Improving Deriche-style Recursive Gaussian Filters
Improving Deriche-style Recursive Gaussian Filters
复制标题
改进 Deriche 式递归高斯滤波器
DOI：
10.1007/s10851-006-8464-z
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发表时间：
2006
影响因子：
2
通讯作者：
C. Westin
中科院分区：
文献类型：
--
作者：
Gunnar Farnebäck;C. Westin
高斯平滑滤波器和高斯导数滤波器可以通过递归 IIR 滤波器进行估计，如 Deriche [3, 4] 所示。然而，这些滤波器的设计并没有强制要求导数滤波器应具有精确为零的直流响应这一重要特性。本文扩展了[4]中的理论，在不损失性能的情况下考虑了这一约束，并且还为滤波器响应的适当缩放所需的归一化因子给出了新的紧凑封闭形式表达式。
Gaussian smoothing filters and Gaussian derivative filters can be estimated by recursive IIR filters, as shown by Deriche [3, 4]. The design of those filters does, however, not enforce the important property that derivative filters should have an exactly zero DC-response. This article extends the theory in [4] to take this constraint into account without loss of performance and also gives new compact closed form expressions for the normalization factors required for proper scaling of the filter responses.