|
ProteoWizard
|
Mexican hat wavelet. More...
#include <mexhat.hpp>
Public Member Functions | |
| Mexican_Hat (TReal mu, TReal sigma) | |
| TReal | operator() (TReal x) |
| operator More... | |
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.
|
inline |
| mu | mean |
| sigma | standard deviation |
Definition at line 45 of file mexhat.hpp.
|
inline |
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.
|
protected |
Definition at line 62 of file mexhat.hpp.
Referenced by ralab::base::filter::utilities::Mexican_Hat< TReal >::operator()().
|
protected |
Definition at line 63 of file mexhat.hpp.
Referenced by ralab::base::filter::utilities::Mexican_Hat< TReal >::operator()().