论文标题
复杂阶导数和积分过滤器及其应用
Complex-order Derivative and Integral Filters and its Applications
论文作者
论文摘要
在本文中，提出了复杂阶导数和积分过滤器，这些滤波器与具有分数导数和积分顺序的过滤器一致。与仅使用实际订单设计的过滤器相比，复杂的订单过滤器可以揭示更多输入信号的详细信息，这可以使大量任务受益。已通过几个图像处理示例验证了所提出的复合级过滤器的巨大效果。尤其是，对于指示前列腺TRUS图像中患病区域的具有挑战性的问题，提出的复杂订单过滤器看起来非常有前途。令人惊讶的是，表明患病区域是通过复杂阶的积分来实现的，而不是通过衍生品实现的。这完全违背了使用衍生操作员实现目标的传统观点。
In this paper, complex-order derivative and integral filters are proposed, which are consistent with the filters with fractional derivative and integral orders. Compared with the filters designed only with real orders, complex order filters can reveal more details of input signals, and this can benefit a large number of tasks. The tremendous effect of the proposed complex-order filters, has been verified by several image processing examples. Especially, for the challenging problem indicating the diseased regions in prostate TRUS images, the proposed complex order filters look very promising. It is very astonishing that, indicating the diseased regions is fulfilled by complex-order integral, not by derivative. This is completely against the traditional views that using derivative operators to achieve the goal.
