Splines and graphs

Quartic Beta-splines have third-degree arc-length or geometric continuity at simple knots and are determined by three β or shape parameters. We present a general explicit formula for quartic Beta-splines, and determine and illustrate the effects of ...

Interactive CAGD systems produce faster and more accurate curve and surface analysis and design by means of geometric or algebraic interpolation algorithms, where users can directly modify and edit the position and shape of curves or surfaces. For this ...

Comparability graphs and cover-incomparability graphs (C-I graphs) are two interesting classes of graphs from posets. Comparability graph of a poset $P=(V,\le )$ is a graph with vertex set V and two vertices u and v are adjacent in V if u and v are ...