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Open AccessJournal Article

Geometric analysis of the null screens used for testing convex optical surfaces

TLDR
In this article, a geometric analysis of the screens used for testing convex optical surfaces is presented, and some properties of the transformation between the image plane and the screen plane such as symmetry and magnification are presented for the case when the reflecting surface is a sphere.
Abstract
A geometric analysis of the screens used for testing convex optical surfaces is presented. Some properties of the transformation between the image plane and the screen plane, such as symmetry and magnification, are presented for the case when the reflecting surface is a sphere. Due to the intrinsic variations in the magnification, the geometric relationship between the image and the object shows some unexpected behavior. Two cases are analyzed in detail: i) a set of concentric circles centered on the origin of coordinates of the image plane with a set of radial straight lines; and ii) a square grid and a square array of circles of the same size

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Citations
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Journal ArticleDOI

Testing fast aspheric concave surfaces with a cylindrical null screen

TL;DR: A noncontact test procedure to obtain the shape of fast concave surfaces is described and the cylindrical null screen design and the surface evaluation algorithm are presented.
Journal ArticleDOI

Quantitative evaluation of an off-axis parabolic mirror by using a tilted null screen.

TL;DR: Here a tilted null screen with drop shaped spots drawn on it is designed in such a way that its image, which is formed by reflection on the test surface, becomes an exact square array of circular spots if the surface is perfect.
Journal ArticleDOI

Surface shape evaluation with a corneal topographer based on a conical null-screen with a novel radial point distribution

TL;DR: In order to measure the shape of fast convex aspherics, such as the corneal surface of the human eye, the design of a conical null-screen with a radial point distribution drawn on it in such a way that its image becomes an exact array of circular spots if the surface is perfect is proposed.
Journal ArticleDOI

Point shifting in the optical testing of fast aspheric concave surfaces by a cylindrical screen

TL;DR: Results of the evaluation of an elliptical concave mirror on axis show that the numerical integration errors can be reduced from 20% for short paths to 80% for larger integration paths.
Journal ArticleDOI

Improving fast aspheric convex surface tests with dynamic null screens using LCDs.

TL;DR: The proposed procedure improves the dynamic point-shifting method by reducing the numerical error during the integration procedure, thereby improving the sensitivity of the test.
References
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Effects of window size and shape on accuracy of subpixel centroid estimation of target images

TL;DR: A new algorithm was developed to improve the dynamic range of a close-range photogrammetric tracking system that provides feedback for control of a large gap magnetic suspension system (LGMSS).
Journal ArticleDOI

Point shifting in the optical testing of fast aspheric concave surfaces by a cylindrical screen

TL;DR: Results of the evaluation of an elliptical concave mirror on axis show that the numerical integration errors can be reduced from 20% for short paths to 80% for larger integration paths.
Proceedings ArticleDOI

Tilted Null Screens with Drop Shaped Spots: Radial and Square Arrays

TL;DR: In this paper, different tilted null screens for better alignment and centroid evaluation in the test of an off-axis surface were explored, and drop shaped spots were used, on both radial and rectangular arrays.
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