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1)  SQFMT
单象限Fourier-Mellin变换
1.
First,according to the property of origin symmetry of the Fourier magnitude spectrum and the idea of image block matching in spatial domain,a novel method of single-quadrant Fourier-Mellin transformation(SQFMT)is proposed,which applies log-polar transformation in frequency domain to map the single-quadrant magnitude spectra from Cartesian coordinate space to log-polar one.
针对电子稳像实时性和鲁棒性的要求,提出了一种快速的单象限Fourier-Mellin域相位相关的近似运动估计算法,即首先根据Fourier变换振幅谱的对称性和空间域图像块匹配的思想,提出了一种新颖的单象限Fourier-Mellin变换方法,即在频率域中采用单象限振幅谱进行对数极坐标变换;然后结合相位相关技术估算帧间运动参数。
2)  Fourier-Mellin transform
Fourier-Mellin变换
1.
An image mosaic method based on Fourier-Mellin transform is presented for large scale electronic testing surveillance.
针对大规模电子化考场监控,提出基于Fourier-Mellin变换的宽视场图像合成技术。
2.
A novel method of fingerprint identification based on the features extracted from the integrated discrete wavelet and the Fourier-Mellin transform(DWFMT) was proposed.
采用离散小波变换进行小波分解指纹图像后对局部边缘进行平滑,从而减少指纹图像关于形状扭曲的敏感性,而Fourier-Mellin变换产生平移、旋转和伸缩的非变异特征。
3)  Analytical Fourier-Mellin transform
分析Fourier-Mellin变换
4)  multi-scale Fourier-Mellin transform
多尺度Fourier-Mellin变换
1.
Terminal guidance target tracking based on multi-scale Fourier-Mellin transform
基于多尺度Fourier-Mellin变换的末制导目标跟踪
5)  Fourier-Mellin invariant
Fourier-Mellin不变量
1.
It presents a method of image registration based on Fourier-Mellin invariant for computing transformation parameters from two images that differ by a rotation-scale-translation transformation.
提出了基于Fourier-Mellin不变量的图像配准方法,该方法可对存在旋转、比例和平移变换的两幅图像进行配准。
6)  finite Fourier transform
有限Fourier变换
1.
Based on a fully coupled thermal-hydraulic-mechanical formulation of saturated porous media,the analytical solutions of a one-dimensional thermal elastic consolidation model under non-isothermal condition are deduced by finite Fourier transform and its inverse transform.
基于饱和多孔介质热-水-力完全耦合的控制方程,通过有限Fourier变换及其逆变换,对一维热弹性固结模型进行解析求解,给出土柱内部温度、孔压和位移演化过程的解析表达式。
2.
The finite Fourier transform is used in this paper,for some kinds of partial differ-ential equation,to abtain the solutions of definite soluion problem.
利用有限Fourier变换,提出了某些偏微分方程定解问题的求解方法。
3.
The analytical solutions of excess pore water pressure,temperature increase were derived based on finite Fourier transform and its inverse transform,and the expressions of settlement,average consolidation degree were also given.
利用有限Fourier变换及其逆变换,得到土层内部超静孔压、温度增量的解析解,并依此求出地基沉降、平均固结度的表达式。
补充资料:Mellin变换


Mellin变换
Mdlin transform

Mellill变换IMdl如l扮田‘ronll;Me~a npeo6v幻。-.田1“e」 积分变换、(:)一丁,(。):,一’d。,,一a+‘:· 0代换t=。一’使它转化为U咖Ce变换(助phcetl刁I招-form).Mellin变换用于解关于扇形区域内调和函数的特殊类型平面问题以及弹性论中的特定问题等等. 反演定理(~ion th(”~).假定;‘一’f(:)‘L(O,的),函数f(;)在点:二t的一个邻域内为有界变差,则f(艺+o卜f(卜o、z,.‘奋‘,__、一二二二,如llM(s)t一,ds. 22兀i;二一晶J~、一,,一 口一.又 表示定理(repn芝℃ntation theorem).假定函数M(;+iu)关于二在(一的,+的)上可积且在点u二t的一个邻域内为有界变差,则 M(a+i(t+o))+M(a+i(t一0))= 2 一忽丁f(x)X““一’“X, 11之其中 口+亡co 厂(二卜卫‘f材(:、二一以: 乙兀王J 口一之(幻[补注l以M(v)表示f(t)的Mellin变换,如果f(t)亡人一’邝6L2(0,田),则R仍C初等式(R盯e词叫1助勿)取如下形式: r}f(二)}2二2卜1己:一牛了}、(、+‘,),ZJ夕. JIJ·,-··--一’一2兀J O一的 M亡肠血变换还用来联系D峭出以级数(D咏川et~)与自守函数(auto心甲玩c function);特别是,其反演公式在证明助康比t级数的函数方程(类似于RieIT坦nnC函数的函数方程)时有用.见【AI]一IAS].
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