Deblurring Gaussian Blur
Deblurring Gaussian Blur
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In our eReader you can find the full English version of the book. Read Deblurring Gaussian Blur Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Deblurring Gaussian Blur
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Z . . "^^ ^, 2"-2"' y"-2™ = H^(y) - m! (n-2m) ! m=0 • The theorem above could have been proved using the convolution theorem and by computing the Fourier transform of K^{x) . We will nonetheless compute V.^ in order to show that the multiplier for Kj^ approaches, pointwise, the inverse of the multiplier for the operator T (see (2. 2)).
Observation 2 : Kj^(u) ) ■*■ e"^ '^ pointwise as N -»• » .
N/2 . . K 2 Proof : K„(co) = E J-lii—. Rf e"^ H2, ^(x)] (u), where F stands for the k=0 -^ k!2'^ ' Fou...rier tansform operator. Now, F[e-A2i, (x)J(a3) = f[ (-1)2^^ i^ (e"^ )] M = (io))2k/;r. E^^/'' .
Thus %' (-^^" . (-1)^ . 2^ /7 e-'/^ k=0 ♦^ 1^1 2^ e - ^, since otherwise the Fourier transforni of that function would be e'^ ', which is impossible.
2 _ 2 Kj^(x) does converge in L (e '^ dx), but that does not imply polntwlse convergence to any function. We accordingly have stable deblurring when using the kernels Kj^(x), where stability is measured in terms of 9-2 deviation from a polynomial of degree N, and the L (e ^ dx) norm is used as the metric.
What to read after Deblurring Gaussian Blur?
You can find similar books in the "Read Also" column, or choose other free books by Robert a Hummel to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Z . . "^^ ^, 2"-2"' y"-2™ = H^(y) - m! (n-2m) ! m=0 • The theorem above could have been proved using the convolution theorem and by computing the Fourier transform of K^{x) . We will nonetheless compute V.^ in order to show that the multiplier for Kj^ approaches, pointwise, the inverse of the multiplier for the operator T (see (2. 2)).
Observation 2 : Kj^(u) ) ■*■ e"^ '^ pointwise as N -»• » .
N/2 . . K 2 Proof : K„(co) = E J-lii—. Rf e"^ H2, ^(x)] (u), where F stands for the k=0 -^ k!2'^ ' Fou...rier tansform operator. Now, F[e-A2i, (x)J(a3) = f[ (-1)2^^ i^ (e"^ )] M = (io))2k/;r. E^^/'' .
Thus %' (-^^" . (-1)^ . 2^ /7 e-'/^ k=0 ♦^ 1^1 2^ e - ^, since otherwise the Fourier transforni of that function would be e'^ ', which is impossible.
2 _ 2 Kj^(x) does converge in L (e '^ dx), but that does not imply polntwlse convergence to any function. We accordingly have stable deblurring when using the kernels Kj^(x), where stability is measured in terms of 9-2 deviation from a polynomial of degree N, and the L (e ^ dx) norm is used as the metric.
What to read after Deblurring Gaussian Blur?
You can find similar books in the "Read Also" column, or choose other free books by Robert a Hummel to read onlineMoreLess
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