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电子学报  2014 

一种基于隐式多项式曲线的形状自适应描述方法

DOI: 10.3969/j.iss.0372-2012-2014.03.013, PP. 505-511

Keywords: 隐式多项式曲线,形状描述,自适应权重

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Abstract:

隐式多项式曲线对目标形状的线性描述算法需要构造隐式多项式曲线的代数残差和梯度残差,但是如何加权平衡这两种残差是一个困难问题.提出了一种平衡这两种残差的自适应权重确定算法.根据隐式多项式曲线稳定性要求,构造了隐式多项式曲线系数向量范数和权重的关系式,进而计算出极小值点并作为最优权重,实现了隐式多项式曲线的自适应描述.从MPEG-7标准测试集中选取不同形状的图形进行描述,实验结果表明,根据自适应权重获取的隐式多项式曲线不仅保证了描述的精确性,而且十分稳定,没有出现多余的曲线.

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