I'm interested in learning how to solve a relatively general sort of problem that comes up a lot in my problem sets and will presumably come up in future exams.
I'm asked to give an example of a matrix or linear transformation that has a given image or kernel.
Here are some examples...
How the brain creates 3 dimensional image (what you see) from information that photons carry to your eyes? Photons travel with constant speed so your brain can't calculate how far object is from their velocities. I know stereoscopic vision helps to calculate distance from objects but even when...
Homework Statement
Three thin lenses, each with a focal length of 40.0 cm, are aligned on a common axis; adjacent lenses are separated by 52.0 cm.
Find the position of the image of a small object on the axis, 80.0 cm to the left of the first lens.
Homework Equations
1/s + 1/s' = 1/f
The...
Hi all,
I have a somewhat qualitative understanding of image Fourier transforms and what they represent which for the most part is sufficient for me. However i am interested to know how when i use an image analysis program to produce the Fourier transform of a real image, what is actually...
I know that for a given signal, the sampling frequency Fs must be twice or more than maximum frequency of the signal Fm. It is easy to understand the concept for a 1D signal. But I don't know how to calculate sampling frequency or Nyquist rate for a 2D image.
Also what is effect of...
Hey! I'm new here and I just wanted to ask a question and maybe I'll come back here once I have started college in a week or so. :P But firstly I must say, at first I thought the confirmation question for signing up was a science question about acid and I was totally stumped. But that's PH... I...
Homework Statement
A sphere of radius 12.0cm has refractive index of 1.33. A speck is 4.0cm from the centre of the sphere is viewed along the diameter that passes thru the speck. Find the position of image when the speck is viewed from the nearer side?
the ans is -7.2cm
Homework Equations...
I need to do something for a project. Basically, I need to be able to project a clear image onto a mirror while still being able to use the mirror when the projector is not in use. Is there a way to do this/a cheap coating I can put on a mirror to accomplish this?
Thank you!
Hey all,
As the title suggests, I've found some recurring structure on an SEM image and I can't for the life of me figure out what it is. I took the image this morning.
Here she is:
http://i.imgur.com/nFuBsW2.png
Here's a larger, more zoomed out and higher res version. A few more of...
Homework Statement
There is an infinite conducting plate in the YZ plane and a point charge q at (d,0,0). I want to find the field for x<0 and the charge distribution on the plate.
Homework Equations
The Attempt at a Solution
For the region where x>0, I can use the method of...
Homework Statement
A lense with a focal length of ##-48.0cm## forms an image ##17.0cm## to the right of the lense. Where is the object positioned?
Homework Equations
$$\dfrac{1}{d_0}+\dfrac{1}{d_i}=\dfrac{1}{f}$$
The Attempt at a Solution
Well, since the focal length is negative, we know...
I have found the 2D Fourier transform of a figure and then changed it to a binary image (attached).
I want to find the line of best fit through the longest "axis"? of this figure. What would be the simplest way to accomplish this?
Figure 1.(c) shows the Test image reconstructed from MAGNITUDE spectrum only. We can say that the intensity values of LOW frequency pixels are comparatively more than HIGH frequency pixels.
Figure 1.(d) shows the Test image reconstructed from PHASE spectrum only. We can say that intensity...
Homework Statement
If we have a two-port network, a source with impedance Zs and a load with impedance Zl, I think that the conjugate of Zg and Zl (normal, not conjugated) should be equal to the image impedances of the network.
The problem is that I was told that instead of the conjugate of...
I have read that using Fourier transformation we can decompose any arbitrary image into othogonal basis images and reconstruct it back.
But i don't understand terms like "othogonal " and "basis image".
So can anybody shower their ideas on the above terms with example ??
I was looking at the hover text of this xkcd comic. It said:
I tried to answer the question myself for a while and arrived at the conclusion that I'm a brain-damaged nitwit. Then it occurred to me that the best course of action would be to ask people with higher intelligence. So, can any of...
hello everyone i am beginner at image processing..
1. i want to know what is the difference between Texture and Image? or whether they are same?
2.please explain by giving example of each.
Thank u...
I have tried to search everywhere, but cannot find answer to this: does anyone know if there is a table etc. of what kind of images lenses and concave/convex mirrors produce with object in different places (real or virtual image, image magnification, upright/inverted), including virtual objects...
Hi all,
Now naturally after completing a physics degree I am very familiar with the form and function of the Fourier Transform (FT) but never have grasped it quite conceptually. I understand that given a function f(x) I can express every functional value as a linear combination of complex...
Hi all, c# coder here, i am seeking ways to segment images into separate bitmaps based on colour values.
I have an image, and i have already applied edge detection and changed the threshold to 230 to give me black and white "blobs". Now the issue is finding these blobs, and copying them into...
Hello I have a question about part (b)
Now I know that F(f)(x) = [##\frac{1}{2}a+\frac{5}{6}b+\frac{17}{12}c]+[-a-2b-4c]x+[b+\frac{7}{2}c]x^{2}+[\frac{-2}{3}b-\frac{7}{3}c]x^{3}##
so Kernel of F : F(f)(x) =0
=> ##\frac{1}{2}a+\frac{5}{6}b+\frac{17}{12}c=0##
##-a-2b-4c=0##...
Some time ago I posted the following:
"Can someone give me an idea of how to include (the scan of) a small diagram - say 1/4 to 1/3 of the size of an A4 page (thus not the whole page) - into a post - in such a way as the diagram is visible to the reader - that is he/she does not have to...
Shiny lawn spheres placed on pedestals are convex mirrors.
One such sphere has a diameter of 40 cm. A
12 cm long robin sits in a tree 1.5 m from the sphere.
(a) Where is the image of the robin?
(b) How long is the image?
f=R/2 to find radius
1/v=1/f-1/u to find image distance (the mirror...
I do understand that we don't need a screen to view a real image, but why our eyes need to be far away from the lens than the image? Why can't we be exactly where the image would normally appear if we had a screen? Moreover, the image there is sharp because the rays converge exactly at that...
Homework Statement
An object 4.29 cm high is projected onto a screen using a converging lens with a focal length of 32 cm. The image on the screen is 51.7 cm. Where are the lens and the object located relative to the screen?
ho=4.29 cm
hi=51.7 cm
ƒ=32 cm
Homework Equations
1...
Hello,
I am working on a project in which I want to project a projection back into a slide projector using a concave mirror.
The lens of the projector has a focal point of 100mm (and an aperture of 2.8) and I want to have approximately 1 meter space between the mirror and the...
We have a good handle on what other galaxies look like, given that we're looking at them from a distance. But when I look at a depiction of our home galaxy, pointing out roughly where our solar system lies, do we really know with any degree of accuracy that this is what it looks like, or is it...
Dear Math and Physics fans
You have always been so helpful in the past and I was hoping that I could call on your expertise once again.
I want to make a wedge filter in MATLAB so I can determine the orientation of the ellipse of a centered 2D fft.
I tried to make an new image where...
Hi all... I am trying to design digital modem to send 3 things,, audio, data and image, the problem that when I try to send image 640x480 pixel, with JPEJ format, I need to get a value for a transmission time by using the type of modulation scheme and symbol rate, my question is what the...
Dears,
Thesedays, I'm studying the image distortion, especially, about the motion blurred images.
About these works, I have some questions and I can't find answers myself.
My questions are following:
1. When resizing motion blurred images, what types of distortions could be applied...
Homework Statement
Find the Mobius transformation which carries the points 0,1,-i to the points -1,0,\infty respectively. Find the image of the domain \{z:x<0,-x+y<t\} under this mobius transformation.Homework Equations
The Attempt at a Solution
Let T(z)=\frac{az+b}{cz+d}.
Then...
T2 projects orthogonally onto the xz-plane
T3 rotates clockwise through an angle of 3π/4 radians about the x axis
The point (-3, -4, -3) is first mapped by T2 and then T3. what are the coordinates of the resulting point?
this question is on a program call Calmaeth. My answer for this...
Homework Statement
Hello! The question I'm looking to solve is asking me to "analytically evaluate the image" produced by a concave mirror (which I'm assuming is telling me to use matrix methods to find image position, though I'm not sure). I've come across matrix methods which give me the...
Homework Statement
What will be the irradiance (power per unit area) in the image, if the Sun's irradiance at the sea level is I = 500W/m^2
Lens is 200mm f
Sun is 150x10^9 m away
Diameter of sun is 1.4x10^9 m
Homework Equations
The Attempt at a Solution
I know that at the...
Hello,
Can someone please provide a more detailed explanation for the attached image? :) i need to explain this to my 6yr old nephew and I honestly cannot find an explanation for his age.
Thank you.
Homework Statement
Show that if T is a normal operator on a finite dimensional vector space than it has the same image as its adjoint.
Homework Equations
N/A
The Attempt at a Solution
I have been able to show that both T and T^{*} have the same kernel. Thus, by using the finite...
Mod note: Fixed the links to the two images
Second mod note: the links are broken again
Hi, all
I have recently faced with an abstruse problem in image processing.
So, I would like to ask somebody's advice.
There are two images below; one is original and the other is an impaired...
Homework Statement
I've done physics in a non-english medium and I want to know what is the technical term to call the incident where the image is flipped vertical through a mirror. I mean if we stand infront of a mirror and raise the right arm, the mirror image shows we're raising the left...
Greetings-
As will become abundantly clear from this post, I know very little about optics, so any and all help will be appreciated.
I am a visual neuroscientist and I am attempting to project a visual stimulus through a camera port on a microscope, off a mirror, through the microscope...
Homework Statement
A long conducting cylinder bearing a charge \lambda per unit length is oriented parallel to a grounded conducting plane of infinite extent. The axis of the cylinder is at distance x_0 from the plane, and the radius of the cylinder is a . Find the location of the line...
Hi all,
If I place an object far away from a converging mirror or lens and start to move it closer, I note that I get an inverted, real image that steadily grows in size. As the object crosses the focal point the image becomes incredibly large and blurry and then flips upright and begins to...
Homework Statement
Two 3.0m wide mirrors meet at a corner. Taking the corner as the origin of the x/y axis, A red ball is placed at point A (-1m, -2m).
1) How many images are seen by an observer at point O? [Point O is not given coordinates, but looks to be at approximately (-3m, -3m)]...
Homework Statement
Hi! Bear in mind, before shooting me down, that I'm very new to electrostatics and extremely (i.e. today) new to the method of image charges, and all my learning is dodgy book-learning and not learning from asking the learned questions.
This said, I just want my...
https://dl.dropboxusercontent.com/u/260388836/index.html
Let arrow height be 1cm.
focal length:1cm
So if I move the arrow to the focal point,image is not formed.(i.e formed at infinity)
But,
Lets move it to say 0.999
Now the image is virtual and is magnified to about 1000X
If I make it...
Hi everyone
I have question about Arithmetic quaternion. this concept is used in image processing for representing R G B color channel as a hyper complex number or single unit.how can it is possible? can I represent every things in 3D space as a hyper complex number by quaternion?
Please...
This is not really a problem, more just a fact-based question. I have been using the Google, but I have been unable to find an answer. Is there a way to induce the answer that I am missing? :confused:
Question: What range of distance does a double convex lens have to be from an object to...
Homework Statement .
1) Let ##T## be the transformation over the extended complex plane that sends the poins ##0,i,-i## to the points ##0,1,\infty##. Prove that the image of the circle centered at the origin and of radius ##1## under this transformation is the line ##\{re(z)=1\}##.
2) For...