Poincare球面上的模式编码
Pattern Encoding on the Poincare Sphere
摘要：
本文提出了一种方便的图形工具编码视觉模式（如图像补丁和图像原子）作为点星座的感知功能跨越的空间，并具有清晰的几何解释。受庞加莱球上光波偏振态编码的启发，提出了一般理论和一种实用的模式编码方案。这种新的模式编码方案可以用于图像处理和计算机视觉中的许多应用。在这里，三个可能的应用程序进行说明，在聚类感知相似的模式，可视化学习字典的图像原子和生成新的字典的图像原子从球形代码的属性。
英文摘要：
This paper presents a convenient graphical tool for encoding visual patterns (such as image patches and image atoms) as point constellations in a space spanned by perceptual features and with a clear geometrical interpretation. General theory and a practical pattern encoding scheme are presented, inspired by encoding polarization states of a light wave on the Poincare sphere. This new pattern encoding scheme can be useful for many applications in image processing and computer vision. Here, three possible applications are illustrated, in clustering perceptually similar patterns, visualizing properties of learned dictionaries of image atoms and generating new dictionaries of image atoms from spherical codes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
