contributor author | Q. J. Ge | |
contributor author | Ping Zhao | |
contributor author | Anurag Purwar | |
contributor author | Xiangyun Li | |
date accessioned | 2017-05-09T00:48:51Z | |
date available | 2017-05-09T00:48:51Z | |
date copyright | 41244 | |
date issued | 2012 | |
identifier issn | 1530-9827 | |
identifier other | JCISB6-926512#jcis_12_4_041003.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/148380 | |
description abstract | The use of the image space of planar displacements for planar motion approximation is a well studied subject. While the constraint manifolds associated with planar four-bar linkages are algebraic, geometric (or normal) distances have been used as default metric for nonlinear least squares fitting of these algebraic manifolds. This paper presents a new formulation for the manifold fitting problem using algebraic distance and shows that the problem can be solved by fitting a pencil of quadrics with linear coefficients to a set of image points of a given set of displacements. This linear formulation leads to a simple and fast algorithm for kinematic synthesis in the image space. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Novel Approach to Algebraic Fitting of a Pencil of Quadrics for Planar 4R Motion Synthesis | |
type | Journal Paper | |
journal volume | 12 | |
journal issue | 4 | |
journal title | Journal of Computing and Information Science in Engineering | |
identifier doi | 10.1115/1.4007447 | |
journal fristpage | 41003 | |
identifier eissn | 1530-9827 | |
keywords | Motion | |
keywords | Fittings | |
keywords | Manifolds | |
keywords | Approximation | |
keywords | Linkages | |
keywords | Algorithms AND Errors | |
tree | Journal of Computing and Information Science in Engineering:;2012:;volume( 012 ):;issue: 004 | |
contenttype | Fulltext | |