To create a scale space, I applied a Laplacian of Gaussian filter on the following image:
After the scale space was created, I plotted circles around local maxima in scale space. However, instead of $9$ circles, I got many more as shown below(image below not to scale).
The following video shows the LoG filter responses as scale is varied from $\sigma=1$ to $16$ in steps of $0.01$ -- http://youtu.be/m4LyXBI_6w0
It shows additional maxima being created at higher scales. But this should not be the case since LoG was especially chosen so as not to create additional maxima. What could be the explanation here ?
NOTE: Thresholding the magnitude of scale space responses eliminates the additional maxima as shown below. Could it be that the additional maxima being absent holds only up to a certain degree ?