ProteoWizard
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Mexican hat wavelet. More...
#include <mexhat.hpp>
Public Member Functions | |
Mexican_Hat (TReal mu, TReal sigma) | |
TReal | operator() (TReal x) |
operator | |
Protected Attributes | |
TReal | mu_ |
TReal | sigma_ |
Mexican hat wavelet.
\f{eqnarray*}{ T_1 &= {1 \over {\sqrt {2\pi}\sigma^3}}\\ T_2 &= \left( 1 - {t^2 \over \sigma^2} \right)\\ T_3 &= e^{-t^2 \over 2\sigma^2} \\ \psi(t) &= T_1 \cdot T_2 \cdot T_3 \f}
is the negative normalized second derivative of a Gaussian function. (Source Wikipedia.) (LoG) Laplace of Gaussian, with Laplace's operator having a (-1,2,-1) Kernel.
Definition at line 43 of file mexhat.hpp.
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mu | mean |
sigma | standard deviation |
Definition at line 45 of file mexhat.hpp.
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operator
Definition at line 53 of file mexhat.hpp.
References ralab::base::filter::utilities::Mexican_Hat< TReal >::mu_, ralab::constants::PI(), ralab::base::filter::utilities::Mexican_Hat< TReal >::sigma_, and x.
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Definition at line 62 of file mexhat.hpp.
Referenced by ralab::base::filter::utilities::Mexican_Hat< TReal >::operator()().
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Definition at line 63 of file mexhat.hpp.
Referenced by ralab::base::filter::utilities::Mexican_Hat< TReal >::operator()().