“平均"四元数? [英] "Average" of multiple quaternions?

问题描述

我正在尝试在OpenGL程序中将矩阵动画从矩阵转换为四元数，但是遇到了一个问题:

I'm trying to make the switch from matrices to quaternions for skeletal animation in my OpenGL program, but I've encountered a problem:

给定多个单位四元数，我需要得到一个四元数，当用于转换向量时，该四元数将给出一个向量，该向量是每个四元数分别转换后的向量的平均值. (对于矩阵，我只需将矩阵加在一起并除以矩阵数即可)

Given a number of unit quaternions, I need to get a quaternion that when used to transform a vector will give a vector that is the average of the vector transformed by each quaternion individually. (with matrices I would simply add the matrices together and divide by the number of matrices)

推荐答案

我尝试按照建议

I tried Slerping the quaternions as suggested here but that didn't work for what I'm trying to do (model was distorted), so I simply ended up transforming the vectors by each quaternion and then doing an average (until I can find a better solution).

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