LSI systems are expressed mathematically as 2D convolutions:
$$g(x, y)=\int \,d $$∞∞∞∞hxyf where
$h(x, y)$ is the 2D impulse response (also called the
point spread function ).
2d fourier analysis
$$(u, v)=\int \,d y$$∞∞x∞∞fxyuxvy where
$$ is the 2D FT
and
$u$ and
$v$ are frequency variables in
$x(u)$ and
$y(v)$ .
2D complex exponentials are
eigenfunctions for 2D LSI systems:
where
$$\int \,d {}^{}$$∞∞∞∞hu0v0Hu0v0$H({u}_{0}, {v}_{0})$ is the 2D Fourier transform of
$h(x, y)$ evaluated at frequencies
${u}_{0}$ and
${v}_{0}$ .
We can
sample the height of the surface
using a 2D impulse array.
$${f}_{s}(x, y)=S(x, y)f(x, y)$$ where
${f}_{s}(x, y)$ is sampled image in frequency
2D FT of
$s(x, y)$ is a 2D impulse array in frequency
$S(u, v)$
$$\text{multiplication in timeconvolution in frequency}$$$${F}_{s}(u, v)=(S(u, v), (u, v))$$
Nyquist theorem
Assume that
$f(x, y)$ is bandlimited to
$({B}_{x})$ ,
$({B}_{y})$ :
If we sample
$f(x, y)$ at spacings of
$(x)< \frac{\pi}{{B}_{x}}$ and
$(y)< \frac{\pi}{{B}_{y}}$ , then
$f(x, y)$ can be perfectly recovered from the samples by
lowpass filtering:
Questions & Answers
where we get a research paper on Nano chemistry....?
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest.
Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.?
How this robot is carried to required site of body cell.?
what will be the carrier material and how can be detected that correct delivery of drug is done
Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?