Constructing 3D motions from curvature and torsion profiles

Robert Cripps; G Mullineux

doi:10.1016/j.cad.2012.01.004

Constructing 3D motions from curvature and torsion profiles

Robert Cripps, G Mullineux

Mechanical Engineering

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

A means for constructing a free-form motion in three dimensions is given. A sparse sequence of prescribed poses is used to guide the motion, and some of these can also be specified to be precision poses through which the motion must pass. The resultant motion is given in a sequence of refined poses. Geometric algebra is used to specify these in a way that is analogous to the use of complex numbers in an equivalent approach for free-form curves. (C) 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	379-387
Number of pages	9
Journal	Computer-Aided Design
Volume	44
Issue number	5
DOIs	https://doi.org/10.1016/j.cad.2012.01.004
Publication status	Published - 1 May 2012

Keywords

Free-form motion
Free-form curve
Torsion
Point-based representation
Geometric algebra
Curvature

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10.1016/j.cad.2012.01.004

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AB - A means for constructing a free-form motion in three dimensions is given. A sparse sequence of prescribed poses is used to guide the motion, and some of these can also be specified to be precision poses through which the motion must pass. The resultant motion is given in a sequence of refined poses. Geometric algebra is used to specify these in a way that is analogous to the use of complex numbers in an equivalent approach for free-form curves. (C) 2012 Elsevier Ltd. All rights reserved.

KW - Free-form motion

KW - Free-form curve

KW - Torsion

KW - Point-based representation

KW - Geometric algebra

KW - Curvature

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DO - 10.1016/j.cad.2012.01.004

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SP - 379

EP - 387

JO - Computer-Aided Design

JF - Computer-Aided Design

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Constructing 3D motions from curvature and torsion profiles

Abstract

Keywords

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