Design Algorithms for B- splines with certain derivatives of the first and second orders at given points

The article describes the algorithms for creating B-splines in space passing through the given points and with the possibility of setting the values of the first and second derivatives at each of these points. This method of determining the spatial curve provides great opportunities for the lines de...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2020-08, Vol.913 (4), p.42009
Main Authors: Zamyatin, A V, Zamyatina, E A, Sopchak, N A
Format: Article
Language:English
Subjects:
Algorithms
B spline functions
CAD
Computer aided design
Software development
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Summary:The article describes the algorithms for creating B-splines in space passing through the given points and with the possibility of setting the values of the first and second derivatives at each of these points. This method of determining the spatial curve provides great opportunities for the lines design and on their basis the surfaces suitable for use in the machine parts, building structures and architectural objects' design. Software developed by the technology Object ARX of the AutoCAD system. This approach significantly reduces time for software development and makes it possible to use a wide range of AutoCAD system tools, both in development, and by the programs using. The developed programs can be used in computer-aided design systems for various objects independently or as modules.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/913/4/042009