MAN, LIKE THESE ATTITUDES ARE TOTALLY RANDOM! II. OTHER REPRESENTATIONS

摘要

Knowing the uniform probability density function for the attitude quaternion we derive expressions for the other attitude representations. We show that given our knowledge of the quaternion uniform probability density function there are three different methods by which the uniform probability density function of these other representations may be generated. Numerical methods are presented for generating uniformly distributed random samples of each of the attitude representations as a function of random samples having a uniform probability density function on the interval.