The method constructs the measurement control net based on unit quaternions with the assistant measurement control points that are set around the measured workpiece,and optimizes the measurement precise of control net with Levenberg-Marquardt(LM) optimal algorithm.

This paper proposes a flexible and reliable camera calibration of stereo vision measurement system based on unit quaternions with optical reference bar, which has three small collinear infrared LED feature points and the lengths between these feature points have been precisely calibrated.

Based on the unit quaternion representation of orientations of the 6/6-SPS Stewart manipulator,an analytical expression that represents the orientation-singularity locus of the manipulator at a fixed position is derived and examples are given to illustrate the result.

The concept of quaternion and its operation rules were introduced first, then formulae for space resection based on unit quaternion were deduced.

Firstly the unit quaternions are used to describe rotation matrix in the algorithm.

In this article,we introduced the theory of the unit quaternions into the field of the photogrammetry.

Application of quaternion method to the six-DOF simulation of autonomous underwater vehicle (AUV);

By means of a idographic example, the quaternion method and the dual Euler method are studied and compared.

Registration of scanning beam data on surface based on genetic algorithm and quaternion method;

The attitude updating accuracy of quaternion algorithm and equivalent rotating vector algorithm was compared.

The method of adjusting screen-coordinate and object-coordinate of plane model with quaternion is discussed.

Attitude solution for strapdown inertial navigation system based on quaternion algorithm;

Six attitude algorithms of strapdown inertial navigation system(SINS) is analyzed including:Euler algorithm,direction cosine algorithm,trigonometric function algorithm,Rodrigues parameters algorithm,quaternion algorithm and rotation vector algorithm.