Dr. Ricardo Legarda Sáenz

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Education and Awards

•  Doctoral degree in Sciences (Optics), Centro de Investigaciones en Óptica. A. C. (Mexico), 2000.
• Distinction for academic performance. Thesis work related with computational techniques for the moiré deflectometry technique:

1. 1. Simulation of geometrical propagation of light through an inhomogeneous medium using ray-tracing techniques.
   2. Processing the experimental data generated by the technique.

• Master degree in Electronic Engineering (Computation), Instituto Tecnológico de Chihuahua (Mexico), 1997. Special recognition for degree examination.

Thesis work related with character recognition using invariant moments as descriptors and neural networks as classifier.

• Bachelor degree in Industrial Engineering (Electronic), Instituto Tecnológico de Chihuahua (Mexico), 1991.

Research interests and projects

My principal interest is the applications of optical shape measurement for the evaluation of complex objects. At present, I am working in the calibration and measurement of a fringe projection system, and the measured data matching from different views and/or different devices. A second interest is the processing of fringe patterns using inverse-problems approach.

Publications

1. Ricardo Legarda-Saenz, Jorge L. Flores, Matías Fernández Lakatos, Wavefront reconstruction of discontinuous phase objects using directional derivatives, Optics & Laser Technology, Volume 182, Part A, (2025), 112053, ISSN 0030-3992,
2. Jesús May-Cen, I.d., Hernandez-Lopez, F.J., Legarda-Sáenz, R. et al. Parallel algorithm for wrapped phase denoising. J Real-Time Image Proc 20, 68 (2023).
3. May-Cen, I., Legarda-Saenz, R., & Brito-Loeza, C. (2023). A Variational Model for Wrapped Phase Denoising. Mathematics, 11(12), 2618.
4. Ricardo Legarda-Saenz, Jorge L. Flores, Manuel Servin, and Anabel Martin-Gonzalez, "Wavefront reconstruction of discontinuous phase objects from optical deflectometry," Appl. Opt. 62, 4255-4261 (2023)
5. Alejandro Téllez-Quiñones, Diana B. Chi-Couoh, Lucia B. Gamboa-Salazar, Ricardo Legarda-Sáenz, Juan C. Valdiviezo-Navarro, and Miguel León-Rodríguez, "Two-dimensional phase unwrapping based on Fourier transforms and the Yukawa potential spectrum," J. Opt. Soc. Am. A 40, 692-702 (2023)
6. Pérez Dawn, E., Legarda Sáenz, R., & Espinosa Romero, A. . (2022). Regularized Phase Tracking using fixed-point for fringe patterns demodulation. Nova Scientia, 14(29).
7. Hernandez-Lopez, F.J., Legarda-Sáenz, R. & Brito-Loeza, C. Parallel algorithm for fringe pattern demodulation. J Real-Time Image Proc 18, 2441–2451 (2021).
8. Legarda-Saenz R, Brito-Loeza C. Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities. Journal of Algorithms & Computational Technology. 2020;14. doi:10.1177/1748302620941413
9. Carlos Brito-Loeza, Ricardo Legarda-Sáenz, Anabel Martin-Gonzalez, "A fast algorithm for a total variation based phase demodulation model" (ISSN: 1098-2426), Numerical Methods for Partial Differential Equations, 36 (3), Pag. 617-636, 2019.
10. Carlos Brito-Loeza, Ricardo Legarda-Sáenz, Arturo Espinosa-Romero, Anabel Martin-Gonzalez, "A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns" (ISSN: 1815-2406), Communications in Computational Physics, Vol. 24, No. 1, Pag. 27-43, 2018.
11. Jorge L. Flores, José A. Ferrari, G. GarcíaTorales, Ricardo Legarda-Saenz, Adriana Silva, "Color-fringe pattern profilometry using a generalized phase-shifting algorithm", Appl. Opt. 54, 8827-8834 (2015).
12. Adonai Gonzalez, Mariano Rivera, Manuel Servin, Ricardo Legarda-Saenz, Oscar Dalmau, and Amalia Martinez, "Synchronous phase demodulation algorithm for conic carrier Hartmann topographer", Opt. Lasers Eng. 67, 157–162 (2015).
13. J. L. Flores, R. Legarda-Saenz, and G. Garcia-Torales, "Color deflectometry for phase retrieval using phase-shifting methods", Opt. Commun. 334, 298–302 (2015).
14. R. Legarda-Saenz, C. Brito-Loeza, and A. Espinosa-Romero, "Total variation regularization cost function for demodulating phase discontinuities", Appl. Opt. 53, 2297–2301 (2014).
15. R. Legarda-Saenz, C. Brito-Loeza, M. Rivera, and A. Espinosa-Romero, "Variational method for integrating radial gradient field", Opt. Lasers Eng. 63, 53–57 (2014).
16. A. Espinosa-Romero and R. Legarda-Saenz, "GPU based real-time quadrature transform method for 3-D surface measurement and visualization", Opt. Express 19, 12125–12130 (2011).
17. R. Legarda-Saenz and A. Espinosa-Romero, "Wavefront reconstruction using multiple directional derivatives and Fourier transform", Opt. Eng. 50, 040501 (2011).
18. R. Legarda-Saenz, R. Rodriguez-Vera, and A. Espinosa-Romero, "Dynamic 3-D shape measurement method based on quadrature transform", Opt. Express 18, 2639–2645 (2010).
19. O. S. Dalmau-Cedeno, M. Rivera, and R. Legarda-Saenz, "Fast phase recovery from a single closed-fringe pattern", J. Opt. Soc. Am. A 25, 1361–1370 (2008).
20. R. Legarda-Saenz, "Robust wavefront estimation using multiple directional derivatives in moiré deflectometry", Opt. Lasers Eng. 45, 915–921 (2007).
21. R. Legarda-Saenz and M. Rivera, "Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns", J. Opt. Soc. Am. A 23, 2724–2731 (2006).
22. R. Legarda-Saenz, T. Bothe, and W. P. Juptner, "Accurate procedure for the calibration of a structured light system", Opt. Eng. 43, 464–471 (2004).
23. R. Legarda-Saenz, W. Osten, and W. P. Juptner, "Improvement of the regularized phase tracking technique for the processing of nonnormalized fringe patterns", Appl. Opt. 41, 5519–5526 (2002).
24. R. Legarda-Saenz, M. Rivera, and R. Rodriguez-Vera, "Quadratic cost functional for wave-frontreconstruction", Appl. Opt. 41, 1515–1521 (2002).
25. R. Legarda-Saenz, M. Rivera, R. Rodriguez-Vera, and G. Trujillo-Schiaffino, "Robust wave-front estimation from multiple directional derivatives", Opt. Lett. 25, 1089–1091 (2000).
26. R. Legarda-Saenz, R. Rodriguez-Vera, and M. Rivera, "Nonparaxial method for computing the gradient field of a wavefront using moiré deflectometry", Opt. Commun. 160, 214–218 (1999).