Image Definition and 996 Threads

Why can an out-of-focus picture on a screen from a projector be corrected by an intervening lens, while a lens cannot correct the out-of-focus image once impinged on the screen?

I wanted to find the Information Entropy (Shannon Entropy) for a given image. I basically wanted to study the effects of image compression on the Shannon entropy for a given image. I am not sure as to how to go about it. To do this, the Message Space is the image itself. Entropy is given as the...

Hi all! Does anyone know a general method for determining the image of a lin map? I´m aware of the definition if im, but how could I determine it. Maybe it would be useful to show this on some examples :)

An object is placed 1m in front of a plane mirror. An observer stands 3m behind the object. For what distance must the observer focus his eyes in order to see the image of the object?

Hello i have an image and want to show its matrix represenation..can anyone help me?

Homework Statement A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = +36.0 cm. Precisely 33.0 cm behind this lens is a concave lens with a focal length f2 = -10.0 cm. The object to be photographed is 3.67 m in front of the objective lens. (a)...

Homework Statement A compound lens system consists of two converging lenses, one at x= -20cm with focal length f1 = +10cm, and the other at x= +20cm with focal length f2 = +8cm . An object 1 centimeter tall is placed at x = -50cm. What is the location of the final image produced by the...

Homework Statement A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with radius of curvature equal to 30 meters. The mirror has been cut in half, so that the axis of the mirror is at ground level. As Joe enters the room, he is 5...

Hi, I'm in an astrophysics lab course - and the CCD image processing software on the physics department computers are .. frustrating to say the least. I was wondering if anyone had any suggestions for something i could download and run on my mac; preferably free. Thanks,

Homework Statement Find the image set of function fx = (2x^2 + 2x + 1)/(x^2 + x - 1 ) The attempt at a solution 1. multiply the denominator with y and then assume x is real i get (y-2)^2 - 4(y - 2)(-y-1) => 0 5y^2 - 8y - 4 => 0 y = 2 and y = -2/5 But the answer is y => 2 and...

Hi, i can't find any article related to this question, i went to a spectacle shop, they claim their spectacle are polarized, i tested it by diagonally aligned the spectacles and yes it is polarized, but then sales man asked me to put on the spec and have a look at a picture. First it was just...

Hi guys! Today I remembered that I used to have a fantastic image (like a flow chart) about different parts of mathematics and how they are connected. In the final stage (at the top), they were connected to QFT and GR. It's down->top, at the lower end were basic mathematics (sets, boolian...

Homework Statement A convex lens (f1=300mm) is placed 200 mm from a concave lens (f2=-50mm). An object is placed 6m away form the convex lens. (the order is as follows: object - 6m - convex lens - 200mm - concave lens). Determine the position, magnification and nature of a final image...

Homework Statement I have the function g(s,t) = [(st+1)/(st-1),(s-t)/(st-1),(s+t)/(st-1)], and I need to find its image. Homework Equations I know that every point on the image of g lies on the hyperboloid x^2 + y^2 - z^2 = 1. The Attempt at a Solution I am very inexperienced...

Homework Statement A student is reading a lecture written on a blackboard. The lenses in her eyes have a refractive power of 61.20 diopters, and the lens-to-retina distance is 1.643 cm. (a) How far (in meters) is the blackboard from her eyes? (b) If the writing on the blackboard is 6.00 cm...

Homework Statement A sports photographer has a 150 mm focal length lens on his camera. The photographer wants to photograph a sprinter running straight away from him at 5 m/s. What is the speed of the sprinter's image at the instant the sprinter is 10 m in front of the lens? Homework...

We recall that Z is the set of all integers. For each i, j in Z, let f(i,j) be the larger of the two integers i and j. Do these remarks define a function? If so, what are the domain and the image? I'm not sure how to do this. I believe that the remarks do define the function. But I don't know...

Regarding the thin lens equation, 1/s + 1/s' = 1/f where s= distance of object from lens, s' = distance of image from lens, and f=focal length, can h and h' (h = height of object and h' = image height) be substituted from s and s'? I know the values are related through similar triangles...

Does linear algebra go in this thread?? Anyway, Homework Statement Let n be an integer at least 1, and x1,...,xn be distinct points in R. For any integer m>=1, let P denote the vector space of polynomials of degree at most m. Define a linear transformation T:P->R^n by [f(x1)]...

1. A lamp and a screen are 1m apart and a +4.5 D thin lens is mounted between them. Where must the lens be placed in order to produce a sharp image on the screen, and what will be the magnification? 2. Gauss Law: L' = L + F 3. I attempted this question by using the Gauss Law but I...

Hi, I'm currently working on an imaging problem that oddly requires some physics. Basically, I'm given a set of gray scale pixels and I have to determine whether they're a fiber or just random noise. My question is, how do I calculate the moment of inertia of the pixels while considering...

Homework Statement A 1.5 cm tall object is placed 0.50 m to the left of a diverging lens with a focal length of 0.20 m. A converging lens with a focal length of 0.17 m is located 0.08 m to the right of the diverging lens. a)What is the location of the final image with respect to the object...

Homework Statement A converging lens (convex lens) creates an image that is 2 times the size of the object. The object is placed: Homework Equations -di/do = hi/ho 1/f = 1/di + 1/do The Attempt at a Solution I thought the answer was that the object is place two focal lengths...

Hi, Just when I thought I'd grasped the Discrete Fourier Transform properly,something comes along and messes me up ... and my books don't seem to treat it. Say you have a square 2D image and you want to do an Ideal LowPass Filter. Well, in general, filters need to be odd-number-sized so...

Hello, I am using the subfloat package. I have several images in my figure and I wanted to have an (a), (b), (c) under them and then refer to them like that in the caption. However, when I do ref {image1a} in the caption it shows up as "1a" instead of "a". I don't want the "1" because this is...

Does anyone have experience with programming image rollovers that work in Safari 3? I programmed a website a while ago and everything worked fine, until Safari got updated to version 3. It seems to be a common problem, many programmers complain of this bug, but I haven't come across a solution...

Let [phi](u,v)=(u^2,v). Is phi one-to-one? If not, determine a domain on which phi is one-to-one. Find the image under phi of: - The rectangle R=[-1,1]X[-1,1] The Attempt at a Solution - I'm not sure at all how to determine whether phi is one-to-one or not, so if somebody can...

I stumbled across this question while self-learning topology, and I am not sure how to proceed. I need to prove that the image of f(x)=\cos x + i \sin x is the unit circle. The statement is obvious, which makes it all the harder for me to figure out what I actually need to do!

Let f:R...s be a ring homomorphism .Prove that the inverse image of an ideal of S is an ideal of R Thank you

When you read an equation, how are you able to then take the bits of that equation and translate it into a mental picture that allows you to visualize what the particular equation is describing?

I'm working on a laser microscopy setup and am having issues with Matlab image acquisition. I'm using an AVT Pike-032B CCD camera that is a 1394 camera. Most importantly, I'm interfacing to it using the CMU 'dcam' library, which provides pretty nice control through a program "1394 Camera...

Is it possible to use an image as a background to a function graph in Geometer's Sketchpad, so that I could superimpose a grid over a map? Does anybody have an alternative suggestion if that's not possible in GSP? Thanks, -tubegeek

This is a simple wording confusion. On one question that I did, the property for a positive focal length image was Real, Diminished and Inverted. On another question of the same type, the property for a positive focal length image was Real, Inverted and Smaller. So, my confusion is the...

I'm in calculus class right now, this is high school so I wouldn't be doing this at university probably, and we're putting our name in the address bar to see what comes up, just for fun. I went to www.scott.com and it shows just a .gif. Anyone know if there's any significance to it?

Homework Statement See attached image. Homework Equations See attached image. The Attempt at a Solution See attached image.

I'm trying to take the inverse of an image matrix by doing the following: >> A=imread ('noise.jpg'); >> inv(A) But I'm getting the following error: ? Undefined function or method 'inv' for input arguments of type 'uint8'. How can I change the image matrix so that I can take the...

If we can see a virtual image, why can't we obtain it on a screen?

Homework Statement an image in a convex mirror is 12cm tall and 30cm from the mirror.IF the focal length is 50cm, where is the object and how tall. Homework Equations (1/f)=(1/do)+(1/di) M= hi/ho =-di / do The Attempt at a Solution i got 7.5cm for the object height but a convex...

Hey guys, Homework Statement Basically the question is to explain the meaning of a SHD of an image, specifically the image of the WMAP data of the CMB. Now i understand decomposition when it comes to functions but I am not sure how to extend that to images. Is it simply that you are...

Homework Statement Find a basis of the image im(LA) of the linear transformation LA: R^5 \rightarrowR^3, x\mapstoAx where A = 1 -2 2 3 -1 -3 6 -1 1 -7 2 -4 5 8 -4 and hence determine the dimension of im(LA) The Attempt at a Solution Using the equation...

[SOLVED] Kernel and Image Homework Statement Ker(A) = Im(B) AB = ? A is an m x p matrix. B is a p x n matrix. Homework Equations The Attempt at a Solution Since Ker(A) is the subset of the domain of B and Im(B) is the subset of the codomain of B, AB = I. I = identity matrix...

Homework Statement Let f be a continuous mapping from metric spaces X to Y. K \subset Yis compact. Is f^{-1}(K) bounded? Homework Equations Theorem 4.8 Corollary (Rudin) A mapping f of a metric space X into Y is continuous iff f^{-1}(C) is closed in X for every closed set C in Y...

Homework Statement This is a follow on question. The first few questions ask about finding the numerical answer. The question that I am confused about and cannot do seem to do properly says: Complete the ray diagram to locate the position of the image shown on the retina when effective focal...

If X and Y are norm spaces, T:X->Y is a continuous linear mapping, and T(X) is closed in Y, is T*(Y*) always closed in X*? Here X* and Y* are dual spaces, and T*:Y*->X* is the adjoint of T.

1. a) Show that (f^-1 S)compliment = f^-1(S compliment) for any set S of reals. Then use part a) to show The function f is continuous iff f^-1(S) is closed for every closed set S. 2. inverse image = f^-1(S) = {x: f(x) \in S} f is continuous iff for every open set U \in the reals...

Any help on this problem would be appreciated a) Show that (f^-1 S)compliment is equal to f^-1(S compliment) for any set S of reals. Then use part a) to show The function f is continuous iff f^-1(S) is closed for every closed set S.

I've created a DLL that contains JavaScript plugins for the IE right click menu like this; http://img407.imageshack.us/my.php?image=20165640mt5.jpg I haven't restricted display to the proper context in the registry yet. In the Alt Text entry I have a small script that looks like; var altV...

Hi, This is my first post in this forum and glad to be a member. Since from the DSP lessons in university, i am having this strange problem that i haven't found an answer. As I cannot progress and couldn't find any theories regarding to this, i want to share this problem with you guys...

Hi For our control systems project, we are trying to implement a closed feedback image focusing system. A digital camera captures the image of an object (a checkerboard), sends it to a computer algorithm which determines the amount of defocus in it and sends an actuation signal to a stepper...

http://www.winwenger.com/imstream.htm Does this work?