Modeling and Recognizing Curved Surfaces from Image Outlines

从单一角度识别物体是困难的，因为它们的外观主要取决于观察它们的方向。曲面特别容易受到这种影响。本研究的重点是通过理论研究和实际实施，沿着两条调查路线，从单一视角图像的轮廓识别曲面。对于一般代数曲面，这个问题已经由首席研究员解决了。结果表明，图像轮廓包含了大量关于物体形状的信息。该研究将研究将这一结果扩展到更广泛的流行表面，并将研究应用所得算法的实用性。PI及其同事最近的工作表明，有很大范围的表面模型本质上很容易识别。这些结果建议建立一个面向计算机视觉应用的表面建模器，由此产生的模型将更容易从任何视图中识别。本研究将探讨构建这样一个建模器所涉及的理论问题，并将实现具有这些属性的简单建模系统。

Recognizing objects from a single view is hard, because their appearance depends crucially on the direction from which they are viewed. Curved surfaces are particularly subject to this effect. This research concentrates on recognizing curved surfaces from their outline in a single perspective image, using both theoretical studies and practical implementations, along two lines of investigation. The problem has already been solved for generic algebraic surfaces by the Principal Investigator. The result indicates that an image outline contains substantial amounts of information about an object's shape. The research will investigate extending this result to a wider range of popular surfaces, and will also investigate the practicalities of applying the resulting algorithms. Recent work by the PI and colleagues suggests that there is a large range of surface models which are intrinsically easy to recognize. These results suggest building a surface modeller oriented specifically towards computer vision applications, where the resulting models would be a fortiori easy to identify from any view. The research will investigate theoretical issues involved in constructing such a modeller, and will implement simple modelling system with these properties.