Image Definition and 1000 Threads

In the recommended format :) Homework Statement First we say that f:S→T is a map. If Y ⊆ T and we define f-1(Y) to be the largest subset of S which f maps to Y: f-1(Y) = {x:x ∈ S and f(x) ∈ Y} I must prove that f[f-1(Y)] = Y for every subset Y of T if, and only if, T = f(S). Homework...

Homework Statement A 2.0--tall candle flame is 2.1 m from a wall. You happen to have a lens with a focal length of 37 cm . How many places can you put the lens to form a well-focused image of the candle flame on the wall? For each location, what are the height and orientation of the...

Hello All, I hope I'm in the correct category, please let me know if I'm not. I'm looking for an applet on the web that I came across a few years ago. It demonstrated the basics of image compression by letting the user select from various transforms (DCT, some form of wavelet, a couple I...

Hi everybody ! I have a question about discrete integrals with contours. I want to integrate the points that makes the contour of an image. When the contour is only one curve it is easy I get the function in every point of the contour and I multiply by the distance between two consecutive...

Homework Statement A converging lens with a focal length of 14.2 cm is used to inspect a coin. The lens forms a virtual image 30.1 cm away. What is the magnification? Homework Equations (1/Si) + (1/So) = (1/f) M = (hi/ho) = (-Si/So) The Attempt at a Solution 1/So = 1/f - 1/Si...

I have an image taken with a camera. I know the f/#, focal length, CCD characteristics, and an approximate distance to my scene. I computed the modulation transfer function but I am trying to map the pixel space to cy/m and having trouble. I essentially want to determine the cutoff spatial...

I wish to build a small projector . how to project an image on my crt monitor on screen.Is it possible.

I am having a problem understanding the mathematical reasoning of finding the description of image in convex mirror... We know the relation, 1/v + 1/u =1/f is true for all mirrors... we can prove this for both concave and convex mirrors... In case of convex mirrors we use the conventional...

Signals and image processing/analysis -- Learning Resources I'm at a mediocre university I don't belong at and can't really transfer at this point unless a great university is willing to break its own rules about deadlines for me for this fall(connections, anyone?!). I suppose I'll just have...

I was practicing homework and I came across these two derived equations from 1/f=1/d0+1/di 1st one 1/di=1/d0-1/f 2nd one di=d0(f)/d0-f How do distinguish which one to use? and how did they get that derivation for the 2nd equation?

Homework Statement S is a lighted object, height=1. what is the final image that is created by the system? Homework Equations The Attempt at a Solution i just don't understand how do i find the location of a virtual image created by a negative lens when the rays converge to a...

I am working on an app that needs to access an array of pixels from a picture after it is taken. The main Activity is below. I have a good amount of java experience but extremely limited experience with images past displaying them on the screen. I see the byte array being passed to the picture...

I have difficulties in finding the true black carbons in a diamond from an image. Since diamond has a high refractive index of 2.42, it has a critical angle of 24 degrees such that total internal reflection can easily occur (total internal reflection causes fire in diamond) . Now I have...

ok so here is the quesiton.. An object is loacted 3.5 cm from the optical centre of a lens. The lense produces an image of magnification that is +0.667 the size of the object a) is this lens a diverging or converging lens? explain b) Find the position of the image and the focal length...

1. 1. Homework Statement (SEE PIC given BELOW) A pencil is standing upright in front of a mirror at a distance of 20 cm from the surface. A variety of mirrors can be placed where the dotted box is located. The mirror may be either concave, flat or convex, based upon the following questions...

Homework Statement If the coil in the figure is touching to an ideally conducting (σ=∞) non-magnetic steel from the A4-A5 side, what would be the magnetic field in the gap. Assume A1=A2=A3=A4=A5. Homework Equations The Attempt at a Solution I have calculated that when the coil...

Homework Statement Given a linear transformation f:V -> V on a finite-dimensional vector space V, show that there is a postive integer m such that im(f^m) and ker(f^m) intersect trivially. Homework Equations The Attempt at a Solution Observe that the image and kernel of a linear...

Homework Statement Let f:R^2 to R^2 be defined by f(r,theta) = (rcos(theta), rsin(theta)) Sketch the image under f of the set S = (1,2) X (0,pi) (The open brackets should be closed brackets but I am on a foreign keyboard and can't figure out how to get closed brackets). Homework...

Hi, fellow physics friends! I'm doing a small interior decoration project in which I need optical image rotation as a component. I know that this can be done (see e.g. http://www.optics.arizona.edu/optomech/papers/swift%201972.pdf for a review paper). I've also seen Half-Penta Prisms sold...

Optics-Lenses -- image outside the mirror? A question in my book asks what are the images formed in this diagram: http://www.flickr.com/photos/80147355@N05/7362964734/sizes/m/in/photostream/ I thought there was only one, inside the mirror. But it turns out that there is another one...

I am trying to create a nano - size pyramid using an FIB - Focused Ion Beam Microscope. The way it works is, it takes a 1000 x 1000 pixel bitmap image as an input. Each pixel is in gray scale. At the start we input a maximum value: let's say we set 'black' as 100 nm. If the pixel is black, then...

So I know these equations 1/f = 1/p + 1/i m = -i/p f: focal length p: object distance from mirror i: image distance from mirror m: magnification Let's say that I have an object in front of a concave or convex mirror with the same |f|. p is much larger than the radius of curvature...

Homework Statement Find a kernel and image basis of the linear transformation having: \displaystyle T:{{\mathbb{R}}^{3}}\to {{\mathbb{R}}^{3}} so that \displaystyle _{B}{{\left( T \right)}_{B}}=\left( \begin{matrix} 1 & 2 & 1 \\ 2 & 4 & 2 \\ 0 & 0 & 0 \\ \end{matrix} \right)...

I'd like to know how to compare two greyscale images with each other using MATLAB. These two images for simplicity sake will both be circles and of different intensities. I need to be able to figure out by what proportion one image's intensity is of the other. For instance with 8-bit...

(without using the intuitive yet eronneous idea of "spin" meaning "spinning")

An object which is 0.54m tall is located 1.23m in front of a plane mirror. How tall is the image as seen in the mirror? I know that the image seems to be 1.23m from the surface of the mirror and that the object seems to be 2.460m from the image. What equation do I need to use to figure...

Let's say we have a charge a distance d above the xy plane, which is a grounded conductor. Find the potential at every point. Now this is not a hard problem if you know the method of images. I do however have some questions: 1) The idea is, as reader probably knows, to solve poissons equation...

Bases of a Linear transformation (Kernel, Image and Union ? http://dl.dropbox.com/u/33103477/1linear%20tran.png For the kernel/null space \begin{bmatrix} 3 & 1 & 2 & -1\\ 2 & 4 & 1 & -1 \end{bmatrix} = [0]_v Row reducing I get \begin{bmatrix} 1 & 0 & \frac{7}{9} & \frac{-2}{9}\\ 0 & 1...

Is "image" and "range" of a LT the same thing ? (Why are they named like that) If you were to tell me that "range" and "span" meant the same thing I would understand why, in english their meaning's describe a similar sort of idea but I can't see any similarity in range and image. Why are they...

So we have been struggling to defeat the google image searcher. This seems to work While we see what it is, google didn't have any idea. I made this with googles Picasa-3. It's very simple with a few clicks, I selected pencil drawing and then some other tricks, changing colors and...

Homework Statement Let \vec{F}: ℝ^{2}->ℝ^{2} be a continuous vector field in which, for every (x, y), \vec{F}(x, y) is parallel to x\vec{i}+y\vec{j}. Evaluate \int_{γ}\vec{F}\cdot d\vec{r} where γ:[a, b]->ℝ^{2} is a curve of class C^{1}, and it's imagem is contained in the circunference...

hello guys, I have a CSV file with hyuge set of data devided into 3 cols. Y position X position and corresponding intensity values. I want to plot the image , my thesis is laser- microscopy. so a 2D plot ( density plot ) based on these values. The following is what I have tried so...

Homework Statement I was wondering if we Let E be some set such that f-1(E) is measurable then so is f-1(E)c.Homework Equations If the set A is measurable then so is its compliment. The Attempt at a Solution I think the statement is true because f-1(E) is just a set and thus its compliment...

Homework Statement Suppose the radius of curvature of a concave mirror is 5.0 cm a) Find the object distance that gives an upright image with a magnification of +1.51. Homework Equations 1/Do + 1/Di= 1/f m=-di/do=hi/ho The Attempt at a Solution First i convered all cm...

Hi, I have a problem concerning MRI image normalization and scaling data between 0 and 1. I have three tissue classes with different intensity range on a set of images (intensity range for each tissue is varying from image to image): for one image for instance I have: GM (100-150), L(0-150)...

Hey guys, Im 2nd year undergrad majoring in Medical Physics and Imaging Tech. This week we got a presentation from the graduates of my course and was told that the chance of getting into the field is very very small, specifically the hospital physicst and actually advised us to think of other...

Homework Statement This is more of a general conceptual question. When finding the image produced through a convex or concave lens, I know that you can use the equation magnification = (height of image/height of object) to find the magnification of the image produced. But does this...

Homework Statement I'm writing a program that will do simple image editing with ppm files. I can only use the graphics library and things in there. No PIL or Image module. My problem is that I get an error that says "couldn't recognize data in image file "sole.ppm" I know for a fact it is...

http://dl.dropbox.com/u/33103477/linear%20transformations.png My solution(Ignore part (a), this part (b) only) http://dl.dropbox.com/u/33103477/1.jpg http://dl.dropbox.com/u/33103477/2.jpg So I have worked out the basis and for the kernel of L1 and image of L2, so I have U1 and U2...

Hi guys, I have an optics question. I am running an activity for kids to simulate being inside a camera. So I am in a dark room, and I have a small hole in one of the doors which allows light in. An image comes in through the hole, and a magnifying glass can be used to focus this image, which...

If lens has a magnification of 1/4, produces images 4x larger but inverted. True or False.

Homework Statement Let R be a unital commutative ring. Let M be an R-module and \varphi : M \rightarrow M a homomorphism. To show: if \varphi \circ \varphi = \varphi then M=ker(\varphi)\oplus im(\varphi) The Attempt at a Solution I have already shown that M=ker(\varphi)\cap im(\varphi)...

Hello forum, I have been trying to understand how a cylindrical lens (plano cylindrical) forms images. The images are blurred, smeared, only in one direction. I know that this type of lens focuses parallel rays to a focal line instead of to a focal point... So the smearing occurs along...

Homework Statement More mirrors. Object O stands on the central axis of a spherical or plane mirror. For this situation (Table 34-4 below. All distances are in centimeters.) , find (a) the type of mirror (0 depicts "plane", 1 - "concave", 2 - "convex"), (b) the radius of curvature r (nonzero...

Homework Statement Find the image of the circle |z| = 3 in the complex plane under the mapping a) w = \frac{6}{z} b) w = \frac{6}{z} + 2i The Attempt at a Solution a) w = \frac{6}{3} = 2 So this is a circle in the w-plane of radius 2, centered on the origin? b) w =...

Homework Statement A small object is located 32.0cm in front of a concave mirror with a radius of curvature of 40.9cm. Where will the image be formed? Homework Equations tan(θ)=-h/di f=1/2R? The Attempt at a Solution Haven't been able to solve for theta. I'm not sure what...

An image of a point source (star) at infinity produces an image using a converging lens of diameter 50mm and focal length 500mm. Calculate the diameter of the resulting image.(take wavelengthof light to be 4x10^-7m) I ask this because it is to do with seeing stars through a telescope. I think...

Homework Statement find the image of the function h: (0,1)→ ℝ defined by h(x) = 1/(x2+8x) for 0<x<1Homework Equations The Attempt at a Solution I have tried a number of things, I can see the answer intuitively but I am having trouble with the proof. I set the function up as 1/(x2+8x)=b, and I...

Homework Statement Given the function, state the domain and range. I just want to make sure my notation is correct? More specifically, the I am f, can you have the independent variable in there? Here's my answer: http://tinypic.com/r/2nlda2q/5 Homework Equations The...

I was doing one of the proofs for my abstract algebra class, and we had to prove that the cardinality of the image of G, [θ(G)] is a divisor lGl. I'm trying to intuitively understand why G and it's image don't necessarily have the same cardinality. I'm thinking it's because there isn't...