Parametric continuity and smooth motion interpolation

Lakshmi N. Srinivasan; Q. J. Ge

doi:10.1115/DETC1995-0087

Parametric continuity and smooth motion interpolation

Lakshmi N. Srinivasan
, Q. J. Ge

Mechanical Engineering

Stony Brook University

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

1 Scopus citations

Abstract

This paper deals with the design of a second derivative continuous (C²) motion that interpolates through a.given set of configurations of an object. It derives conditions for blending two motion segments with C²continuity and develops an algorithm for constructing a C²composite Bezier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criteria for evaluating the smoothness of motion is established and is used to synthesize "globally smooth" motions. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.

Original language	English
Title of host publication	21st Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	665-672
Number of pages	8
ISBN (Electronic)	9780791817162
DOIs	https://doi.org/10.1115/DETC1995-0087
State	Published - 1995
Event	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States Duration: Sep 17 1995 → Sep 20 1995

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	1

Conference

Conference	ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
Country/Territory	United States
City	Boston
Period	09/17/95 → 09/20/95

Access to Document

10.1115/DETC1995-0087

Cite this

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title = "Parametric continuity and smooth motion interpolation",

abstract = "This paper deals with the design of a second derivative continuous (C2) motion that interpolates through a.given set of configurations of an object. It derives conditions for blending two motion segments with C2continuity and develops an algorithm for constructing a C2composite Bezier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criteria for evaluating the smoothness of motion is established and is used to synthesize {"}globally smooth{"} motions. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.",

author = "Srinivasan, \{Lakshmi N.\} and Ge, \{Q. J.\}",

note = "Publisher Copyright: {\textcopyright} 1995 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium ; Conference date: 17-09-1995 Through 20-09-1995",

year = "1995",

doi = "10.1115/DETC1995-0087",

language = "English",

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

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

pages = "665--672",

booktitle = "21st Design Automation Conference",

}

Srinivasan, LN & Ge, QJ 1995, Parametric continuity and smooth motion interpolation. in 21st Design Automation Conference. Proceedings of the ASME Design Engineering Technical Conference, vol. 1, American Society of Mechanical Engineers (ASME), pp. 665-672, ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium, Boston, United States, 09/17/95. https://doi.org/10.1115/DETC1995-0087

Parametric continuity and smooth motion interpolation. / Srinivasan, Lakshmi N.; Ge, Q. J.
21st Design Automation Conference. American Society of Mechanical Engineers (ASME), 1995. p. 665-672 (Proceedings of the ASME Design Engineering Technical Conference; Vol. 1).

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

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AB - This paper deals with the design of a second derivative continuous (C2) motion that interpolates through a.given set of configurations of an object. It derives conditions for blending two motion segments with C2continuity and develops an algorithm for constructing a C2composite Bezier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criteria for evaluating the smoothness of motion is established and is used to synthesize "globally smooth" motions. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.

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M3 - Conference contribution

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Y2 - 17 September 1995 through 20 September 1995

ER -

Parametric continuity and smooth motion interpolation

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