Projective convexity in computational kinematic geometry

Q. J. Ge

doi:10.1115/DETC2002/MECH34281

Projective convexity in computational kinematic geometry

Q. J. Ge

Mechanical Engineering

Research output: Contribution to conference › Paper › peer-review

4 Scopus citations

Abstract

In recent years, there is an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of projective convexity as a key element for a new framework for kinematic geometry, that allows for the development of more elegant and efficient algorithms for geometric computations with kinematic applications. The resulting framework, called computational kinematic geometry, is developed by combining the oriented projective geometry with the kinematic geometry of rigid body motions.

Original language	English
Pages	715-723
Number of pages	9
DOIs	https://doi.org/10.1115/DETC2002/MECH34281
State	Published - 2002
Event	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002 - Montreal, Canada Duration: Sep 29 2002 → Oct 2 2002

Conference

Conference	ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002
Country/Territory	Canada
City	Montreal
Period	09/29/02 → 10/2/02

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10.1115/DETC2002/MECH34281

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@conference{f50b8b32a7b245b9a8f314734a27ae1a,

title = "Projective convexity in computational kinematic geometry",

abstract = "In recent years, there is an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of projective convexity as a key element for a new framework for kinematic geometry, that allows for the development of more elegant and efficient algorithms for geometric computations with kinematic applications. The resulting framework, called computational kinematic geometry, is developed by combining the oriented projective geometry with the kinematic geometry of rigid body motions.",

author = "Ge, \{Q. J.\}",

note = "Publisher Copyright: {\textcopyright} Copyright 2002 by ASME.; ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002 ; Conference date: 29-09-2002 Through 02-10-2002",

year = "2002",

doi = "10.1115/DETC2002/MECH34281",

language = "English",

pages = "715--723",

}

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AU - Ge, Q. J.

PY - 2002

Y1 - 2002

N2 - In recent years, there is an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of projective convexity as a key element for a new framework for kinematic geometry, that allows for the development of more elegant and efficient algorithms for geometric computations with kinematic applications. The resulting framework, called computational kinematic geometry, is developed by combining the oriented projective geometry with the kinematic geometry of rigid body motions.

AB - In recent years, there is an increasing interest in developing geometric algorithms for kinematic computations. The aim of this paper is to present the notion of projective convexity as a key element for a new framework for kinematic geometry, that allows for the development of more elegant and efficient algorithms for geometric computations with kinematic applications. The resulting framework, called computational kinematic geometry, is developed by combining the oriented projective geometry with the kinematic geometry of rigid body motions.

UR - https://www.scopus.com/pages/publications/0036974426

U2 - 10.1115/DETC2002/MECH34281

DO - 10.1115/DETC2002/MECH34281

M3 - Paper

AN - SCOPUS:0036974426

SP - 715

EP - 723

T2 - ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2002

Y2 - 29 September 2002 through 2 October 2002

ER -

Projective convexity in computational kinematic geometry

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