Recognising curved surfaces from their outlines

这是该奖项为期三年的第一年。本研究利用对偶曲面的概念来探讨曲面识别的理论和实验问题。该项目正在研究曲面的轮廓产生曲面的完整射影几何（包括代数曲面，以及其他可以发现存在的曲面）的曲面类，以及轮廓产生一些但不是所有射影不变量的曲面类。理论研究将通过算法实现来帮助识别使用从轮廓测量的射影不变量的广泛表面。

This is the first year of a three-year continuing award. The research uses the concept of the dual surface to investigate theoretical and experimental questions related to recognizing curved surfaces. The project is investigating classes of surface for which the outline yields the complete projective geometry of the surface (including algebraic surfaces, and others if they can be found to exist), and classes of surface for which the outline yields some, but not all projective invariants. The theoretical investigation will be aided by algorithm implementation for recognition of a wide range of surfaces using projective invariants measured from the outline.