The invention discloses a shape error measurement method based on
error separation, and the method comprises the steps: 1) constructing a three-
point method measurement
system, carrying out the
differential measurement of a to-be-measured workpiece through three sensors, introducing a
ridge regression
algorithm, and obtaining the straightness error of the to-be-measured workpiece; and 2) expanding the three-point measurement method in the step 1) to a 3 * 3 arranged
sensor array and applying the
sensor array to the shape error measurement of the two-dimensional plane of the workpiece to be measured. According to the method, improvement is carried out on the basis of a three-point straightness measurement method, a
ridge regression
algorithm is introduced to solve a corresponding
linear system, and a generalized
cross validation method is adopted to adaptively determine an optimal regularization parameter, so that the robustness, the accuracy and the anti-
noise performance of understanding are improved, and the robustness, the accuracy and the anti-
noise performance of the
system are improved. And the basic principle of a three-
point method is further expanded to a nine-
point method, so that the shape error measurement of the two-dimensional plane of the workpiece is realized, and a precise and
effective method is provided for the measurement of the straightness and flatness of the workpiece.