Measurement of a highly freeform surface using a cylindrical null-screen

Oliver Huerta-Carranza; Manuel Campos-Garciá; Daniel Aguirre-Aguirre; Brenda Villalobos Mendoza; Victor Ivan Moreno-Oliva

doi:10.1117/12.2592803

Measurement of a highly freeform surface using a cylindrical null-screen

Oliver Huerta-Carranza, Manuel Campos-Garciá, Daniel Aguirre-Aguirre, Brenda Villalobos Mendoza, Victor Ivan Moreno-Oliva

Departamento de Física y Matemáticas

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

We propose a method to design the null-screen on a cylindrical surface when the surface under test is a freeform, this implies that the surface is described by a complex analytical expression. Also, the method avoids overlapping objects in the image plane this assures the appropriate correlation between the object and the image points. The surface under study was designed using Zernike polynomials and it was built through a 3D printer and CNC machine. To retrieve the surface sagitta, in previous work, we obtained the best-fitting surface using a probabilistic algorithm. In this work, we propose to measure the slopes of the test surface in the x and y directions, and by integration, we calculated the sagitta of the test surface. We present a comparison between both methods to show which of them recovers the shape of the surface more accurately.

Original language	English
Title of host publication	Optical Fabrication, Testing, and Metrology VII
Editors	Roland Geyl, Deitze Otaduy, Reinhard Volkel
Publisher	SPIE
Pages	12
ISBN (Electronic)	9781510645905
ISBN (Print)	9781510645905
DOIs	https://doi.org/10.1117/12.2592803
Publication status	Published - 2021
Event	Optical Fabrication, Testing, and Metrology VII 2021 - Virtual, Online, Spain Duration: 13 Sept 2021 → 17 Sept 2021

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11873
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Optical Fabrication, Testing, and Metrology VII 2021
Country/Territory	Spain
City	Virtual, Online
Period	13/9/21 → 17/9/21

Bibliographical note

Funding Information:
This research was supported by the Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México (DGAPA-UNAM) under the projects Programa de Apoyo a Proyectos de Investigación e Inovación Tecnológica (PAPIIT) No: IT100321 and TA100521.

Publisher Copyright:
© 2021 SPIE.

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

Access to Document

10.1117/12.2592803

Cite this

Huerta-Carranza, O., Campos-Garciá, M., Aguirre-Aguirre, D., Villalobos Mendoza, B., & Moreno-Oliva, V. I. (2021). Measurement of a highly freeform surface using a cylindrical null-screen. In R. Geyl, D. Otaduy, & R. Volkel (Eds.), Optical Fabrication, Testing, and Metrology VII (pp. 12). Article 118730C (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11873). SPIE. https://doi.org/10.1117/12.2592803

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abstract = "We propose a method to design the null-screen on a cylindrical surface when the surface under test is a freeform, this implies that the surface is described by a complex analytical expression. Also, the method avoids overlapping objects in the image plane this assures the appropriate correlation between the object and the image points. The surface under study was designed using Zernike polynomials and it was built through a 3D printer and CNC machine. To retrieve the surface sagitta, in previous work, we obtained the best-fitting surface using a probabilistic algorithm. In this work, we propose to measure the slopes of the test surface in the x and y directions, and by integration, we calculated the sagitta of the test surface. We present a comparison between both methods to show which of them recovers the shape of the surface more accurately. ",

author = "Oliver Huerta-Carranza and Manuel Campos-Garci{\'a} and Daniel Aguirre-Aguirre and {Villalobos Mendoza}, Brenda and Moreno-Oliva, {Victor Ivan}",

note = "Funding Information: This research was supported by the Direcci{\'o}n General de Asuntos del Personal Acad{\'e}mico, Universidad Nacional Aut{\'o}noma de M{\'e}xico (DGAPA-UNAM) under the projects Programa de Apoyo a Proyectos de Investigaci{\'o}n e Inovaci{\'o}n Tecnol{\'o}gica (PAPIIT) No: IT100321 and TA100521. Publisher Copyright: {\textcopyright} 2021 SPIE.; Optical Fabrication, Testing, and Metrology VII 2021 ; Conference date: 13-09-2021 Through 17-09-2021",

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Huerta-Carranza, O, Campos-Garciá, M, Aguirre-Aguirre, D, Villalobos Mendoza, B & Moreno-Oliva, VI 2021, Measurement of a highly freeform surface using a cylindrical null-screen. in R Geyl, D Otaduy & R Volkel (eds), Optical Fabrication, Testing, and Metrology VII., 118730C, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11873, SPIE, pp. 12, Optical Fabrication, Testing, and Metrology VII 2021, Virtual, Online, Spain, 13/9/21. https://doi.org/10.1117/12.2592803

Measurement of a highly freeform surface using a cylindrical null-screen. / Huerta-Carranza, Oliver; Campos-Garciá, Manuel; Aguirre-Aguirre, Daniel et al.
Optical Fabrication, Testing, and Metrology VII. ed. / Roland Geyl; Deitze Otaduy; Reinhard Volkel. SPIE, 2021. p. 12 118730C (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11873).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Moreno-Oliva, Victor Ivan

N1 - Funding Information: This research was supported by the Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México (DGAPA-UNAM) under the projects Programa de Apoyo a Proyectos de Investigación e Inovación Tecnológica (PAPIIT) No: IT100321 and TA100521. Publisher Copyright: © 2021 SPIE.

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N2 - We propose a method to design the null-screen on a cylindrical surface when the surface under test is a freeform, this implies that the surface is described by a complex analytical expression. Also, the method avoids overlapping objects in the image plane this assures the appropriate correlation between the object and the image points. The surface under study was designed using Zernike polynomials and it was built through a 3D printer and CNC machine. To retrieve the surface sagitta, in previous work, we obtained the best-fitting surface using a probabilistic algorithm. In this work, we propose to measure the slopes of the test surface in the x and y directions, and by integration, we calculated the sagitta of the test surface. We present a comparison between both methods to show which of them recovers the shape of the surface more accurately.

AB - We propose a method to design the null-screen on a cylindrical surface when the surface under test is a freeform, this implies that the surface is described by a complex analytical expression. Also, the method avoids overlapping objects in the image plane this assures the appropriate correlation between the object and the image points. The surface under study was designed using Zernike polynomials and it was built through a 3D printer and CNC machine. To retrieve the surface sagitta, in previous work, we obtained the best-fitting surface using a probabilistic algorithm. In this work, we propose to measure the slopes of the test surface in the x and y directions, and by integration, we calculated the sagitta of the test surface. We present a comparison between both methods to show which of them recovers the shape of the surface more accurately.

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Huerta-Carranza O, Campos-Garciá M, Aguirre-Aguirre D, Villalobos Mendoza B, Moreno-Oliva VI. Measurement of a highly freeform surface using a cylindrical null-screen. In Geyl R, Otaduy D, Volkel R, editors, Optical Fabrication, Testing, and Metrology VII. SPIE. 2021. p. 12. 118730C. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2592803

Measurement of a highly freeform surface using a cylindrical null-screen

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