用四元数流形表示彩色图像集，实现高效识别。
Color Image Set Recognition Based on Quaternionic Grassmannians
- 用四元数建模颜色信息，将图像集映射到流形点
- 直接计算流形上两点最短距离，提升分类效率
- 适合处理带颜色信息的图像集合识别任务
我们提出一种基于四元数流形的彩色图像集识别方法，利用四元数捕捉颜色信息，并将每个彩色图像集表示为四元数流形上的一个点。本文给出流形上两点间最短距离的直接计算公式，并基于该距离构建新的分类框架。在ETH-80基准数据集和高速公路交通视频数据集上的实验表明，该方法取得了良好的识别效果。同时，我们讨论了方法在稳定性方面的局限性，并提出了未来改进方向。
原文摘要 · Abstract (English)
We propose a new method for recognizing color image sets using quaternionic Grassmannians, which use the power of quaternions to capture color information and represent each color image set as a point on the quaternionic Grassmannian. We provide a direct formula to calculate the shortest distance between two points on the quaternionic Grassmannian, and use this distance to build a new classification framework. Experiments on the ETH-80 benchmark dataset and and the Highway Traffic video dataset show that our method achieves good recognition results. We also discuss some limitations in stability and suggest ways the method can be improved in the future.
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