Scientific research stay in advanced 3D vision systems Español

Description

The student will know essential mathematical tools for the understanding and design of optical profilometers. This research stay will provide calibration techniques and data processing methods such that students can build their own optical profilometer. Upon completion, students will have the experience to adapt the acquired knowledge to their projects, ranging from 3D object digitization, image restoration, and visual vehicle navigation.

Content

- Introduction
- Linear algebra
- Homogeneous coordinates
- Camera models
- Parallel coordinates
- Hough transform
- Square-radial checkerboard
- Phase demodulation
- Triangulation
- Fringe projection systems
- Calibration
- Applications

Student profile

We welcome undergraduate and graduate students of computer sciences, mechatronics, physics, mathematics, or a related area. Stay's requirements only cover basic knowledge of linear algebra and scientific computing (for example, Matlab or Python). The student must be interested in topics such as digitization of 3D objects, computer vision, visual navigation, optical systems, image processing, scientific computing, and algorithm design.

##### Referencias

[1] R. Juarez-Salazar et al., “Key concepts for phase-to-coordinate conversion in fringe projection systems” Appl. Opt. **58**(18), 4828-4834, 2019.

[2] R. Juarez-Salazar and V. H. Diaz-Ramirez, "Operator-based homogeneous coordinates: application in camera document scanning" Opt. Eng., **56**(7), 070801, 2017.

[3] R. Juarez-Salazar and V. H. Diaz-Ramirez, "Flexible camera-projector calibration using superposed color checkerboards" Opt. Laser Eng., **120**, 59-65, 2019.

[4] R. Juarez-Salazar et al, "How do phase-shifting algorithms work?" Eur. J. Phys. **39**(6), 065302, 2018.

[5] R. Juarez-Salazar et al, "Distorted pinhole camera modeling and calibration" Appl. Opt. **59**(36), 11310-11318, 2020.

[6] R. Juarez-Salazar and V. H. Diaz-Ramirez, "Homography estimation by two PClines Hough transforms and a square-radial checkerboard pattern" Applied Optics, **57**(2), 3316-3322, 2018.

[7] J. Geng, “Structured-light 3D surface imaging: a tutorial” Adv. Opt. Photon. **3**(2), 128-160, 2011.