Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms
Joint Authors
Pérez-Ramírez, Agustín
Guerrero Juk, Julian
Sanchez-Lara, Rafael
Trejo-Sánchez, Joel Antonio
de la Cruz-May, Lelio
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-31
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This work presents an algorithm to reduce the multiplicative computational complexity in the creation of digital holograms, where an object is considered as a set of point sources using mathematical symmetry properties of both the core in the Fresnel integral and the image.
The image is modeled using group theory.
This algorithm has multiplicative complexity equal to zero and an additive complexity (k-1)N2 for the case of sparse matrices or binary images, where k is the number of pixels other than zero and N2 is the total of points in the image.
American Psychological Association (APA)
Pérez-Ramírez, Agustín& Guerrero Juk, Julian& Sanchez-Lara, Rafael& Trejo-Sánchez, Joel Antonio& de la Cruz-May, Lelio. 2017. Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1190748
Modern Language Association (MLA)
Pérez-Ramírez, Agustín…[et al.]. Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms. Mathematical Problems in Engineering No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1190748
American Medical Association (AMA)
Pérez-Ramírez, Agustín& Guerrero Juk, Julian& Sanchez-Lara, Rafael& Trejo-Sánchez, Joel Antonio& de la Cruz-May, Lelio. Application of Mathematical Symmetrical Group Theory in the Creation Process of Digital Holograms. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1190748
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190748