Abstract: An exemplary method for analyzing geometric deviations of a physical object is provided. The method includes: receiving point cloud data of a point cloud from a measuring machine which scans an physical object; receiving one or more parameters set by a user, the one or more parameters comprising a predetermined acceptable tolerance; fitting a least squares model based on the point cloud data according to a least squares method; analyzing the geometric deviations of the physical object based on the least squares model and obtaining an analysis result; performing a point cloud simulation by using Open Graphics Library based on the least squares model and the point cloud data; and generating a report based on the point cloud simulation and the analysis result. A related system is also provided.

Abstract: A three-dimensional (3D) collision detection method for a measuring machine comprises the steps of: receiving parameters of a to-be-measured workpiece and a moveable arm; simulating a to-be-measured workpiece 3D-model in accordance with the parameters of the to-be-measured workpiece, and a moveable arm 3D-model in accordance with the parameters of the moveable arm; combining the to-be-measured workpiece 3D-model with the moveable arm 3D-model to form a 3D collision model; generating a measuring path of the moveable arm by calculating positional coordinates of the moveable arm according to the 3D collision model; detecting whether the moveable arm collides with the to-be-measured workpiece according to the measuring path; and outputting collision results that include the collision coordinates and the measuring path. A related system is also disclosed.

Abstract: A computer-based method for measuring straightness of a line built based on point cloud data is provided. The method includes the steps of: receiving point cloud data; receiving parameters set by a user; computing an equation of a line based on the point cloud data; computing a residual value of each point in the point cloud; computing a straightness of the line; constructing a connected points line based on the points in the point cloud; and simulating a cloud point simulation based on the point cloud data, the line, the residual value of each point, and the connected points line. A related system is also provided.

Abstract: A three-dimensional (3D) collision detection method for a measuring machine comprises the steps of: receiving parameters of a to-be-measured workpiece and a moveable arm; simulating a to-be-measured workpiece 3D-model in accordance with the parameters of the to-be-measured workpiece, and a moveable arm 3D-model in accordance with the parameters of the moveable arm; combining the to-be-measured workpiece 3D-model with the moveable arm 3D-model to form a 3D collision model; generating a measuring path of the moveable arm by calculating positional coordinates of the moveable arm according to the 3D collision model; detecting whether the moveable arm collides with the to-be-measured workpiece according to the measuring path; and outputting collision results that include the collision coordinates and the measuring path. A related system is also disclosed.