Trimming swept volumes

Denis Blackmore; Roman Samulyak; Ming C. Leu

doi:10.1016/S0010-4485(99)00017-2

Trimming swept volumes

Denis Blackmore
, Roman Samulyak
, Ming C. Leu

Applied Mathematics and Statistics

New York University
New Jersey Institute of Technology

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

The trimming problem for swept volumes - concerning the excision of points ostensibly on the boundary that actually lie in the swept volume interior - is investigated in detail. Building upon several techniques that have appeared in the literature, efficient methods for both local and global trimming of swept volume are developed. These methods are shown to be computationally cost effective when combined with the sweep-envelope differential equation algorithm for the approximate calculation and graphical rendering of swept volumes for quite general objects and sweeps. Examples are presented to demonstrate the efficacy of the trimming strategies.

Original language	English
Pages (from-to)	215-223
Number of pages	9
Journal	CAD Computer Aided Design
Volume	31
Issue number	3
DOIs	https://doi.org/10.1016/S0010-4485(99)00017-2
State	Published - Mar 1999

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10.1016/S0010-4485(99)00017-2

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title = "Trimming swept volumes",

abstract = "The trimming problem for swept volumes - concerning the excision of points ostensibly on the boundary that actually lie in the swept volume interior - is investigated in detail. Building upon several techniques that have appeared in the literature, efficient methods for both local and global trimming of swept volume are developed. These methods are shown to be computationally cost effective when combined with the sweep-envelope differential equation algorithm for the approximate calculation and graphical rendering of swept volumes for quite general objects and sweeps. Examples are presented to demonstrate the efficacy of the trimming strategies.",

author = "Denis Blackmore and Roman Samulyak and Leu, \{Ming C.\}",

year = "1999",

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journal = "CAD Computer Aided Design",

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number = "3",

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T1 - Trimming swept volumes

AU - Blackmore, Denis

AU - Samulyak, Roman

AU - Leu, Ming C.

PY - 1999/3

Y1 - 1999/3

N2 - The trimming problem for swept volumes - concerning the excision of points ostensibly on the boundary that actually lie in the swept volume interior - is investigated in detail. Building upon several techniques that have appeared in the literature, efficient methods for both local and global trimming of swept volume are developed. These methods are shown to be computationally cost effective when combined with the sweep-envelope differential equation algorithm for the approximate calculation and graphical rendering of swept volumes for quite general objects and sweeps. Examples are presented to demonstrate the efficacy of the trimming strategies.

AB - The trimming problem for swept volumes - concerning the excision of points ostensibly on the boundary that actually lie in the swept volume interior - is investigated in detail. Building upon several techniques that have appeared in the literature, efficient methods for both local and global trimming of swept volume are developed. These methods are shown to be computationally cost effective when combined with the sweep-envelope differential equation algorithm for the approximate calculation and graphical rendering of swept volumes for quite general objects and sweeps. Examples are presented to demonstrate the efficacy of the trimming strategies.

UR - https://www.scopus.com/pages/publications/0032674466

U2 - 10.1016/S0010-4485(99)00017-2

DO - 10.1016/S0010-4485(99)00017-2

M3 - Article

AN - SCOPUS:0032674466

SN - 0010-4485

VL - 31

SP - 215

EP - 223

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

IS - 3

ER -

Trimming swept volumes

Abstract

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