Optimal Intersection Curves for Surfaces | Zendy

Jiwen Gao | Zendy; Faiza Sarfraz | Zendy; Misbah Irshad | Zendy; Jia Liu | Zendy

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Optimal Intersection Curves for Surfaces

Author(s) -

Jiwen Gao,

Faiza Sarfraz,

Misbah Irshad,

Jia Liu

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/9945984

Subject(s) - mathematics , intersection (aeronautics) , parametric surface , spline (mechanical) , parametric statistics , robustness (evolution) , algorithm , parametric equation , boundary (topology) , mathematical optimization , geometry , mathematical analysis , statistics , biochemistry , chemistry , structural engineering , engineering , gene , aerospace engineering

In this article, an algorithm has been established to approximate parametric-parametric, explicit-implicit, and explicit-explicit surface intersection. Foremost, it extracts the characteristic points (boundary and turning points) from the sequence of intersection points and fits an optimal cubic spline curve to these points. Moreover, this paper utilizes genetic algorithm (GA) for optimization of shape parameters in the portrayal of cubic spline so that the error is minimal. The proposed algorithm is demonstrated with different types of surfaces to analyze its robustness and proficiency. In the end, all illustrations show the effectiveness of the algorithm which makes it more influential to resolve all complexities arises during intersection with a minimal error.

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