Difference of Gaussians

Die Difference of Gaussian(s) iss en Wavelet Function ass kummt neehr zu de Mexican Hat Wavelet in sellem ass sie subtract-e en breet Gaussian vun me enge Gaussian, so wie es defined iss bei dem Formula:

${\displaystyle f(x;\mu 1,\sigma _{1},\sigma _{2})={\frac {1}{\sigma _{1}{\sqrt {2\pi }}}}\,\exp \left(-{\frac {(x-\mu )^{2}}{2\sigma _{1}^{2}}}\right)-{\frac {1}{\sigma _{2}{\sqrt {2\pi }}}}\,\exp \left(-{\frac {(x-\mu )^{2}}{2\sigma _{2}^{2}}}\right).}$

Pikder sinn oftmols convolved mit dem Function wie en Deel Ddge Detection Algorithm mit em same Naame.