Corresponding Relationship Between Euler Angles and Quaternions
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As widely recognized, Euler angles and quaternions have a corresponding relationship. Euler angles represent the orientation of an object relative to a reference frame using three rotation angles, but they suffer from gimbal lock issues—a phenomenon where calculations encounter singularities in certain configurations. In contrast, quaternions excel in rotation operations. Quaternions not only eliminate gimbal lock problems but also provide higher precision and computational simplicity. Consequently, quaternions are extensively applied in fields such as navigation and robotics. From a code perspective, quaternion operations typically involve functions for normalization, multiplication, and conversion to rotation matrices, ensuring stable and efficient 3D transformations without trigonometric singularities.
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