Direct Least-Squares Fitting of Algebraic Surfaces (1987)
by
Vaughan Pratt
,
Per Point
| Citations: | 92 - 1 self |
BibTeX
@MISC{Pratt87directleast-squares,
author = {Vaughan Pratt and Per Point},
title = {Direct Least-Squares Fitting of Algebraic Surfaces},
year = {1987}
}
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Abstract
In the course of developing a system for fitting smooth curves to camera input we have developed several direct (i.e. noniterative) methods for fitting a shape (line, circle, conic, cubic, plane, sphere, quadric, etc.) to a set of points, namely exact fit, simple fit, spherical fit, and blend fit. These methods are all dimension-independent, being just as suitable for 3D surfaces as for the 2D curves they were originally developed for. Exact fit...
