euler angle to rotation vector python

import math
import numpy as np

# RPY/Euler angles to Rotation Vector
def euler_to_rotVec(yaw, pitch, roll):
    # compute the rotation matrix
    Rmat = euler_to_rotMat(yaw, pitch, roll)
    
    theta = math.acos(((Rmat[0, 0] + Rmat[1, 1] + Rmat[2, 2]) - 1) / 2)
    sin_theta = math.sin(theta)
    if sin_theta == 0:
        rx, ry, rz = 0.0, 0.0, 0.0
    else:
        multi = 1 / (2 * math.sin(theta))
        rx = multi * (Rmat[2, 1] - Rmat[1, 2]) * theta
        ry = multi * (Rmat[0, 2] - Rmat[2, 0]) * theta
        rz = multi * (Rmat[1, 0] - Rmat[0, 1]) * theta
    return rx, ry, rz

def euler_to_rotMat(yaw, pitch, roll):
    Rz_yaw = np.array([
        [np.cos(yaw), -np.sin(yaw), 0],
        [np.sin(yaw),  np.cos(yaw), 0],
        [          0,            0, 1]])
    Ry_pitch = np.array([
        [ np.cos(pitch), 0, np.sin(pitch)],
        [             0, 1,             0],
        [-np.sin(pitch), 0, np.cos(pitch)]])
    Rx_roll = np.array([
        [1,            0,             0],
        [0, np.cos(roll), -np.sin(roll)],
        [0, np.sin(roll),  np.cos(roll)]])
    # R = RzRyRx
    rotMat = np.dot(Rz_yaw, np.dot(Ry_pitch, Rx_roll))
    return rotMat

roll = 2.6335
pitch = 0.4506
yaw = 1.1684

print "roll = ", roll
print "pitch = ", pitch
print "yaw = ", yaw
print ""

rx, ry, rz = euler_to_rotVec(yaw, pitch, roll)

print rx, ry, rz


Are there any code examples left?
Create a Free Account
Unlock the power of data and AI by diving into Python, ChatGPT, SQL, Power BI, and beyond.
Sign up
Develop soft skills on BrainApps
Complete the IQ Test
Made with love
This website uses cookies to make IQCode work for you. By using this site, you agree to our cookie policy

Welcome Back!

Sign up to unlock all of IQCode features:
  • Test your skills and track progress
  • Engage in comprehensive interactive courses
  • Commit to daily skill-enhancing challenges
  • Solve practical, real-world issues
  • Share your insights and learnings
Create an account
Sign in
Recover lost password
Or log in with

Create a Free Account

Sign up to unlock all of IQCode features:
  • Test your skills and track progress
  • Engage in comprehensive interactive courses
  • Commit to daily skill-enhancing challenges
  • Solve practical, real-world issues
  • Share your insights and learnings
Create an account
Sign up
Or sign up with
By signing up, you agree to the Terms and Conditions and Privacy Policy. You also agree to receive product-related marketing emails from IQCode, which you can unsubscribe from at any time.
Creating a new code example
Code snippet title
Source