A Method for Fitting of Conicoid in Industrial Measurement

The standardization of second order polynomial is described.The eigenvalues and eigenvectors of quadric coefficient matrix are used to describe the relation between surveying coordinates system and standardized coordinate system,in which conicoid equations are well expressed mathematically. The rotation angles are derived from eigenvector matrix.Then conicoid fitting model is developed using eigenvalues,rotation angles and shifts as parameters.The example shows the correctness of the model.