A point sampling algorithm for 3D matching of irregular geometries

Author(s):  
Tolga Birdal ◽  
Slobodan Ilic
2021 ◽  
Author(s):  
Bingren CHEN ◽  
Jinlong LI ◽  
Qian ZHAO ◽  
Xiaorong GAO ◽  
Lin LUO

Point sampling is essential for the conversion of planar curves to B-spline curves in geometric modelling applications. Conversion of parametric curve to B-Spline curve is often required as the latter provides the flexibility sought by the designer. Sampling methods generally ignores the feature points, which indicates the curve profile intuitively and they require user intervention. There is a need for generalized point sampling algorithm to capture the original shape of the planar curves. Auxiliary points are also needed which helps to define the curve and gives the better conversion into B-Spline curve. In this work, we developed a generalized point sampling algorithm based on fireworks algorithm for the conversion of parametric curve to B-spline curves. It is used curvature-based information to identify the feature points, while Fireworks algorithm is used for the identification of the auxiliary points. Developed algorithm was tested against curves with irregular shapes and cusps with no need of user intervention to tune the algorithm for conversion.


Author(s):  
Sauro Succi

The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.


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