A Novel Approach for Surface to Surface Intersection Approximation

Sarfraz, Muhammad; Irshad, Misbah; Sarfraz, Faiza; Hussain, Malik Zawwar

doi:10.1109/iv.2013.63

Cited by 2 publications

(2 citation statements)

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“…eir topology is still confronting problems of error that come up through surface intersection. Also, the methodology in [12] is used for finding characteristics points, but excess of points are calculated for appropriate results.…”

Section: Introductionmentioning

confidence: 99%

Optimal Intersection Curves for Surfaces

Gao¹,

Sarfraz

Irshad

et al. 2021

Journal of Mathematics

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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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Section: Introductionmentioning

confidence: 99%

Optimal Intersection Curves for Surfaces

Gao¹,

Sarfraz

Irshad

et al. 2021

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

show abstract

“…A valuable alternative is the rapid expansion of supercritical solutions (RESS). RESS can be utilized for technical applications ranging from micronization of particles to spray drying as well as for analytical applications based on the transfer of nonvolatile molecules into the gas phase. − The expansion conditions provide control over size and morphology of the final product . In addition, control over the crystal polymorph seems feasible. − …”

Section: Introductionmentioning

confidence: 99%