Rotating a 3D coordinate

Question

I need to rotate a single coordinate in WPF - C#.

The values x, y,z stored in GeometryModel3D[] points.

For example, coordinate(x, y, z) rotate at speficic-axis.

[UPDATE] Rotation transformation using quaternion. The problem are I don't get the new vector value and when I view the pointcloud, It seem drag away in Meshlab.

Matrix3D m = Matrix3D.Identity;
Quaternion q = new Quaternion(new Vector3D(320 / 2, y, maxDepth - minDepth), 90);
m.Rotate(q);
Vector3D myVectorToRotate = new Vector3D(((TranslateTransform3D)points[i].Transform).OffsetX,                        ((TranslateTransform3D)points[i].Transform).OffsetY,     ((TranslateTransform3D)points[i].Transform).OffsetZ);

m.Transform(myVectorToRotate);
pointcloud.Add(new Point3D(myVectorToRotate.X,myVectorToRotate.Y,myVectorToRotate.Z));

I'm still can't get the correct value transformation.

I want to apply rotation transformation for 2nd point cloud scanned from kinect. Since the 1st scan data don't involved rotation, the code for capture data and usage is like below:

for (int y = 0; y < 240; y += resolution)
{
    for (int x = 0; x < 320; x += resolution)
    {
        if (((TranslateTransform3D)points[i].Transform).OffsetZ >= minDepth
              && ((TranslateTransform3D)points[i].Transform).OffsetZ <= maxDepth)
        {
            pointcloud.Add(new Point3D(((TranslateTransform3D)points[i].Transform).OffsetX,                                                        ((TranslateTransform3D)points[i].Transform).OffsetY,                                              ((TranslateTransform3D)points[i].Transform).OffsetZ));
        }
        i++;
    }
}

Solution

Create any kind of matrix. For example a rotation matrix and then use the static method Vector.Multiply(...) See also this post and the MSDN general transformation overview.

Examples for Vector3D:

1. 3D transformation WPF

2. Rotate a vector by quaternion

   Vector3D v = new Vector3D(1.0, -1.0, 2.0);
   ...
   AxisAngleRotation3D axisAngle = new AxisAngleRotation3D(axis, angle);
   RotateTransform3D myRotateTransform = new RotateTransform3D(axisAngle, centerVector);
   v.Multiply(myRotateTransform);
   

Comments

[akuhero]

sorry, i still don't understand how to achieve the rotation using rotation matrix. Hope you can help by simple code :).

[sinelaw]

@akuhero, did you look at the stackoverflow link given by Matthias? There is a simple code sample over there

[akuhero]

@sinelaw, I did look but how to apply to a 3D vector?

[akuhero]

that why I can't solve it. I don't know how to form Matrix3D structure

[Matthias]

The links above are a good starting point. But I will edit and add some more links to Vector3D examples. But cool, that you are giving a down-vote instead of providing an answer.

[akuhero]

it's a good start (can not be denied). Tq for your feeds. Hope hear something from you soon.

[sinelaw]

@Matthias actually I didn't downvote - in fact I upvoted (PS deleted my previous comment since I see you've added 3D-related stuff)

[akuhero]

tq for update. When using quaternion, I don't know how to get the new point. [updated in question]

[akuhero]

Based on your example, I got an error at Multiply function.