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121 lines
3.0 KiB
C++
121 lines
3.0 KiB
C++
#include "projection.h"
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#include "matrix.h"
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#include "transform.h"
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#define NULL_QTRANSFORM 0,0,0,0,0,0,0,0,0
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void Transform::simple(const ReferencePoint &p1, const ReferencePoint &p2)
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{
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if (p1.xy().x() == p2.xy().x() || p1.xy().y() == p2.xy().y()) {
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_errorString = "Invalid reference points tuple";
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return;
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}
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double sX = (p1.xy().x() - p2.xy().x()) / (p1.pp().x() - p2.pp().x());
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double sY = (p2.xy().y() - p1.xy().y()) / (p2.pp().y() - p1.pp().y());
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double dX = p2.xy().x() - p2.pp().x() * sX;
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double dY = p1.xy().y() - p1.pp().y() * sY;
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_proj2img = QTransform(sX, 0, 0, sY, dX, dY);
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_img2proj = _proj2img.inverted();
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}
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void Transform::affine(const QList<ReferencePoint> &points)
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{
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Matrix c(3, 2);
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c.zeroize();
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for (size_t i = 0; i < c.h(); i++) {
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for (size_t j = 0; j < c.w(); j++) {
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for (int k = 0; k < points.size(); k++) {
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double f[3], t[2];
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f[0] = points.at(k).pp().x();
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f[1] = points.at(k).pp().y();
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f[2] = 1.0;
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t[0] = points.at(k).xy().x();
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t[1] = points.at(k).xy().y();
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c.m(i,j) += f[i] * t[j];
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}
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}
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}
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Matrix Q(3, 3);
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Q.zeroize();
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for (int qi = 0; qi < points.size(); qi++) {
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double v[3];
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v[0] = points.at(qi).pp().x();
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v[1] = points.at(qi).pp().y();
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v[2] = 1.0;
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for (size_t i = 0; i < Q.h(); i++)
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for (size_t j = 0; j < Q.w(); j++)
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Q.m(i,j) += v[i] * v[j];
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}
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Matrix M = Q.augemented(c);
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if (!M.eliminate()) {
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_errorString = "Singular transformation matrix";
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return;
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}
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_proj2img = QTransform(M.m(0,3), M.m(0,4), M.m(1,3), M.m(1,4), M.m(2,3),
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M.m(2,4));
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_img2proj = _proj2img.inverted();
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}
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Transform::Transform()
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: _proj2img(NULL_QTRANSFORM), _img2proj(NULL_QTRANSFORM)
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{
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}
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Transform::Transform(const QList<ReferencePoint> &points)
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: _proj2img(NULL_QTRANSFORM), _img2proj(NULL_QTRANSFORM)
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{
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if (points.count() < 2)
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_errorString = "Insufficient number of reference points";
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else if (points.size() == 2)
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simple(points.at(0), points.at(1));
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else
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affine(points);
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}
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Transform::Transform(const ReferencePoint &p1, const ReferencePoint &p2)
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: _proj2img(NULL_QTRANSFORM), _img2proj(NULL_QTRANSFORM)
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{
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simple(p1, p2);
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}
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Transform::Transform(const ReferencePoint &p, const PointD &scale)
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: _proj2img(NULL_QTRANSFORM), _img2proj(NULL_QTRANSFORM)
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{
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if (scale.x() == 0.0 || scale.y() == 0.0) {
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_errorString = "Invalid scale factor";
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return;
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}
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_img2proj = QTransform(scale.x(), 0, 0, -scale.y(), p.pp().x() - p.xy().x()
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/ scale.x(), p.pp().y() + p.xy().x() / scale.y());
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_proj2img = _img2proj.inverted();
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}
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Transform::Transform(double matrix[16])
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: _proj2img(NULL_QTRANSFORM), _img2proj(NULL_QTRANSFORM)
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{
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_img2proj = QTransform(matrix[0], matrix[1], matrix[4], matrix[5],
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matrix[3], matrix[7]);
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if (!_img2proj.isInvertible())
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_errorString = "Singular transformation matrix";
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else
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_proj2img = _img2proj.inverted();
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}
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#ifndef QT_NO_DEBUG
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QDebug operator<<(QDebug dbg, const ReferencePoint &p)
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{
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dbg.nospace() << "ReferencePoint(" << p.xy() << ", " << p.pp() << ")";
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return dbg.space();
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}
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#endif // QT_NO_DEBUG
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