Educational Supplement to Research Initiaion Award: MachineVision

场景中的点在被照亮时不仅会反射光线， 传感器的方向，而且在它们之间。 这些 相互反射可以明显地改变 现场 现有的视觉传感器和算法不能解释 相互反射的影响，因此往往产生错误的 结果 一项初步调查研究了 形状信息上的相互反射恢复的形状从- 强度方法（例如光度立体）。 发现 对于朗伯曲面，错误（伪）形状 在存在相互反射的情况下恢复的图像是唯一的，并且可以 在数学上与实际形状相关。 一种算法具有 已经开发了一种使用物理相互反射模型的方法， 从伪形状恢复表面的实际形状。 本研究将在以下几个方面展开。 (1)非朗伯（例如镜面）的分析 相互反射 这需要数学的发展 非朗伯互反射模型及其 应用于恢复精确形状的问题， 存在相互反射。 (2)检测和纠正 现有视觉传感器（点扫描仪， 光条纹测距仪，立体声系统）的结果， 相互反射 对于每个传感器，传感器模型用于 获得有助于分析的物理约束 相互反射 所有分析结果将由以下人员进行验证： 实验室实验 这项研究应达到（a） 间反射分析的基本进展和（B） 视觉传感技术的实质性改进。

Points in scene, when illuminated, reflect light not only in the direction of the sensor but also between themselves. These interreflections can appreciably alter the appearance of the scene. Existing vision sensors and algorithms do not account for the effects of interreflections and hence often produce erroneous results. An initial investigation studied the effects of interreflections on shape information recovered by shape-from- intensity methods (e.g. photometric stereo). It was discovered that, for Lambertian surfaces, the erroneous (pseudo) shape recovered in the presence of interreflections is unique and can be mathematically related to the actual shape. An algorithm has been developed that uses a physical interreflection model to recover the actual shape of the surface from the psuedo shape. The research will be extended in the following directions. (1) The analysis of non-Lambertian (e.g. specular) interreflections. This entails the development of mathematical models for non-Lambertian interreflections as well as their application to the problem of recovering accurate shape in the presence of interreflections. (2) The detection and correction of errors produced by existing vision sensors (spot scanners, light stripe range finders, stereo systems) as a result of interreflections. For each sensor, a sensor model is used to obtain physical constraints that aid the analysis of interreflections. All analytical results will be verified by laboratory experiments. This research should achieve (a) fundamental advances in the analysis of interreflections and (b) substantial improvements in vision sensing technology.