Constructing 3D motions from curvature and torsion profiles

R J Cripps; Glen Mullineux

doi:10.1016/j.cad.2012.01.004

Constructing 3D motions from curvature and torsion profiles

R J Cripps, Glen Mullineux

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

8 Citations (SciVal)

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.

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 - May 2012

Keywords

free-form motion
point-based representation
geometric algebra
torsion
curvature
free-form curve

Access to Document

10.1016/j.cad.2012.01.004

Cite this

@article{6c06cca87eb447739c2d80b70f6646be,

title = "Constructing 3D motions from curvature and torsion profiles",

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.",

keywords = "free-form motion, point-based representation, geometric algebra, torsion, curvature, free-form curve",

author = "Cripps, {R J} and Glen Mullineux",

year = "2012",

month = may,

doi = "10.1016/j.cad.2012.01.004",

language = "English",

volume = "44",

pages = "379--387",

journal = "Computer-Aided Design",

issn = "0010-4485",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Constructing 3D motions from curvature and torsion profiles

AU - Cripps, R J

AU - Mullineux, Glen

PY - 2012/5

Y1 - 2012/5

N2 - 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.

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.

KW - free-form motion

KW - point-based representation

KW - geometric algebra

KW - torsion

KW - curvature

KW - free-form curve

UR - http://www.scopus.com/inward/record.url?scp=84856564635&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.cad.2012.01.004

U2 - 10.1016/j.cad.2012.01.004

DO - 10.1016/j.cad.2012.01.004

M3 - Article

SN - 0010-4485

VL - 44

SP - 379

EP - 387

JO - Computer-Aided Design

JF - Computer-Aided Design

IS - 5

ER -

Constructing 3D motions from curvature and torsion profiles

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this