Surface Representation Based on Invariant Characteristics

Abstract

This paper presents a surface representation approach based on 3D invariant characteristics. The basic idea is to represent a surface by dominant points which have important shape attributes. To determine dominant points, we propose a criterion based on 3D invariant (characteristics of surfaces, which we call mean-square curvature. This quantity has some desirable properties and, is suitable for dominant point selection. It also allows of a physical explanation. Using mean-square curvature, we develop an algorithm for dominant point selection. These dominant points are then triangulated in 3D space to construct a wireframe model to represent the surface. Moreover, surface is interpolated based on the model and representation error is shown.