Pose determination of cylinders, cones, and spheres from perspective projections

Yiu Cheung Shiu; Hanqi Zhuang

doi:10.1117/12.58624

1 March 1992 Pose determination of cylinders, cones, and spheres from perspective projections

Yiu Cheung Shiu, Hanqi Zhuang

Proceedings Volume 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics; (1992) https://doi.org/10.1117/12.58624
Event: Aerospace Sensing, 1992, Orlando, FL, United States

Abstract

This paper addresses the computation of spheres, right-circular cylinders, and right-circular cones from a single view. Geometric information about these objects are known a priori, as this would be the case for model-based vision applications. The 3-D poses of these objects can be computed using elliptical projection from the sphere or elliptical projections from the circular surfaces of a cylinder or cone. For the cylinder and cone, their poses can also be computed form their linear extremal contours. This paper employs simple analytic geometric techniques that address uniqueness of the solutions as well as the geometric interpretations of the non-unique solutions. For the sphere, its pose can be uniquely determined by its elliptical projection. Using a planar circular surface from either the cone or the cylinder, two solutions to the position and orientation of the circle are possible. From the linear extremal contours of a cylinder, its pose can be computed uniquely if the junctions are visible in the image, otherwise the position has one degree of freedom along the cylinder axis. From the linear contours of a cone, its pose can also be solved uniquely unless the junctions are occluded. In that case there are two possible solutions for the orientation but the position has one degree of freedom along the line joining the projection center to the image apex position.

Citation Download Citation

Yiu Cheung Shiu and Hanqi Zhuang "Pose determination of cylinders, cones, and spheres from perspective projections", Proc. SPIE 1708, Applications of Artificial Intelligence X: Machine Vision and Robotics, (1 March 1992); https://doi.org/10.1117/12.58624

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available