A comparative study between Piecewise-Linear and Point-Based methodologies for galvanometer mirror systems

  • Victor Manuel Jiménez-Fernández Facultad de Instrumentación Electrónica, Universidad Veracruzana
  • Héctor Hugo Cerecedo-Núñez Universidad Veracruzana https://orcid.org/0000-0001-8132-7272
  • Patricia Padilla-Sosa Universidad Veracruzana
  • Luis Beltrán-Parrazal Universidad Veracruzana
  • Hector Vazquez-Leal Universidad Veracruzana
  • Uriel Antonio Filobello-Niño Universidad Veracruzana
Keywords: Comparative study, piecewise-Linear, point-based, galvanometer mirrors

Abstract

Galvanometer mirror systems are a fundamental tool used in many research fields to deploy curves over virtually any surface. Even though the point-based methodology is the current standard used to achieve this task, it has the shortcoming of using a format of coordinates (expressed as a massive list of points) to represent the curve to be displayed, requiring large memory arrays. An alternative methodology is the so-called Piecewise-Linear which representation format is based on the use of a mathematical Piecewise-Linear formulation where the curves to be drawn are treated as a parametric system composed of two positional equations,  X and  Y, related to each other by an artificial parameter \mu. In comparison against the point-based method, Piecewise-Linear exhibits attractive advantages such as: memory saving and improved sharpness for projected curves.

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Author Biographies

Victor Manuel Jiménez-Fernández, Facultad de Instrumentación Electrónica, Universidad Veracruzana

Profesor asistente, Facultad de Instrumentación Electrónica.

Héctor Hugo Cerecedo-Núñez, Universidad Veracruzana

Facultad de Física

Patricia Padilla-Sosa, Universidad Veracruzana

Profesora asociada, Facultad de Física

Luis Beltrán-Parrazal, Universidad Veracruzana

Profesor asociado, Centro de Investigaciones Cerebrales

Hector Vazquez-Leal, Universidad Veracruzana
Hector Vazquez-Leal received the B.Sc. degree in Electronic Instrumentation Engineering in 1999 from Universidad Veracruzana (UV),  M.Sc.  and Ph.D. degrees in Electronic Sciences in 2001/2005 from National Institute of Astrophysics, Optics and Electronics (INAOE), México. His current research mainly covers analytical-numerical solutions, and symbolic analysis of nonlinear problems arising in microelectronics and applied sciences, robotics, automate circuit design, MEMs, and wireless energy transfer. He is editor of two International peer-reviewed Journals and regular invited reviewer of more than 25 journals. Prof. Vazquez-Leal is author/coauthor of 71 research articles published in several prestigious journals.
Uriel Antonio Filobello-Niño, Universidad Veracruzana

Profesor asistente, Facultad de Instrumentación Electrónica.

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Published
2014-11-13
How to Cite
Jiménez-Fernández V. M., Cerecedo-Núñez H. H., Padilla-Sosa P., Beltrán-Parrazal L., Vazquez-Leal H., & Filobello-Niño U. A. (2014). A comparative study between Piecewise-Linear and Point-Based methodologies for galvanometer mirror systems . Revista Facultad De Ingeniería Universidad De Antioquia, (73), 124-133. Retrieved from https://revistas.udea.edu.co/index.php/ingenieria/article/view/18977