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您好，我有一疑问，5.4节中双倍覆盖带来的问题，q1和-q1是同一个向量而图示中-q1和q1却是相反的向量，这样是不是有问题？应该描述为一个小于180度的角度和大于180度的角度是吗？ about quaternion HOT 1 CLOSED

krasjet commented on August 17, 2024

您好，我有一疑问，5.4节中双倍覆盖带来的问题，q1和-q1是同一个向量而图示中-q1和q1却是相反的向量，这样是不是有问题？应该描述为一个小于180度的角度和大于180度的角度是吗？

from quaternion.

Comments (1)

Krasjet commented on August 17, 2024

q1 和 -q1 是同一个（4D）向量 ✗
q1 和 -q1 所作出的旋转变换是等价的 ✔

q0 和 q1 （作为4D向量）的夹角是 2θ ✗
q0 和 q1 对同一个向量 v 作出旋转变换之后所得的向量 v0 和 v1 之间的夹角是 2θ ✔

from quaternion.

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