Abstract: A kinematics-free hand-eye calibration method comprises: controlling translation axes of a five-axis motion platform to perform a single-axis point location motion, using a camera to obtain a first spatial coordinate of a calibration plate, fitting all first spatial coordinates into a spatial straight line to obtain a unit direction vectors of the spatial straight line, carrying out Schmidt orthogonalization on the unit direction vectors of the spatial straight lines of an X direction, a Y direction and a Z direction to obtain a pose relationship matrix combined by the orthogonalized direction vectors; obtaining a second spatial coordinate of the calibration plate in a mode of rotating an X-axis and a C-axis, fitting all second spatial coordinates into a spatial spherical surface, calculating a spherical center coordinate to obtain a position relationship matrix, and obtaining a hand-eye relationship matrix combined by the pose relationship matrix and the position relationship matrix.

Abstract: A dimensionless kinematics calibration method based on a virtual point and a related apparatus thereof. The method comprises: establishing a kinematics model of a motion mechanism, and arranging a plurality of virtual points at a tail end of the motion mechanism to establish a dimensionless kinematics model and a dimensionless error model; converting a measurement coordinate system into a motion mechanism coordinate system, acquiring a rotation matrix and a translation matrix of a target virtual point measured by the measurement device, and calculating actual coordinates of all virtual points to obtain a measured value of the dimensionless kinematics model; calculating a theoretical value of the dimensionless kinematics model according to a spatial relationship between a reflecting head and the tail end of the motion mechanism; and optimizing the dimensionless error model according to the measured value and the theoretical value to obtain a calibration result.