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Analysis of three-dimensional movement using Fourier descriptors

机译：使用傅立叶描述符分析三维运动

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摘要

Recent improvements in Fourier descriptor (FD) shape analysis enable rapid identification of three-dimensional objects using FD feature vectors derived from their boundaries. In three-dimensional shape analysis, it is essential to preserve all information to achieve good performance. In the real-time situation it is, of course, equally important to use a computationally efficient method. The method of three-dimensional shape analysis using normalized Fourier descriptors is information preserving, yet is as fast as previous suboptimum methods. In addition, the feature vector has a linear property, allowing to interpolate between library projections and effectively define a continuum of library projections rather than a finite set. This method is applied to the analysis of sequential data varying in resolution and orientation relative to the camera. Computational considerations are discussed, and it is seen that real-time implementation of the method is feasible.
机译：傅立叶描述符（FD）形状分析的最新改进使得可以使用从其边界导出的FD特征向量快速识别三维物体。在三维形状分析中，必须保留所有信息以实现良好的性能。当然，在实时情况下，使用计算效率高的方法同样重要。使用归一化傅立叶描述符进行三维形状分析的方法可以保留信息，但是与先前的次优方法一样快。另外，特征向量具有线性特性，允许在库投影之间进行插值并有效地定义库投影的连续体，而不是有限集。该方法适用于分析分辨率和方向相对于相机不同的顺序数据。讨论了计算注意事项，并且可以看出该方法的实时实施是可行的。

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