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首页> 外文期刊>IEEE Transactions on Pattern Analysis and Machine Intelligence >Channel smoothing: efficient robust smoothing of low-level signal features
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Channel smoothing: efficient robust smoothing of low-level signal features

机译：通道平滑：对低电平信号功能进行有效的鲁棒平滑

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摘要

In this paper, we present a new and efficient method to implement robust smoothing of low-level signal features: B-spline channel smoothing. This method consists of three steps: encoding of the signal features into channels, averaging of the channels, and decoding of the channels. We show that linear smoothing of channels is equivalent to robust smoothing of the signal features if we make use of quadratic B-splines to generate the channels. The linear decoding from B-spline channels allows the derivation of a robust error norm, which is very similar to Tukey's biweight error norm. We compare channel smoothing with three other robust smoothing techniques: nonlinear diffusion, bilateral filtering, and mean-shift filtering, both theoretically and on a 2D orientation-data smoothing task. Channel smoothing is found to be superior in four respects: it has a lower computational complexity, it is easy to implement, it chooses the global minimum error instead of the nearest local minimum, and it can also be used on nonlinear spaces, such as orientation space.
机译：在本文中，我们提出了一种新的有效方法来实现对低电平信号特征的鲁棒平滑：B样条通道平滑。该方法包括三个步骤：将信号特征编码到通道中，对通道进行平均以及对通道进行解码。我们证明，如果我们使用二次B样条生成通道，则通道的线性平滑等效于信号特征的鲁棒平滑。来自B样条通道的线性解码允许导出鲁棒的误差范数，这与Tukey的双权误差范数非常相似。我们将信道平滑与其他三种鲁棒平滑技术进行了比较：理论上和在2D方向数据平滑任务上的非线性扩散，双边滤波和均值漂移滤波。已发现通道平滑在四个方面具有优势：它具有较低的计算复杂度，易于实现，选择全局最小误差而不是最近的局部最小值，并且还可以用于非线性空间（例如方向）空间。

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