On representation and interpolation of line-segments for computer aided geometric design

Q. J. Ge; B. Ravani

doi:10.1115/DETC1994-0061

On representation and interpolation of line-segments for computer aided geometric design

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

In this paper, three new representations of a line-segment are introduced that combine Pliicker line coordinates with specifications of length and location of a fine-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed linesegments is developed. These interpolants are then combined with deCasteljau-like algorithms for generating ruled surfaces. The results can be extended to develop new algorithms for computer aided geometric design of geometric shapes based on fine geometry.

Original language	English
Title of host publication	20th Design Automation Conference
Subtitle of host publication	Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering
Publisher	American Society of Mechanical Engineers (ASME)
Pages	191-198
Number of pages	8
ISBN (Electronic)	9780791897676
DOIs	https://doi.org/10.1115/DETC1994-0061
State	Published - 1994
Event	ASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium - Minneapolis, United States Duration: Sep 11 1994 → Sep 14 1994

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	Part F167892-6

Conference

Conference	ASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium
Country/Territory	United States
City	Minneapolis
Period	09/11/94 → 09/14/94

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10.1115/DETC1994-0061

Cite this

Ge, Q. J., & Ravani, B. (1994). On representation and interpolation of line-segments for computer aided geometric design. In 20th Design Automation Conference: Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering (pp. 191-198). (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F167892-6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1994-0061

Ge, Q. J. ; Ravani, B. / On representation and interpolation of line-segments for computer aided geometric design. 20th Design Automation Conference: Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering. American Society of Mechanical Engineers (ASME), 1994. pp. 191-198 (Proceedings of the ASME Design Engineering Technical Conference).

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title = "On representation and interpolation of line-segments for computer aided geometric design",

abstract = "In this paper, three new representations of a line-segment are introduced that combine Pliicker line coordinates with specifications of length and location of a fine-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed linesegments is developed. These interpolants are then combined with deCasteljau-like algorithms for generating ruled surfaces. The results can be extended to develop new algorithms for computer aided geometric design of geometric shapes based on fine geometry.",

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

note = "Publisher Copyright: {\textcopyright} 1994 American Society of Mechanical Engineers (ASME). All rights reserved.; ASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium ; Conference date: 11-09-1994 Through 14-09-1994",

year = "1994",

doi = "10.1115/DETC1994-0061",

language = "English",

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

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

pages = "191--198",

booktitle = "20th Design Automation Conference",

}

Ge, QJ & Ravani, B 1994, On representation and interpolation of line-segments for computer aided geometric design. in 20th Design Automation Conference: Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering. Proceedings of the ASME Design Engineering Technical Conference, vol. Part F167892-6, American Society of Mechanical Engineers (ASME), pp. 191-198, ASME 1994 Design Technical Conferences, DETC 1994, collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium, Minneapolis, United States, 09/11/94. https://doi.org/10.1115/DETC1994-0061

On representation and interpolation of line-segments for computer aided geometric design. / Ge, Q. J.; Ravani, B.
20th Design Automation Conference: Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering. American Society of Mechanical Engineers (ASME), 1994. p. 191-198 (Proceedings of the ASME Design Engineering Technical Conference; Vol. Part F167892-6).

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

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AB - In this paper, three new representations of a line-segment are introduced that combine Pliicker line coordinates with specifications of length and location of a fine-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed linesegments is developed. These interpolants are then combined with deCasteljau-like algorithms for generating ruled surfaces. The results can be extended to develop new algorithms for computer aided geometric design of geometric shapes based on fine geometry.

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Ge QJ, Ravani B. On representation and interpolation of line-segments for computer aided geometric design. In 20th Design Automation Conference: Volume 1 - Dynamic Mechanical Systems; Geometric Modeling and Features; Concurrent Engineering. American Society of Mechanical Engineers (ASME). 1994. p. 191-198. (Proceedings of the ASME Design Engineering Technical Conference). doi: 10.1115/DETC1994-0061

On representation and interpolation of line-segments for computer aided geometric design

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