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digikam/digikam/imageplugins/perspective/matrix.cpp

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/* ============================================================
*
* This file is a part of digiKam project
* http://www.digikam.org
*
* Date : 2005-02-17
* Description : a matrix implementation for image
* perspective adjustment.
*
* Copyright (C) 2005-2007 by Gilles Caulier <caulier dot gilles at gmail dot com>
* Copyright (C) 2006-2007 by Marcel Wiesweg <marcel dot wiesweg at gmx dot de>
*
* Matrix3 implementation inspired from gimp 2.0
* Copyright (C) 1995 Spencer Kimball and Peter Mattis
*
* This program is free software; you can redistribute it
* and/or modify it under the terms of the GNU General
* Public License as published by the Free Software Foundation;
* either version 2, or (at your option)
* any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* ============================================================ */
// C++ includes.
#include <cstring>
// Local includes.
#include "matrix.h"
namespace DigikamPerspectiveImagesPlugin
{
static double identityMatrix[3][3] = { { 1.0, 0.0, 0.0 },
{ 0.0, 1.0, 0.0 },
{ 0.0, 0.0, 1.0 } };
Matrix::Matrix()
{
memcpy(coeff, identityMatrix, sizeof(coeff));
}
void Matrix::translate (double x, double y)
{
double g, h, i;
g = coeff[2][0];
h = coeff[2][1];
i = coeff[2][2];
coeff[0][0] += x * g;
coeff[0][1] += x * h;
coeff[0][2] += x * i;
coeff[1][0] += y * g;
coeff[1][1] += y * h;
coeff[1][2] += y * i;
}
void Matrix::scale(double x, double y)
{
coeff[0][0] *= x;
coeff[0][1] *= x;
coeff[0][2] *= x;
coeff[1][0] *= y;
coeff[1][1] *= y;
coeff[1][2] *= y;
}
void Matrix::multiply(const Matrix &matrix)
{
int i, j;
Matrix tmp;
double t1, t2, t3;
for (i = 0; i < 3; i++)
{
t1 = matrix.coeff[i][0];
t2 = matrix.coeff[i][1];
t3 = matrix.coeff[i][2];
for (j = 0; j < 3; j++)
{
tmp.coeff[i][j] = t1 * coeff[0][j];
tmp.coeff[i][j] += t2 * coeff[1][j];
tmp.coeff[i][j] += t3 * coeff[2][j];
}
}
*this = tmp;
}
void Matrix::transformPoint(double x, double y, double *newx, double *newy) const
{
double w;
w = coeff[2][0] * x + coeff[2][1] * y + coeff[2][2];
if (w == 0.0)
w = 1.0;
else
w = 1.0/w;
*newx = (coeff[0][0] * x +
coeff[0][1] * y +
coeff[0][2]) * w;
*newy = (coeff[1][0] * x +
coeff[1][1] * y +
coeff[1][2]) * w;
}
void Matrix::invert()
{
Matrix inv;
double det;
det = determinant();
if (det == 0.0)
return;
det = 1.0 / det;
inv.coeff[0][0] = (coeff[1][1] * coeff[2][2] -
coeff[1][2] * coeff[2][1]) * det;
inv.coeff[1][0] = - (coeff[1][0] * coeff[2][2] -
coeff[1][2] * coeff[2][0]) * det;
inv.coeff[2][0] = (coeff[1][0] * coeff[2][1] -
coeff[1][1] * coeff[2][0]) * det;
inv.coeff[0][1] = - (coeff[0][1] * coeff[2][2] -
coeff[0][2] * coeff[2][1]) * det;
inv.coeff[1][1] = (coeff[0][0] * coeff[2][2] -
coeff[0][2] * coeff[2][0]) * det;
inv.coeff[2][1] = - (coeff[0][0] * coeff[2][1] -
coeff[0][1] * coeff[2][0]) * det;
inv.coeff[0][2] = (coeff[0][1] * coeff[1][2] -
coeff[0][2] * coeff[1][1]) * det;
inv.coeff[1][2] = - (coeff[0][0] * coeff[1][2] -
coeff[0][2] * coeff[1][0]) * det;
inv.coeff[2][2] = (coeff[0][0] * coeff[1][1] -
coeff[0][1] * coeff[1][0]) * det;
*this = inv;
}
double Matrix::determinant() const
{
double determinant;
determinant = (coeff[0][0] *
(coeff[1][1] * coeff[2][2] -
coeff[1][2] * coeff[2][1]));
determinant -= (coeff[1][0] *
(coeff[0][1] * coeff[2][2] -
coeff[0][2] * coeff[2][1]));
determinant += (coeff[2][0] *
(coeff[0][1] * coeff[1][2] -
coeff[0][2] * coeff[1][1]));
return determinant;
}
} // namespace DigikamPerspectiveImagesPlugin