> And for the smoother effect, the first derivative of each movement (panning and
zooming) should be contiguous. That's
 the hard part.

That's "The slopes should be equal at that point"   ;)

> (actually, the second derivative might also have to be continuous)

Yikes.   I'd really have to see that graphically to see where you're going with
that.

> *OR* you can just dive into spline for the location and angle.

Yes.  Or if it's a simple, short sequence, use a formula to zoom in, then slow
the zoom as the panning starts, and then smoothly transition to all (mostly)
panning.   "Plot a nice smooth curve, like a hyperbola."

OR -  if you have trouble with that, piece together a curve like you'd piece
together shapes with CSG, but using #if or #switch.   Zoom in with a straight
line, then transition to a circular or elliptical arc, then transition to
another straight line.

Welcome to the forums   :)

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