Dynamic Shapes of Arbitrary Dimension: The Vector Distance Functions

摘要: We present a novel method for representing and evolving objects of arbitrary dimension. The method, called the Vector Distance Function (VDF) uses vector that connects any point in space to its closest on object. It can deal with smooth manifolds without boundaries shapes different dimensions. be used evolve such according variety motions, including mean curvature. If discontinuous velocity fields are allowed dimension change. evolution we propose guarantees stay class VDFs therefore intrinsic properties underlying as their dimension, curvatures read off easily from VDF spatial derivatives at each time instant. main disadvantage is redundancy: size representation always ambient even though object may much lower This also one strengths since it buys us flexibility.