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11-18-2000, 06:55 PM
Hi all,
I have a path on which I want my object to move. I have generated the path using splines. I have all the points that are used to generate the path in a variable say point[count].
I have the following questions:
1) If i want to calculate the tangent at any point how do i do it?
2)How do i calculate the velocity and acceleration at any given point??

can you point me to any resources on the web the above information. Any sort of information will be appreciated.
Thanx
-prasad-

DFrey
11-19-2000, 04:35 AM
1) To find the tangent of a piecewise smooth curve that defines a path, the tangent of the path at any point on the path, x, but not on a point in the set that defines the path, is simply the unit vector parallel to the line segment from point p1 to p2 and x is on that line segment. If x=p1 or x=p2, then it is customary to use the average tanget of the two segments the point straddles. Note: If the spline can be defined by a continuous parameterization s(t), then the tangent T(t)=s'(t)/|s'(t)|.

2) Assuming count is a function of time, then the velocity is just the first time derivative and the acceleration is just the first time derivative of the velocity.



[This message has been edited by DFrey (edited 11-19-2000).]