0
$\begingroup$

I have 3 perpendicular vectors representing an object in 3d space...

Heading Right Up 

...and I would like to be able to 'fly' this object so that it ends up at a specific point and heading using only roll and pitch (no yaw) so that the object follows a smooth flightpath.

This is for spaceship AI.

  • 2
    I think you need to add a little more detail. What are the dynamics of the object?2012-04-27
  • 0
    Your question is, in mathematical terms, more or less: «given points $A$ and $B$ and orthonormal ordered bases $O_A$ and $O_B$, how do I find a curve going from $A$ to $B$ such that at each of those points its Frenet frame is $O_A$ and $O_B$, respectively, and which is made up of Bezier segments?»2012-04-30
  • 0
    (There are many such curves, so you'd need to add further conditions to make the problem better-posed.)2012-04-30

1 Answers 1