Find point on a trajectory nearest a point

Hello all,

I am trying to the point on a trajectory nearest a point. I have a trajectory called 'trajAP" (it is a a trejectory of euler angles paired with angular velcoity). For each point on trajAP there is a point p1 a certain distance away.

I am trying to find the point on trajAP that is the nearest to point, p1.

Ive tried our a handful of methods but nothing has worked. Any suggestions?

[James Tursa]

You need to tell us how you have trajAP represented in MATLAB. An equation? A set of points? Or ...?

What do you know about trajAP? Could there be many local minimums to p1, or would you expect only one minimum to p1?

[Adam Levschuk]

Hi James, trajAP is a set of points, a 2x12000 array. The top row is the position (angle), the bottom row is angular velcoity.

P1 is a set of points that is a defined distance away from each point in trajAP. for each point in trajAP, there is a point p1 that is 0.01 rad away.

For each p1, i am tryiung to find the nearest point on trajAP.

thanks for your help

[Matt J]

Well, you need to re-represent the trajectory (and p1) as a series of (x,y) position coordinates first. it doesn't seem to me that you have enough information in trajAP to do so.

[KSSV]

What p1 has? p1 also the same angle and angular velocity? If so have a look on knnsearch. IF not tell more about p1 or share data.