Single-lens stereovision system using a prism: position estimation of a multi-ocular prism

Area of Science:

• Optics and Photonics
• Computer Vision
• Robotics

Background:

• Stereovision systems typically require multiple lenses for depth perception.
• Single-lens systems offer advantages in size and cost but face challenges in accurate 3D reconstruction.
• Prisms can manipulate light paths, potentially enabling 3D sensing with fewer optical components.

Purpose of the Study:

• To propose a novel position estimation method for a prism-based single-lens stereovision system.
• To develop a robust mathematical model for 3D object localization using a multifaced prism.
• To demonstrate the effectiveness and versatility of the proposed system in various applications.

Main Methods:

• A multifaced prism was modeled as a single optical system with refractive planes.
• Geometrical optics principles were used to derive a transformation matrix for object-to-image point mapping.
• A seven-parameter mathematical model was developed to represent arbitrary face prisms.

Main Results:

• The derived transformation matrix accurately relates object and image coordinates through prism refraction.
• The seven-parameter model effectively denotes the position of prisms with varying faces.
• Experimental results validated the proposed model's effectiveness and robustness in position estimation.

Conclusions:

• The proposed prism-based single-lens stereovision system offers an effective solution for 3D position estimation.
• The developed mathematical model enhances the applicability of single-lens stereovision systems.
• This method provides a robust and versatile approach for 3D reconstruction in various fields.