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

Q. J. Ge; B. Ravani

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

Q. J. Ge
, B. Ravani

Mechanical Engineering

Stony Brook University

Stony Brook University

Research output: Contribution to conference › Paper › peer-review

13 Scopus citations

Abstract

In this paper, three new representations of a line-segment are introduced that combine Plucker line coordinates with specifications of length and location of a line-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed line-segments 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 line geometry.

Original language	English
Pages	191-198
Number of pages	8
State	Published - 1994
Event	Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2) - Minneapolis, MN, USA Duration: Sep 11 1994 → Sep 14 1994

Conference

Conference	Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2)
City	Minneapolis, MN, USA
Period	09/11/94 → 09/14/94

Cite this

@conference{e86fe1a7bf32409b8a66832010a31d67,

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 Plucker line coordinates with specifications of length and location of a line-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed line-segments 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 line geometry.",

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

year = "1994",

language = "English",

pages = "191--198",

note = "Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2) ; Conference date: 11-09-1994 Through 14-09-1994",

}

TY - CONF

T1 - On representation and interpolation of line-segments for computer aided geometric design

AU - Ge, Q. J.

AU - Ravani, B.

PY - 1994

Y1 - 1994

N2 - In this paper, three new representations of a line-segment are introduced that combine Plucker line coordinates with specifications of length and location of a line-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed line-segments 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 line geometry.

AB - In this paper, three new representations of a line-segment are introduced that combine Plucker line coordinates with specifications of length and location of a line-segment. For each of the three line-segment representations, a right conoidal interpolant of two arbitrarily disposed line-segments 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 line geometry.

UR - https://www.scopus.com/pages/publications/0028602238

M3 - Paper

SP - 191

EP - 198

T2 - Proceedings of the 1994 ASME Design Technical Conferences. Part 1 (of 2)

Y2 - 11 September 1994 through 14 September 1994

ER -

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

Abstract

Conference

Other files and links

Fingerprint

Cite this