title: Stitching interferometry of full cylinder by use of the first-order approximation of cylindrical coordinate transformation.
abstract: Since the cylinder surface is closed and periodic in the azimuthal direction, traditional stitching interferometry cannot be used to yield the 360° form map. This paper describes a full cylinder stitching interferometry based on the first-order approximation of cylindrical coordinate transformation. First, it introduces cylindrical projection, which allows us to determine the overlap region of the cylinder without ambiguity. Second, the relationship between the variations of radial coordinates and the movement errors of the rotational stage is derived from the first-order approximation of cylindrical coordinate transformation. Based on this relation, a cylinder stitching model is built to connect all sub-apertures together. Finally, we experimentally validate the proposed method by measuring a precision metal shaft. The high resolution and repeatability shown in the experimental results demonstrate our approach to be an attractive and promising technique in the field of precision measurement.
authors.forename: Junzheng
authors.initials: J
authors.lastname: Peng
authors.forename: Yingjie
authors.initials: Y
authors.lastname: Yu
authors.forename: Dingfu
authors.initials: D
authors.lastname: Chen
authors.forename: Hongwei
authors.initials: H
authors.lastname: Guo
authors.forename: Jinggang
authors.initials: J
authors.lastname: Zhong
authors.forename: Mingyi
authors.initials: M
authors.lastname: Chen