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

Producción científica

2 Citas (Scopus)

Resumen

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.

Idioma original	English
Título de la publicación alojada	Optical Fabrication, Testing, and Metrology VII
Editores	Roland Geyl, Deitze Otaduy, Reinhard Volkel
Editorial	SPIE
Páginas	12
ISBN (versión digital)	9781510645905
ISBN (versión impresa)	9781510645905
DOI	https://doi.org/10.1117/12.2592803
Estado	Published - 2021
Evento	Optical Fabrication, Testing, and Metrology VII 2021 - Virtual, Online Duración: 13 sept 2021 → 17 sept 2021

Serie de la publicación

Nombre	Proceedings of SPIE - The International Society for Optical Engineering
Volumen	11873
ISSN (versión impresa)	0277-786X
ISSN (versión digital)	1996-756X

Conference

Conference	Optical Fabrication, Testing, and Metrology VII 2021
País/Territorio	Spain
Ciudad	Virtual, Online
Período	13/9/21 → 17/9/21

Nota bibliográfica

Publisher Copyright:
© 2021 SPIE.

All Science Journal Classification (ASJC) codes

Materiales electrónicos, ópticos y magnéticos
Física de la materia condensada
Informática aplicada
Matemáticas aplicadas
Ingeniería eléctrica y electrónica

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10.1117/12.2592803

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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. En R. Geyl, D. Otaduy, & R. Volkel (Eds.), Optical Fabrication, Testing, and Metrology VII (pp. 12). Artículo 118730C (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11873). SPIE. https://doi.org/10.1117/12.2592803

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title = "Measurement of a highly freeform surface using a cylindrical null-screen",

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. En 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).

Producción científica

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AU - Huerta-Carranza, Oliver

AU - Campos-Garciá, Manuel

AU - Aguirre-Aguirre, Daniel

AU - Villalobos Mendoza, Brenda

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.

PY - 2021

Y1 - 2021

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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A2 - Geyl, Roland

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ER -

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. En Geyl R, Otaduy D, Volkel R, editores, 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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