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http://dx.doi.org/10.13160/ricns.2014.7.2.124

Construction of Logarithmic Spiral-like Curve Using G2 Quadratic Spline with Self Similarity  

Lee, Ryeong (Department of Mathematics Education, Chosun University)
Ahn, Young Joon (Department of Mathematics Education, Chosun University)
Publication Information
Journal of Integrative Natural Science / v.7, no.2, 2014 , pp. 124-129 More about this Journal
Abstract
In this paper, we construct an logarithmic spiral-like curve using curvature-continuous quadratic spline and quadratic rational spline. The quadratic (rational) spline has self-similarity. We present some properties of the quadratic spline. Also using this $G^2$ quadratic spline, an approximation of logarithmic spiral is proposed and error analysis is obtained.
Keywords
Logarithmic Spiral Curve; Curvature-continuous Spline; Quadratic Spline; Quadratic Rational Spline; Quadratic B$\acute{e}$zier Curve;
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