Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines

Joint Authors

Zhang, Xiaolei
Wu, Jinming

Source

Mathematical Problems in Engineering

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-11-25

Country of Publication

Egypt

No. of Pages

12

Main Subjects

Civil Engineering

Abstract EN

This paper presents an algorithm to solve the approximate implicitization of planar parametric curves using cubic algebraic splines.

It applies piecewise cubic algebraic curves to give a global G2 continuity approximation to planar parametric curves.

Approximation error on approximate implicitization of rational curves is given.

Several examples are provided to prove that the proposed method is flexible and efficient.

American Psychological Association (APA)

Zhang, Xiaolei& Wu, Jinming. 2009. Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-463842

Modern Language Association (MLA)

Zhang, Xiaolei& Wu, Jinming. Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines. Mathematical Problems in Engineering No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-463842

American Medical Association (AMA)

Zhang, Xiaolei& Wu, Jinming. Approximate Implicitization of Parametric Curves Using Cubic Algebraic Splines. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-463842

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463842