Bendlets：一种带Bent元素的二阶Shearlet变换
Bendlets: A Second-Order Shearlet Transform with Bent Elements
摘要：
我们介绍bendlets，剪切类系统，是基于各向异性的缩放，平移，剪切，和弯曲的companies支持的发电机。在空间坐标系中，剪切是线性的，弯曲是二次的，bendlets提供了我们称之为二阶剪切波系统。正如我们在这篇文章中所展示的，相关变换的衰减率使分段常数图像中不连续性的位置、方向和曲率的精确表征成为可能。这些结果产生了改进现有的方向表示系统，其中曲率只控制常数的衰减率的变换。我们还详细介绍了任意阶剪切波系统的建设。作为ShearLab工具箱的扩展，我们使用它来验证我们的理论分类结果。
英文摘要：
We introduce bendlets, a shearlet-like system that is based on anisotropic scaling, translation, shearing, and bending of a compactly supported generator. With shearing being linear and bending quadratic in spatial coordinates, bendlets provide what we term a second-order shearlet system. As we show in this article, the decay rates of the associated transform enable the precise characterization of location, orientation and curvature of discontinuities in piecewise constant images. These results yield an improvement over existing directional representation systems where curvature only controls the constant of the decay rate of the transform. We also detail the construction of shearlet systems of arbitrary order. A practical implementation of bendlets is provided as an extension of the ShearLab toolbox, which we use to verify our theoretical classification results.
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。
