曲面的三维仿射不变量

Dong Xu, Hua Li
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引用次数: 0

摘要

定义了一种可以实现非封闭曲面仿射不变性的加权曲面矩。我们也可以选择一个对应的点,建立曲面的伪实体,计算仿射体积矩不变量。我们在3D地形图和3D人脸扫描上测试了两个仿射矩不变量的不变性。实验结果表明,加权曲面矩不变量对形状变形和数值计算具有较强的鲁棒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
3D Affine Moment Invariants for Surfaces
A new kind of weighted surface moments is defined which can achieve affine invariance for unclosed surfaces. We can also select a corresponding point and build a pseudo-solid for surface and compute the affine volume moment invariants. We test the invariance of the two affine moment invariants on a 3D terrain map and a 3D face scan. The experimental result reveals that the weighted surface moment invariants are highly robust to shape deformations and numerical computation.
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