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- W2731192130 abstract "Autocollimators are widely used for angular measurements in instrument-making and the manufacture ofelements of optical systems (wedges, prisms, plane-parallel plates) to check their shape parameters (rectilinearity,parallelism and planarity) and retrieve their optical parameters (curvature radii, measure and test their flange focusing).Autocollimator efficiency is due to the high sensitivity of the autocollimation method to minor rotations of the reflectingcontrol element or the controlled surface itself. We consider using quaternions to optimize reflector parameters duringautocollimation measurements as compared to the matrix technique. Mathematical model studies have demonstrated thatthe orthogonal positioning of the two basic unchanged directions of the tetrahedral reflector of the autocollimator isoptimal by the criterion of reducing measurement errors where the axis of actual rotation is in a bisecting positiontowards them. Computer results are presented of running quaternion models that yielded conditions for diminishingmeasurement errors provided apriori information is available on the position of rotation axis. A practical technique is considered for synthesizing the parameters of the tetrahedral reflector that employs thenewly-retrieved relationships. Following the relationships found between the angles of the tetrahedral reflector and theangles of the parameters of its initial orientation, an applied technique was developed to synthesize the control elementfor autocollimation measurements in case apriori information is available on the axis of actual rotation during monitoringmeasurements of shaft or pipeline deformation." @default.
- W2731192130 created "2017-07-14" @default.
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- W2731192130 date "2017-06-26" @default.
- W2731192130 modified "2023-09-26" @default.
- W2731192130 title "Autocollimation system for measuring angular deformations with reflector designed by quaternionic method" @default.
- W2731192130 cites W2065777933 @default.
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- W2731192130 doi "https://doi.org/10.1117/12.2269118" @default.
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