Geometric construction of bezier type motion interpolants

Q. J. Ge; B. Ravani

doi:10.1115/detc1992-0335

Geometric construction of bezier type motion interpolants

Q. J. Ge
, B. Ravani

Mechanical Engineering

University of California at Davis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper deals with discrete computational geometry of motions and develops geometric construction algorithms for interpolating inbetween rigid displacements. It combines concepts from the fields of kinematics and computational geometry and develops a computational framework for constructing motion interpolants useful in mechanical systems animation, robot trajectory planning and key framing in computer graphics. A de Casteljau type algorithm is presented for constructing Bezier and rational Bezier motion interpolants. In addition, the problem of achieving higher order of continuity in piecing together motion interpolants is studied. A geometric construction algorithm is presented for designing continuous motion interpolants.

Original language	English
Title of host publication	22nd Biennial Mechanisms Conference
Subtitle of host publication	Mechanism Design and Synthesis
Publisher	American Society of Mechanical Engineers (ASME)
Pages	511-517
Number of pages	7
ISBN (Electronic)	9780791809402
DOIs	https://doi.org/10.1115/detc1992-0335
State	Published - 1992
Event	ASME 1992 Design Technical Conferences, DETC 1992 - Scottsdale, United States Duration: Sep 13 1992 → Sep 16 1992

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	Part F168016-3

Conference

Conference	ASME 1992 Design Technical Conferences, DETC 1992
Country/Territory	United States
City	Scottsdale
Period	09/13/92 → 09/16/92

Keywords

Computational Geometry
Computational Kinematics
Computer Aided Animation
Quaternions

Access to Document

10.1115/detc1992-0335

Cite this

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title = "Geometric construction of bezier type motion interpolants",

abstract = "This paper deals with discrete computational geometry of motions and develops geometric construction algorithms for interpolating inbetween rigid displacements. It combines concepts from the fields of kinematics and computational geometry and develops a computational framework for constructing motion interpolants useful in mechanical systems animation, robot trajectory planning and key framing in computer graphics. A de Casteljau type algorithm is presented for constructing Bezier and rational Bezier motion interpolants. In addition, the problem of achieving higher order of continuity in piecing together motion interpolants is studied. A geometric construction algorithm is presented for designing continuous motion interpolants.",

keywords = "Computational Geometry, Computational Kinematics, Computer Aided Animation, Quaternions",

author = "Ge, \{Q. J.\} and B. Ravani",

note = "Publisher Copyright: {\textcopyright} 1992 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1992 Design Technical Conferences, DETC 1992 ; Conference date: 13-09-1992 Through 16-09-1992",

year = "1992",

doi = "10.1115/detc1992-0335",

language = "English",

series = "Proceedings of the ASME Design Engineering Technical Conference",

publisher = "American Society of Mechanical Engineers (ASME)",

pages = "511--517",

booktitle = "22nd Biennial Mechanisms Conference",

}

Ge, QJ & Ravani, B 1992, Geometric construction of bezier type motion interpolants. in 22nd Biennial Mechanisms Conference: Mechanism Design and Synthesis. Proceedings of the ASME Design Engineering Technical Conference, vol. Part F168016-3, American Society of Mechanical Engineers (ASME), pp. 511-517, ASME 1992 Design Technical Conferences, DETC 1992, Scottsdale, United States, 09/13/92. https://doi.org/10.1115/detc1992-0335

Geometric construction of bezier type motion interpolants. / Ge, Q. J.; Ravani, B.
22nd Biennial Mechanisms Conference: Mechanism Design and Synthesis. American Society of Mechanical Engineers (ASME), 1992. p. 511-517 (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F168016-3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Geometric construction of bezier type motion interpolants

AU - Ge, Q. J.

AU - Ravani, B.

PY - 1992

Y1 - 1992

N2 - This paper deals with discrete computational geometry of motions and develops geometric construction algorithms for interpolating inbetween rigid displacements. It combines concepts from the fields of kinematics and computational geometry and develops a computational framework for constructing motion interpolants useful in mechanical systems animation, robot trajectory planning and key framing in computer graphics. A de Casteljau type algorithm is presented for constructing Bezier and rational Bezier motion interpolants. In addition, the problem of achieving higher order of continuity in piecing together motion interpolants is studied. A geometric construction algorithm is presented for designing continuous motion interpolants.

AB - This paper deals with discrete computational geometry of motions and develops geometric construction algorithms for interpolating inbetween rigid displacements. It combines concepts from the fields of kinematics and computational geometry and develops a computational framework for constructing motion interpolants useful in mechanical systems animation, robot trajectory planning and key framing in computer graphics. A de Casteljau type algorithm is presented for constructing Bezier and rational Bezier motion interpolants. In addition, the problem of achieving higher order of continuity in piecing together motion interpolants is studied. A geometric construction algorithm is presented for designing continuous motion interpolants.

KW - Computational Geometry

KW - Computational Kinematics

KW - Computer Aided Animation

KW - Quaternions

UR - https://www.scopus.com/pages/publications/85104206023

U2 - 10.1115/detc1992-0335

DO - 10.1115/detc1992-0335

M3 - Conference contribution

AN - SCOPUS:85104206023

T3 - Proceedings of the ASME Design Engineering Technical Conference

SP - 511

EP - 517

BT - 22nd Biennial Mechanisms Conference

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1992 Design Technical Conferences, DETC 1992

Y2 - 13 September 1992 through 16 September 1992

ER -

Geometric construction of bezier type motion interpolants

Abstract

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Conference

Keywords

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