三维中 Yaw, pitch and roll 的区分(图片)

本文详细解释了三维空间中Yaw, Pitch和Roll的区别,并通过图表展示其概念,帮助读者更好地理解和应用这些旋转角度。

摘要生成于 C知道 ,由 DeepSeek-R1 满血版支持, 前往体验 >

三维中 Yaw, pitch and roll 的区分(图片)

三维中 Yaw, pitch and roll

 

 yaw  pitch     roll旋转

           yaw 旋转                                         pitch旋转                             roll旋转

### 3D Space XYZ Roll Yaw Pitch Explanation and Usage In three-dimensional (3D) space, objects' orientation and rotation are often described through a set of angles known as Euler angles: roll, yaw, and pitch. These terms define rotations around specific axes: - **Roll**: Rotation about the X-axis. - **Yaw**: Rotation about the Z-axis. - **Pitch**: Rotation about the Y-axis. These angles provide an intuitive way to describe changes in orientation but may not always offer computational efficiency for interpolations between orientations[^1]. For instance, when describing transformations in robotics, while humans find it easier to conceptualize movements via roll, yaw, and pitch due to their direct relation with physical motions, robots typically use alternative representations such as rotation vectors for smoother transitions during movement calculations. A rotation vector represents both direction and magnitude of rotation compactly; however, interpreting its meaning without conversion into more familiar angular measures can be challenging especially under combined multi-axis rotations where deviations increase significantly compared to single-axis scenarios. #### Example Code Demonstrating Conversion Between Representations Below is Python code demonstrating how one might convert between these different forms within a robotic application context: ```python import numpy as np from scipy.spatial.transform import Rotation as R def euler_to_rotation_vector(roll, pitch, yaw): r = R.from_euler('xyz', [roll, pitch, yaw], degrees=True) return r.as_rotvec() def rotation_vector_to_euler(rot_vec): r = R.from_rotvec(rot_vec) return r.as_euler('xyz', degrees=True) # Convert from Euler Angles to Rotation Vector rot_vec = euler_to_rotation_vector(90, 45, 30) print(f"Rotation Vector: {rot_vec}") # Convert back from Rotation Vector to Euler Angles eulers = rotation_vector_to_euler(rot_vec) print(f"Euler Angles: {eulers}") ``` This example uses SciPy's `spatial.transform.Rotation` class to facilitate conversions between Euler angle sets and rotation vectors, showcasing practical utility across various applications including computer graphics and robotics. --related questions-- 1. How do quaternions compare against Euler angles regarding representation stability? 2. What challenges arise when implementing inverse kinematics solutions involving multiple jointed structures? 3. Can you explain why certain navigation systems prefer quaternion-based attitude descriptions over traditional Euler methods? 4. In what situations would using axis-angle notation instead of Euler angles improve performance or accuracy?
评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值