螺旋曲线上离散小波变换的实例
Some Examples of Discrete Wavelet Transform on Helix Curves
摘要: 本文通过长度保持投影方法探讨螺旋曲线上的离散小波变换实例。首先，基于欧拉离散化方案构建了三种不同的保长投影方法。接着，通过长度保持投影方法简明介绍了螺旋曲线上离散小波变换的实现方式。最后，通过三个不同螺旋曲线的信号分解与重构案例进行验证，并附有相关示意图供讨论参考。
Abstract: In this paper, examples for discrete wavelet transform on a helix curve are discussed by the length-preserving projection. Firstly, three different length-preserving projections are constructed by the Euler discretized scheme. Then discrete wavelet transform on a helix curve is introduced simply by length-preserving projection. Finally, three examples are constructed to decompose and reconstruct with the signal on three different helix curves. Some figures are given for our discussion.
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