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Published in:
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2018 | OriginalPaper | Chapter

1. Representation of Curves on a Plane

Author : Buntara S. Gan

Published in: An Isogeometric Approach to Beam Structures

Publisher: Springer International Publishing

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Abstract

In this chapter, we will discuss in detail several methods of representing curves in geometric modeling. Unlike the other books which usually start from the standard basic theories behind the equations, this chapter will lead us directly on how to find equations or functions from a given set of data points. This following and connected subsection will reveal the techniques of representing the curves in real applications of beam geometric modeling. The objective of this chapter is to bring the reader to understand the concept of the nonuniform rational B-spline (NURBS) which is the basis foundation for the construction of beam element formulations in the Isogeometric approach.

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next chapter Numerical Integration
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Metadata
Title
Representation of Curves on a Plane
Author
Buntara S. Gan
Copyright Year
2018
Book
An Isogeometric Approach to Beam Structures

Print ISBN: 978-3-319-56492-0

Electronic ISBN: 978-3-319-56493-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-56493-7_1

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