Kinematics Interpolation

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BOCCARA Michael (MICHAEL.BOCCARA++at++siege.aerospatiale.fr)
Thu, 23 Oct 1997 16:25:09 +0200

  Hi all,
This question is not especifically a pf one, but a general 3D animation
question.

I know the following input space-time data :
at time t1 : x1, y1, z1, vx1, vy1, vz1
at time t2 : x2, y2, z2, vx2, vy2, vz2

I want the interpolated : x, y, z for time t, where t1 <= t < t2
The path should obviously be smooth and derivable.

I know this may be a cubic spline (4 constraints), or something like that,
but I would like to get a good formula, without re-inventing the wheel...

the pfuPath utilities does not convince me, because it is working with a set
of lines and fillets, while I am working with a discrete set of points and
speeds. But maybe there is a simple way to convert my input data given above,
into pfuPath input lines-arcs data...

Thanks
Mike

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