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中文摘要：
提出一种适用于三维人脸的等距不变量构造方法.从等距变换的定义和性质出发,选取曲面在等距变换下的最小不变几何基元构造不变核;按照到鼻尖测地距离的不同将三维人脸表面划分成多层次区域;在多层次区域上对不变核进行积分,得到等距不变量,并将其用于表情变化的三维人脸识别.实验结果表明,该方法综合考虑了多种曲面内在几何特征,抗噪性强,较Laplace-Beltrami算子等有较高的识别精度.
英文摘要：
An isometric integral invariant is proposed,which is suitable for recognizing 3D faces with expressions.The invariant is obtained by multiple integrals of invariant kernels on multi-level regions around the nose tip.The invariant kernel is constructed by invariant geometric primitives on surfaces,which fully depends on the intrinsic properties of surfaces,and has an intuitive geometric meaning.Experimental results show that this approach is less sensitive to noise and leads to higher accuracy than Laplace-Beltrami operator.
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