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I'm currently working on an imaging problem that oddly requires some physics. Basically, I'm given a set of gray scale pixels and I have to determine whether they're a fiber or just random noise. My question is, how do I calculate the moment of inertia of the pixels while considering their gray scale value? I know how to calculate a uniform moment of inertia ([tex]\sum r^{2}[/tex]), but not when I have to consider discrete, non uniform weights to each pixel.

A continuation of that part is, how might I quantize the "blob-iness" of the pixels? A professor suggested finding the eigenvalues of the inertial matrix [m_x m_xy; m_xy m_y], but I'm not entirely sure what the eigenvalues end up representing. Any ideas?

Thanks!

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# Moments of inertia in image processing

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