LVector LTransform::operator*(const LVector rhs) const
{
if (_orderIn != rhs.getOrder())
FormatAndThrow<>()
<< "Order mismatch between LTransform [" << _orderIn
<< "] and LVector [" << rhs.getOrder()
<< "]";
boost::shared_ptr<tmv::Vector<double> > out(new tmv::Vector<double>(sizeOut()));
*out = (*_m) * rhs.rVector();
return LVector(_orderOut, out);
}
void ShapeletFitImage(double sigma, LVector& bvec, const BaseImage<T>& image,
double image_scale, const Position<double>& center)
{
// TODO: It would be nice to be able to fit this with an arbitrary WCS to fit in
// sky coordinates. For now, just use the image_scale.
dbg<<"Start ShapeletFitImage:\n";
xdbg<<"sigma = "<<sigma<<std::endl;
xdbg<<"bvec = "<<bvec<<std::endl;
xdbg<<"center = "<<center<<std::endl;
double scale = image_scale / sigma;
xdbg<<"scale = "<<scale<<std::endl;
const int nx = image.getXMax() - image.getXMin() + 1;
const int ny = image.getYMax() - image.getYMin() + 1;
xdbg<<"nx,ny = "<<nx<<','<<ny<<std::endl;
const int npts = nx * ny;
xdbg<<"npts = "<<npts<<std::endl;
tmv::Vector<double> x(npts);
tmv::Vector<double> y(npts);
tmv::Vector<double> I(npts);
int i=0;
for (int ix = image.getXMin(); ix <= image.getXMax(); ++ix) {
for (int iy = image.getYMin(); iy <= image.getYMax(); ++iy,++i) {
x[i] = (ix - center.x) * scale;
y[i] = (iy - center.y) * scale;
I[i] = image(ix,iy);
}
}
xxdbg<<"x = "<<x<<std::endl;
xxdbg<<"y = "<<y<<std::endl;
xxdbg<<"I = "<<I<<std::endl;
tmv::Matrix<double> psi(npts,bvec.size());
LVector::basis(x.view(),y.view(),psi.view(),bvec.getOrder(),sigma);
// I = psi * b
// TMV solves this by writing b = I/psi.
// We use QRP in case the psi matrix is close to singular (although it shouldn't be).
psi.divideUsing(tmv::QRP);
bvec.rVector() = I/psi;
xdbg<<"Done FitImage: bvec = "<<bvec<<std::endl;
}
