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

9305630基米亚这是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，以支持从物体的二维轮廓中识别物体。经典地，由于部分遮挡、对象部分的移动、由于噪声、视点和观察方向的改变、阴影和其他影响而导致投影对象与理想模型的差异，对象识别受到问题的困扰。这个项目用一种通用的形状表示来解决这些问题，它以变形的形式嵌入了这些变化，并且是从第一原理推导出来的。基于该框架实现了一个目标识别系统。理论工作的重点是将该框架扩展到三维表面的分析和表示。最终的结果应该支持对工业应用中出现的复杂问题以及更一般的机器视觉中出现的问题进行对象识别。

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.