"A Hamilton-Jacobi Formulation of a Robust Object Recognition System"

9305630 Kimia这是一个为期三年的连续奖项的第一年。 该研究解决了形状描述的问题，以支持识别的对象，从他们的二维轮廓。 传统上，由于部分遮挡、对象部分的移动、噪声引起的退化、视点和观看方向的改变、阴影和其他影响，投影对象与理想模型的变化，对象识别受到问题的困扰。 该项目通过形状的通用表示来解决这些问题，该表示以变形的形式嵌入这些变化，并源自第一性原理。 基于此框架实现了一个目标识别系统。理论上的努力集中在扩展的框架，在三维表面的分析和表示。 最终的结果应该支持对象识别，除了那些出现在更一般的机器视觉中的复杂问题，在工业应用中出现的。

9305630 Kimia This is the first year of a three-year continuing award. The research addresses the problem of shape description to support the recognition of objects from their two-dimensional profiles. Classically, object recognition is plagued with problems due to variations of the projected objects from the ideal model due to partial occlusion, movement of object parts, degradation due to noise, changes in viewpoint and viewing direction, shadows, and other effects. This project addresses these problems with a general purpose representation for shape which embeds these variations in the form of deformations and is derived from first principles. An object recognition system will be implemented based on this framework. The theoretical effort is focused on extending the framework to the analysis and representation of surfaces in three-dimensions. The final result should support object recognition for the complex problems that arise in industrial applications in addition to those that arise in more general machine vision.