This paper first gives the description of cylinder profile, and then puts forward an actual profile reconstruction method of precision cylinder based on error separation technique. To reconstruct correct cylinder profile, separation of roundness and rotation error motion, retrieve of least square center, and purification of reconstruction datum are taken. The correctness of reconstruction method is proven through comparison between generatrix error from reconstruction and straightness error separation. The existence of average axial line defined by CIRP is also testified.
As one of the valid means to perform non-contact high-precision measurements, many types of measuring sensors are developed by professor S. Kyono, which are based on laser optical triangular method and have many compound modes of displacement and angular displacement, such as one-point-one-dimension and one-point-2- dimension, and used in flatness measurement. Based on the uniform equations of 1-dimension and multi-dimension EST (Error Separation Techniques) and their mapping matrixes, which are proposed by the author, this paper expounds the same ultimate source of displacement and angular displacement in spite of their different forms. The above is based on the linear decompositions of flatness measurement equations on two directions of orthogonal coordinates. According to the theory, ten methods of flatness EST are investigated. And their mapping matrixes and weight functions are analyzed. At last their virtues, defects and their application situations are compared.
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