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Abstract:
A
general method of determination of rotational conicoid profile error is
provided. Firstly the general equation of a conicoid is acquired from
all measurement points by using least squares method (LSM). And then a
certain eigenvalue with its eigenvector of the quadratic terms matrix of
the equation, which is the pivot of the rotational conicoid, are
obtained by means of a highly accurate method. Moreover, the
transformational matrix can be obtained and used to all measurement
points. Finally the profile error formula of each rotational conicoid is
presented along with its characteristics. In order to verify the
effectiveness, an example was given. This algorithm has no model error,
no special demands for the positions of work piece in the measurement
space. This method has a wide usage in the field of coordinate
instruments.
Key words: Profile error Rotational conicoid Least squares method
Eigenvalue Eigenvector
CLC No: TH112.5
国家自然科学基金(50375119)和西安交通大学博士学位论文基金(DFXJU1999-5)资助项目. Received 20040728,
received in revised form 20050113
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