An invertible linear transform which transforms an image into an energy field by treating the pixels as an array of particles that act as the source of a Gaussian potential energy field. It is assumed that there is a spherically symmetrical potential energy field generated by each pixel, so that \( E({\bf{r}}_j ) \) is the total potential energy imparted to a pixel of unit intensity at the pixel location with position vector \( {\bf{r}}_j \) by the energy fields of remote pixels with position vectors \( {\bf{r}}_i \) and pixel intensities \( P({\bf{r}}_i ) \), and is given by the scalar summation,
To calculate the energy field for the entire image, Eq. 10 should be applied at every pixel position. For efficiency this is calculated in the frequency domain using Eq. 11 where \( \Im \) stands for FFT and \( \Im...
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(2009). Potential Energy Transform. In: Li, S.Z., Jain, A. (eds) Encyclopedia of Biometrics. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-73003-5_548
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DOI: https://doi.org/10.1007/978-0-387-73003-5_548
Publisher Name: Springer, Boston, MA
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