基于对数频率轴上的高斯函数导出的多维类Gabor滤波器
Multidimensional Gabor-Like Filters Derived from Gaussian Functions on Logarithmic Frequency Axes
AI总结：
提出一种基于对数频率轴高斯函数逆傅里叶变换的新型多维类小波函数，可便捷构建滤波器组，天然包含低通滤波，可视为广义多维Log-Gabor滤波器。
摘要：
本文提出了一种新型类小波函数，便于通过主要影响聚焦区域和滤波器数量的两个参数来创建滤波器组。这是通过在频域中对对数频率轴上的高斯函数计算逆傅里叶变换实现的。所得滤波器类似于Gabor滤波器，表示不同尺寸的定向短暂信号振荡。该类小波函数可被视为广义的多维Log-Gabor滤波器，它始终在对数频率轴上使用高斯函数，并天然包含位于频域原点的高斯函数所形成的低通滤波器。
英文摘要：
A novel wavelet-like function is presented that makes it convenient to create filter banks given mainly two parameters that influence the focus area and the filter count. This is accomplished by computing the inverse Fourier transform of Gaussian functions on logarithmic frequency axes in the frequency domain. The resulting filters are similar to Gabor filters and represent oriented brief signal oscillations of different sizes. The wavelet-like function can be thought of as a generalized Log-Gabor filter that is multidimensional, always uses Gaussian functions on logarithmic frequency axes, and innately includes low-pass filters from Gaussian functions located at the frequency domain origin.
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。
