Computer aided geometric design of motion interpolants

Q. J. Ge; B. Ravani

doi:10.1115/DETC1991-0103

Computer aided geometric design of 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 studies continuous computational geometry of motions and develops a method for Computer Aided Geometric Design (CAGD) of motion interpolants. The approach uses a mapping of spatial kinematics to convert the problem of interpolating displacements to point interpolation in the space of the mapping. To facilitate the point interpolation, the previously non-oriented mapping space is made orientable. Methods are then developed for designing spline curves in the mapping space with tangent, curvature and torsion continuities. The results have application in computer animation of three dimensional objects used in computer graphics, computer vision and simulation of mechanical systems.

Original language	English
Title of host publication	Finite Elements/Computational Geometry; Computers in Education; Robotics and Controls
Publisher	American Society of Mechanical Engineers (ASME)
Pages	33-41
Number of pages	9
ISBN (Electronic)	9780791806234, 9780791897768
DOIs	https://doi.org/10.1115/DETC1991-0103
State	Published - 1991
Event	ASME 1991 Design Technical Conferences, DETC 1991 - Miami, United States Duration: Sep 22 1991 → Sep 25 1991

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	2

Conference

Conference	ASME 1991 Design Technical Conferences, DETC 1991
Country/Territory	United States
City	Miami
Period	09/22/91 → 09/25/91

Access to Document

10.1115/DETC1991-0103

Cite this

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title = "Computer aided geometric design of motion interpolants",

abstract = "This paper studies continuous computational geometry of motions and develops a method for Computer Aided Geometric Design (CAGD) of motion interpolants. The approach uses a mapping of spatial kinematics to convert the problem of interpolating displacements to point interpolation in the space of the mapping. To facilitate the point interpolation, the previously non-oriented mapping space is made orientable. Methods are then developed for designing spline curves in the mapping space with tangent, curvature and torsion continuities. The results have application in computer animation of three dimensional objects used in computer graphics, computer vision and simulation of mechanical systems.",

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

note = "Publisher Copyright: {\textcopyright} 1991 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1991 Design Technical Conferences, DETC 1991 ; Conference date: 22-09-1991 Through 25-09-1991",

year = "1991",

doi = "10.1115/DETC1991-0103",

language = "English",

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

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

pages = "33--41",

booktitle = "Finite Elements/Computational Geometry; Computers in Education; Robotics and Controls",

}

Ge, QJ & Ravani, B 1991, Computer aided geometric design of motion interpolants. in Finite Elements/Computational Geometry; Computers in Education; Robotics and Controls. Proceedings of the ASME Design Engineering Technical Conference, vol. 2, American Society of Mechanical Engineers (ASME), pp. 33-41, ASME 1991 Design Technical Conferences, DETC 1991, Miami, United States, 09/22/91. https://doi.org/10.1115/DETC1991-0103

Computer aided geometric design of motion interpolants. / Ge, Q. J.; Ravani, B.
Finite Elements/Computational Geometry; Computers in Education; Robotics and Controls. American Society of Mechanical Engineers (ASME), 1991. p. 33-41 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 2).

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

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N2 - This paper studies continuous computational geometry of motions and develops a method for Computer Aided Geometric Design (CAGD) of motion interpolants. The approach uses a mapping of spatial kinematics to convert the problem of interpolating displacements to point interpolation in the space of the mapping. To facilitate the point interpolation, the previously non-oriented mapping space is made orientable. Methods are then developed for designing spline curves in the mapping space with tangent, curvature and torsion continuities. The results have application in computer animation of three dimensional objects used in computer graphics, computer vision and simulation of mechanical systems.

AB - This paper studies continuous computational geometry of motions and develops a method for Computer Aided Geometric Design (CAGD) of motion interpolants. The approach uses a mapping of spatial kinematics to convert the problem of interpolating displacements to point interpolation in the space of the mapping. To facilitate the point interpolation, the previously non-oriented mapping space is made orientable. Methods are then developed for designing spline curves in the mapping space with tangent, curvature and torsion continuities. The results have application in computer animation of three dimensional objects used in computer graphics, computer vision and simulation of mechanical systems.

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M3 - Conference contribution

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T3 - Proceedings of the ASME Design Engineering Technical Conference

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BT - Finite Elements/Computational Geometry; Computers in Education; Robotics and Controls

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 1991 Design Technical Conferences, DETC 1991

Y2 - 22 September 1991 through 25 September 1991

ER -

Computer aided geometric design of motion interpolants

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