断层扫描和其他变换。的统一视图
Tomograms and other transforms. A unified view
摘要：
一个通用的框架，它统一的治疗小波，quasidistribution，和层析变换。得到了这三种变换的显式公式。与辛和仿射群的变换的情况下，处理在一些细节。特别强调的尺度时间和尺度频率层析图像的属性。断层图像被解释为通过曲线族对信号空间进行采样的工具，或者被解释为投影仪的矩阵元素。
英文摘要：
A general framework is presented which unifies the treatment of wavelet-like, quasidistribution, and tomographic transforms. Explicit formulas relating the three types of transforms are obtained. The case of transforms associated to the symplectic and affine groups is treated in some detail. Special emphasis is given to the properties of the scale-time and scale-frequency tomograms. Tomograms are interpreted as a tool to sample the signal space by a family of curves or as the matrix element of a projector.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
