File:Calculating the self-intersections of Bezier curves (IA calculatingselfi00lass).pdf

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Original file ‎(1,162 × 1,602 pixels, file size: 2 MB, MIME type: application/pdf, 44 pages)

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Summary

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Calculating the self-intersections of Bezier curves   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
Lasser, Dieter.
image of artwork listed in title parameter on this page
Title
Calculating the self-intersections of Bezier curves
Publisher
Monterey, California : Naval Postgraduate School
Description
Cover title
"NPS-53-88-001."
"March 1988."
AD-A192 371
Includes bibliographical references (p. 35-36)
A user-friendly divide-and-conquer algorithm is presented for finding all the self intersection points of a parametric curve in the Bernstein-Bezier representation. The underlying idea of the algorithm is to deal with the Bexier polygon instead of the curve description itself. By alternately subdividing the Bezier polygon and estimating the self intersection regions the self intersection points are finally approximated by straight line intersections of the refined Bezier polygons. The algorithm also calculates the parameter values of the self intersection points. In addition to the convex hull and the approximation property of the Bezier polygon the working of the algorithm is based on a very intuitive angle criterion. Keywords: Bezier curves; Spline curves; Intersection
aq/aq cc:9116 06/06/97

Subjects: CURVES(GEOMETRY).
Language en_US
Publication date March 1988
publication_date QS:P577,+1988-03-00T00:00:00Z/10
Current location
IA Collections: navalpostgraduateschoollibrary; fedlink; americana
Accession number
calculatingselfi00lass
Notes some content may be lost due to the binding of the book.
Authority file  OCLC: 1041649679
Source
Internet Archive identifier: calculatingselfi00lass
https://archive.org/download/calculatingselfi00lass/calculatingselfi00lass.pdf

Licensing

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Public domain
This work is in the public domain in the United States because it is a work prepared by an officer or employee of the United States Government as part of that person’s official duties under the terms of Title 17, Chapter 1, Section 105 of the US Code. Note: This only applies to original works of the Federal Government and not to the work of any individual U.S. state, territory, commonwealth, county, municipality, or any other subdivision. This template also does not apply to postage stamp designs published by the United States Postal Service since 1978. (See § 313.6(C)(1) of Compendium of U.S. Copyright Office Practices). It also does not apply to certain US coins; see The US Mint Terms of Use.
This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights.

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