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2013

2013

The beta-complex is the most compact and efficient representation of molecular structure as it stores the precise proximity among…

2013

2013

Voronoi diagrams, quasi-triangulations, and beta-complexes are powerful for solving spatial problems among spherical particles…

2012

2012

Abstract A quasi-triangulation is the dual structure of the Voronoi diagram of spherical balls and its properties and algorithms…

2012

2012

Given a quasi-triangulation, the dual structure of the Voronoi diagram of a molecule, querying its simplexes of a particular…

Highly Cited

2010

Highly Cited

2010

Quasi-triangulation is the dual structure of the Voronoi diagram of spheres, and it has been used as a convenient and powerful…

Highly Cited

2010

Highly Cited

2010

The proximity and topology among particles are often the most important factor for understanding the spatial structure of…

2010

2010

Given a quasi-triangulation of a molecule, searching the simplexes of a particular bounding state for the spherical probe of a…

2008

2008

To understand the structure of molecules, various computational methodologies have been extensively investigated such as the…

2007

2007

The concept of a β-shape has been recently proposed by extending the concept of the well-known α-shape. Since the β-shape takes…

Highly Cited

2006

Highly Cited

2006

Abstract It is well-known that the Voronoi diagram of points and the power diagram for weighted points, such as spheres, are cell…