By Topic

Nonplanar curve and surface estimation in 3-space

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Taubin, Gabriel ; Brown Univ., Providence, RI, USA

The problem of minimal parameter representation and estimation for complex planar and nonplanar curves, and surfaces is considered. The representation is based on concepts from algebraic geometry: a surface is the set of roots of a polynomial of three variables, and a curve is the intersection of two different surfaces. It is shown that the surfaces of an interesting complex of objects in three-space can be represented by single high degree-polynomials, and a similar statement applies to complex curves in three-space. An approximate expression for the mean-square distance from a set of points to a curve or surface is developed, not only for quadratic surfaces, but also for surfaces and curves defined by polynomials of higher degree. A computationally efficient algorithm is presented to carry out the minimization without using nonlinear optimization techniques

Published in:

Robotics and Automation, 1988. Proceedings., 1988 IEEE International Conference on

Date of Conference:

24-29 Apr 1988