Ferguson curve model and morphological smoothing of ruled surfaces

Antony T. Popov

doi:10.1117/12.447270

2 November 2001 Ferguson curve model and morphological smoothing of ruled surfaces

Antony T. Popov

Proceedings Volume 4476, Vision Geometry X; (2001) https://doi.org/10.1117/12.447270
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

This work studies the generation of a ruled surface from scattered data, which can be obtained by a shape- from - X procedure or can be an experimental output. The ruled surface is generated by the so- called Ferguson Curve Model. This model is an interpolation technique based on parametric cubic polynomials, and thus guaranteeing continuity of the curvature in each point of the initial set. We show how morphological operations - esp. openings and closings can be used to obtain good smoothness of the surface in practice. An application to robot motion planning is presented.

Citation Download Citation

Antony T. Popov "Ferguson curve model and morphological smoothing of ruled surfaces", Proc. SPIE 4476, Vision Geometry X, (2 November 2001); https://doi.org/10.1117/12.447270

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