// Copyright (C) 2011 Davis E. King (davis@dlib.net) // License: Boost Software License See LICENSE.txt for the full license. #undef DLIB_MATRIx_CONV_ABSTRACT_Hh_ #ifdef DLIB_MATRIx_CONV_ABSTRACT_Hh_ #include "matrix_abstract.h" namespace dlib { // ---------------------------------------------------------------------------------------- const matrix_exp conv ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the convolution of m1 with m2. In particular, this function is equivalent to performing the following in matlab: R = conv2(m1,m2). - R::type == the same type that was in m1 and m2. - R.nr() == m1.nr()+m2.nr()-1 - R.nc() == m1.nc()+m2.nc()-1 !*/ // ---------------------------------------------------------------------------------------- const matrix_exp xcorr ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the cross-correlation of m1 with m2. In particular, this function returns conv(m1,flip(m2)) if the matrices contain real elements and conv(m1,flip(conj(m2))) if they are complex. - R::type == the same type that was in m1 and m2. - R.nr() == m1.nr()+m2.nr()-1 - R.nc() == m1.nc()+m2.nc()-1 !*/ // ---------------------------------------------------------------------------------------- const matrix_exp xcorr_fft ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type - m1 and m2 contain real or complex values and must be double, float, or long double valued. (e.g. not integers) ensures - This function is identical to xcorr() except that it uses a fast Fourier transform to do the convolution and is therefore much faster when both m1 and m2 are large. !*/ // ---------------------------------------------------------------------------------------- const matrix_exp conv_same ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the convolution of m1 with m2. In particular, this function is equivalent to performing the following in matlab: R = conv2(m1,m2,'same'). In particular, this means the result will have the same dimensions as m1 and will contain the central part of the full convolution. Therefore, conv_same(m1,m2) is equivalent to subm(conv(m1,m2), m2.nr()/2, m2.nc()/2, m1.nr(), m1.nc()). - R::type == the same type that was in m1 and m2. - R.nr() == m1.nr() - R.nc() == m1.nc() !*/ // ---------------------------------------------------------------------------------------- const matrix_exp xcorr_same ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the cross-correlation of m1 with m2. In particular, this function returns conv_same(m1,flip(m2)) if the matrices contain real elements and conv_same(m1,flip(conj(m2))) if they are complex. - R::type == the same type that was in m1 and m2. - R.nr() == m1.nr() - R.nc() == m1.nc() !*/ // ---------------------------------------------------------------------------------------- const matrix_exp conv_valid ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the convolution of m1 with m2. In particular, this function is equivalent to performing the following in matlab: R = conv2(m1,m2,'valid'). In particular, this means only elements of the convolution which don't require zero padding are included in the result. - R::type == the same type that was in m1 and m2. - if (m1 has larger dimensions than m2) then - R.nr() == m1.nr()-m2.nr()+1 - R.nc() == m1.nc()-m2.nc()+1 - else - R.nr() == 0 - R.nc() == 0 !*/ // ---------------------------------------------------------------------------------------- const matrix_exp xcorr_valid ( const matrix_exp& m1, const matrix_exp& m2 ); /*! requires - m1 and m2 both contain elements of the same type ensures - returns a matrix R such that: - R is the cross-correlation of m1 with m2. In particular, this function returns conv_valid(m1,flip(m2)) if the matrices contain real elements and conv_valid(m1,flip(conj(m2))) if they are complex. - R::type == the same type that was in m1 and m2. - if (m1 has larger dimensions than m2) then - R.nr() == m1.nr()-m2.nr()+1 - R.nc() == m1.nc()-m2.nc()+1 - else - R.nr() == 0 - R.nc() == 0 !*/ // ---------------------------------------------------------------------------------------- } #endif // DLIB_MATRIx_CONV_ABSTRACT_Hh_