1) I added a QwtPlotPicker, and it seems to work fine. But how can I get the picker selection (i.e. a rectangle or ellipsoid) to stay on the plot?
You have to implement a new type of QwtPlotItem, that displays your rectangle/ellipsoid. In YourPlotItem::draw use QwtPainter::drawRect/drawEllipse instead of QPainter::drawRect/Ellipse if you want to use QwtPlot::print.
2) how can I iterate through the points on my image to highlight those that are inside the picker selection?
Qt Code:
  1. QRect QwtPlotItem::transform(const QwtScaleMap &xMap,
  2. const QwtScaleMap &yMap, const QwtDoubleRect& rect) const
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Uwe