figure458
Figure 11: Results of matching on the sequence Lizard with three changes of intensity according to our model. The local normalization of the images has been processed using a window of 21 pixels width.



Philippe Montesinos
Wed Jun 2 18:06:30 MET DST 1999