A novel fitting formula for spatial concealment effect
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摘要:传统的空间掩盖效应是采用韦伯(Weber)定律来描述的,然而该定律仅考虑了明视觉区,对较弱或较强的光强均不合适。为了更好地描述空间掩盖效应,本文利用信号处理方法,给出了一种新的拟合公式。实验用不同模型拟合Konig与Brodhun的实验数据,证实了提出的模型均方根误差仅为0010 2,小于传统的Weber定律、Weber定律的优选表达式、Guilford模型,以及Chen模型。结果表明,提出的拟合公式在更宽的光强范围内都能与数据很好地拟合,可更广泛地用于工程实践。Abstract:Traditional spatial concealment effect is described by Weber law. However, it only considers photopic vision, and can not fit to weaker or stronger light intensity. In order to depict spatial concealment effect more effectively, a novel fitting formula was proposed only by signal processing method. Several different models is used to fit the data in Konig and Brodhun in experiments, and the fitted results demonstrate that the root mean square error of the proposed model is only 0010 2, which is less than those of traditional Weber law, superior form of Weber law, Guilford model, and Chen model. It can be concluded that proposed model can fit to human eyes in more expansive range of light intensity, and can be applied to engineering practice more widely.
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