2019/3/30
2
为什么一般图像并不会出现上述情况?
Image: http://www.flickr.com/photos/igorms/136916757/ Slide: Hoiem
Jean Baptiste Joseph Fourier (1768-1830)
(让
·
巴普蒂斯
·
约瑟夫
·
傅里叶)
提出一个“疯狂”看法
(1807):
Any univariate function can be
rewritten as a weighted sum of
sines and cosines of different
frequencies.
不相信
?
Neither did Lagrange,
Laplace, Poisson and
other big wigs
但是(几乎)正确的
!
called Fourier Series
there are some subtle
restrictions
(狄里赫利
条件)
Laplace
Lagrange
正弦函数的叠加
Our building block:
Add enough of them to get
any signal g(x) you want!
xAsin(
频率谱(
Frequency Spectra
)
example : g(t) = sin(2πf t) + (1/3)sin(2π(3f) t)
=
+
Slides: Efros
频率谱(
Frequency Spectra
)
=
+
=
频率谱(
Frequency Spectra
)
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