In order to improve the positioning accuracy and guiding accuracy of an airborne measuring device,a mathematical model of error analysis is established based on the coordinate conversion equation from geodetic coordinates to telescope coordinates deduced by the homogeneous coordinate conversion theory.

Denavit-Hartenberg method gives coordinate transformation matrix via a group basic homogeneous coordinate transformation.

Based on rigid body kinematics with small error assumption and homogeneous coordinate transformation method,a general workpiece location error model was created.

The theory of kinematics of the error motion for machine tools was analyzed, and the error synthesis model of a five axis machine center including three prismatic and two rotary type of joints was discussed by use of a homogeneous coordinate transformation method.

Manufacturing error modeling based on homogeneous transformation;

The Denavit-Hatenberg method is for describing a robot arm configuration by the R~(4×4) homogeneous transformation matrices.

Applications of homogeneous coordinates in the variable system classifications of structures;

According to the homogeneous coordinate transition,we deduce the formula for computing target pose under the absolute coordinate system an.

From projective geometry aspect,this paper applies the vector operation characteristics of homogeneous coordinate to the intersection simulation.

With the representation of homogeneous coordinates,we explain the geometric sense for the weights of NURBS surface firstly,and then prove in the paper that when one weight changes,the points of NURBS surface move toward or away from the control points.

In this paper, we study a class of discrete competition model, Us the homogeneous coordinates of projective geometry to establish the linear zed equations for the systems, present a sufficient and necessary conditions for this systems having periodic solutions with periodic.