Abstract. Hand dyeing generates artistic representations with unique and complex patterns. The aesthetics of dyed patterns on a cloth originate from the physical properties of dyei...
—We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution. The simplicial complexes of the alpha shapes are used to determin...
Rien van de Weygaert, Erwin Platen, Gert Vegter, B...
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
—Volumetric parameterization plays an important role for geometric modeling. Due to the complicated topological nature of volumes, it is much more challenging than the surface ca...
Jiazhi Xia, Ying He 0001, Xiaotian Yin, Shuchu Han...
Heterogeneous object design is an active research area in recent years. The conventional CAD modeling approaches only provide geometry and topology of the object, but do not conta...