快速Z箍缩研究中的小波、曲波和多分辨分析技术
Wavelets, Curvelets and Multiresolution Analysis Techniques in Fast Z Pinch Research
摘要：
Z箍缩产生富含X射线的等离子体环境，其中内爆目标的背光成像对于分析可能是相当具有挑战性的。所需要的是一个详细的了解内爆动力学的研究快照图像的飞行变形远离球壳。我们已经使用小波、曲波和多分辨率分析技术来解决其中的一些困难，并建立最大密度r*（N，θ）的壳厚度平均半径（STAR），其中N是我们平均的壳厚度的百分比。r*（N，θ）的非均匀性通过角度θ的勒让德多项式分解及其最大系数的确定来量化。非抽取小波分解的去噪效果优于抽取小波分解，两者都被曲波变换所超越。在每种情况下，使用基于噪声建模的硬阈值。
英文摘要：
Z pinches produce an X ray rich plasma environment where backlighting imaging of imploding targets can be quite challenging to analyze. What is required is a detailed understanding of the implosion dynamics by studying snapshot images of its in flight deformations away from a spherical shell. We have used wavelets, curvelets and multiresolution analysis techniques to address some of these difficulties and to establish the Shell Thickness Averaged Radius (STAR) of maximum density, r*(N, θ), where N is the percentage of the shell thickness over which we average. The non-uniformities of r*(N, θ) are quantified by a Legendre polynomial decomposition in angle, θ, and the identification of its largest coefficients. Undecimated wavelet decompositions outperform decimated ones in denoising and both are surpassed by the curvelet transform. In each case, hard thresholding based on noise modeling is used.
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