All geek questions in one place

Orientation of a trajectory path object

I have a spaceship in a 3D environment. I drew a B-spline curve using control points (converted to a Bezier curve to be able to draw). Each time a drawing event is triggered, the vessel is at the point (0,0,0) and is transferred to the next coordinate on the curve. Now, before doing this translation, I will need to make a turn so that the orientation of the vessel is along the tangent of the curve at this point.

I can approximate the tangent by finding a point on the curve that is next to the current one by doing this. I am using OpenGL in C ++

float mDifference[1][3] = {nearPoint[0][0] - currentPosition[0][0],
                           nearPoint[0][1] - currentPosition[0][1],
                           nearPoint[0][2] - currentPosition[0][2]};

float norm = sqrt(mDifference[0][0] * mDifference[0][0] 
             + mDifference[0][1] * mDifference[0][1]
             + mDifference[0][2] * mDifference[0][2]);

float tangent[1][3] = { mDifference[0][0] / norm,
                        mDifference[0][1] / norm,
                        mDifference[0][2] / norm};

//tangent = rotationVector?
spacecraftTransformGroup->setRotationVector(tangent[0][0],tangent[0][1],tangent[0][2]);

I think that the rotation vector is tangent, but cannot find the angle needed to rotate the ship. How can I rotate a ship to align it with a tangent?

+3
2

(.. ) :

, Tangent, BiTangent ( ).

, , , (D, T, B) (P)

 Tx, Bx, Dx, Px
 Ty, By, Dy, Py
 Tz, Bz, Dz, Pz
  0,  0,  0,  1

...

+2

, . B-Spline.

-, atan(y/x) ( ) . , , "" , x.

+1

Source: https://habr.com/ru/post/1778421/

More articles:


All Articles