Skeleton-Based Parametric 2-D Region Representation: Disk B-Spline Curves

The skeleton, or medial axis, is an important attribute of 2-D shapes. disk B-spline curve (DBSC) a skeleton-based parametric freeform region representation, which defined in the form. DBSC describes not only region, suitable for describing heterogeneous materials but also center (skeleton) explicitly, animation, simulation, and recognition. In addition to being useful error estimation curve, can be used designing animating regions. Despite increasing applications, its theory fundamentals have been thoroughly investigated. this article, we discuss several fundamental properties algorithms, such as de Boor algorithm DBSCs. We first derive explicit evaluation derivatives formulas at arbitrary points (interior boundary) represented by then provide object representation. introduce modeling interactive design methods DBSC, consolidates supports further applications.