Least-squares-based fitting of paraboloids

被引：22

作者：

Dai, Min ^{[1
]}

Newman, Timothy S. ^{[1
]}

Cao, Chunguang ^{[1
]}

机构：

[1] Univ Alabama, Dept Comp Sci, Huntsville, AL 35899 USA

来源：

PATTERN RECOGNITION | 2007年 / 40卷 / 02期

关键词：

surface fitting; quadric surfaces; paraboloids; least-squares;

D O I：

10.1016/j.patcog.2006.01.016

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A technique for reconstructing a class of quadric surfaces from 3D data is presented. The technique is driven by a linear least-squares-based fitting mechanism. Previously, such fitting was restricted to recovery of central quadrics; here, extension of that basic mechanism to allow recovery of one commonly-occurring class of non-central quadric, the elliptic paraboloids, is described. The extension uses an indirect solution approach that involves introducing a variable to the basic mechanism that is a function of a quadric surface invariant. Results from fitting real and synthetic data are also exhibited. (c) 2006 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.

引用

页码：504 / 515

页数：12

共 24 条

[1] Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola [J].