Construction Approach of Quartic PH Curves with Parameter
- 1 January 2023
- journal article
- Published by Hans Publishers in Pure Mathematics
- Vol. 13 (03), 395-404
- https://doi.org/10.12677/pm.2023.133043
Abstract
The geometric characteristics and the geometric construction method of quartic PH curve with parameter are discussed. First, we define a class of quartic m-Bernstein basis function with a shape parameter. Then the quartic m-Bézier curve is obtained. By introducing the auxiliary control vertex, the geometric characteristic conditions for quartic m-Bézier curve becoming PH curve is given. We propose a new geometric construction approach of quartic PH curve with parameter. And the error analysis is given. The validity and feasibility of the study are verified by numerical examples.Keywords
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