rotational-matrices

I need to extract the roll pitch yaw angles from a rotation matrix and I want to be sure that what I do is correct. Eigen::Matrix< simFloat, 3, 1> rpy = orientation.toRotationMatrix().eulerAngles(0,1,2); const double r = ((double)rpy(0)); const double p = ((double)rpy(1)); const double y = ((double)rpy(2)); Is that correct? Because I was reading here: http://eigen.tuxfamily.org/dox/group__Geometry__Module.html#gad118fececd448d7485ffea4858775e5a And I was a bit confused when it says, at the end of the description, in which intervals are defined the angles. TSL_ I think this is what you are

In get rotation matrix value it contains public static boolean getRotationMatrix (float[] R, float[] I, float[] gravity, float[] geomagnetic) Here how can i calculate the float[] gravity ? I found a sample of code where it calculate the orientation using both Accelerometer and Magnetic field boolean success = SensorManager.getRotationMatrix( matrixR, matrixI, valuesAccelerometer, valuesMagneticField); if(success){ SensorManager.getOrientation(matrixR, matrixValues); double azimuth = Math.toDegrees(matrixValues[0]); double pitch = Math.toDegrees(matrixValues[1]); double roll = Math.toDegrees

I have a sensor manager that returns a rotationMatrix based on the devices Magnetometer and Accelerometer. I have been trying to also calculate the yaw pitch and roll of the user's device but am finding that pitch and roll interfere with each other and give inaccurate results. Is there a way to extract YAW PITCH and ROLL of a device from the rotationMatrix ? EDIT Trying to interpret blender's answer below, which i am thankful for but not quite there yet, i am trying to get the angle from a rotaion matrix like this: float R[] = phoneOri.getMatrix(); double rmYaw = Math.atan2(R[4], R[0]); double

So I nearly implemented a free-flight camera using vectors and something like gluLookAt. The movement in all 4 directions and rotation around the Y-axis work fine. For the rotation around the Y-axis I calculate the vector between the eye and center vector and then rotate it with the rotation matrix like this: Vector temp = vecmath.vector(center.x() - eye.x(), center.y() - eye.y(), center.z() - eye.z()); float vecX = (temp.x()*(float) Math.cos(-turnSpeed)) + (temp.z()* (float)Math.sin(-turnSpeed)); float vecY = temp.y(); float vecZ = (temp.x()*(float) -Math.sin(-turnSpeed))+ (temp.z()*(float

I'm having a bit of trouble understanding how axis-angle rotation vectors are used when rotating a vector in 3D space. Why are these used and how do these relate to rotation matrices? I also found a function called vrrotvec2mat that seems to do what I want but I can't understand the documentation. Specifically, can someone give a more clear explanation (with some example) of the input arguments r and options ? MathWorks explanations are very limited, as follows: Convert rotation from axis-angle to matrix representation m = vrrotvec2mat(r) returns a matrix representation of the rotation defined

After multiplying a lot of rotation matrices, the end result might not be a valid rotation matrix any more, due to rounding issues (de-orthogonalized) One way to re-orthogonalize is to follow these steps: Convert the rotation matrix to an axis-angle representation ( link ) Convert back the axis-angle to a rotation matrix ( link ) Is there something in Eigen library that does the same thing by hiding all the details? Or is there any better recipe? This procedure has to be handled with care due to special singularity cases, so if Eigen provides a better tool for this it would be great. I don't

I know the transformation matrices for rotation, scaling, translation etc. I also know the matrix for shear transformation. Now, I need to have the shear matrix-- [1 Sx 0] [0 1 0] [0 0 1] in the form of a combination of other aforesaid transformations . Tried searching, tried brainstorming, but unable to strike! Thanks! Kunal S. Kushwah The x-shear operation for a shearing angle theta reduces to rotations and scaling as follows: (a) Rotate by theta/2 counter-clockwise. (b) Scale with x-scaling factor = sin(theta/2) and y-scaling factor = cos(theta/2) . (c) Rotate by 45 degree clockwise. (d)