Image Definition and 996 Threads

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)...

(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...

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 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)...

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...

Homework Statement An object 2.00cm high is placed 12.0cm in front of a convex mirror with radius of curvature of 8.00cm. Homework Equations Where is the image formed? Draw a ray diagram The Attempt at a Solution do i use the equation m=-q/p? if so then (object distance)p= 12cm...

I am trying to understand some really basics of image processing. One of them is the DFT ( Discrte Fourier Tranform). I have seen code segments, read stuff but still I don't get how the image produced is related to the first one. For example, I take an image with vertical black and white...

Optics -- Reflection of image from a moving mirror I have a dufficult question which I couldn't find an answer to, yet: If I am standing in front of a mirror - I can see my image, naturally. Now, let's say that the mirror is actually a very long train and it moves parallel to me . And...

Homework Statement The point 1 + i is rotated anticlockwise through \frac{∏}{6} about the origin. Find its image. The Attempt at a Solution The point 1 + i creates an angle of arctan(1/1) = ∏/4 The rotation is by a further angle β = ∏/6. So the new point w in the w-plane from...

1.Hey friends I Want to Compress the image in order upload them in my website. I have scanned them now what i need to do is to reduce their size. For that i need open source software to compress them. so, will anybody help me for finding it. 2. Next problem is i have made graph using...

I want to write a code for a MCU, the MCU will output an image to a TFT screen, and here is the tricky part: I want to make the final display to mimic old CRT， which means it will shrink, skew, and out of sync randomly, and the image will be constantly shaking. I hope the FPS would be 60...

I want to know how to post equation in website. I want to start site myself but the equation which i have typed in Word 2007 are not professional to update in site so which software i can use so that i can update equation as well as graph in website.

Hi folks, its been a while since I've visited. I had an idea a few years ago I never pursued and I thought I'd run it past this group simply because not only is it beyond my education to develop but its combining both optical physics and some techniques used in cosmology. OK so here goes I...

Hi the image of an open set by a function continues IS an open set? i think that if we have a constant function , the image of an open set does not have to be open.

For those who don't know, a company (Lytro) just released a camera that allows for changes in focus *after* the image was acquired. Now that's it's been released as an actual product, I'm intensely curious to understand how it works. Their website has a cutaway image, and the 'lightfield...

Homework Statement Let F be a relation from X to Y and let A and B be subsets of X. Then, F(A \cap B) \subseteq F(A) \cap F(B) The Attempt at a Solution Let y \in F(A \cap B). Then, \exists x \in A \cap B, so \exists x \in A and x \in B. Then, y \in F(A) and y \in F(B), so y \in...

Let T: V-->W be a surjective linear transformation and let X be a subspace of W. Assume tat Ker(T) and X are finite dimensonal. Prove that T^-1 (X) = {v | T(v) is in X} is a subspace of V. Ok I absolutely suck at showing things are a subspace of something...I don't even know where to...

Here is the situation I am concerned with - Consider a smooth curve g:[0,1] \to M where M is a topological manifold (I'd be happy to assume M smooth/finite dimensional if that helps). Let Im(g) be the image of [0,1] under the map g . Give Im(g) the subspace topology induced by...

Homework Statement Let V be a 3 dim vector space over F and e_1 e_2 and e_3 be those fix basis The question provide us with the linear transformation T\in L(V) such that T(e_1) = e_1 + e_2 - e_3 T(e_2) = e_2 - 3e_3 T(e_3) = -e_1 -3e_2 -2e_3 we are ask to find the matrix of T and the...

I am getting a 640x480 bitmap image of an Xbox Kinect, and I have also made a separate programs which can send and receive images over TCP. Since bimaps are uncompressed I would like to convert the image to a JPEG to save bandwith. The only examples I have seen of this were for saving images...

Hello Forum, what type of image does an afocal system produce if the object is an extended object? A real or virtual image? Any example? Say a car is located 30 meters away... Thanks fisico30

The image below is from giancoli. There is clearly an electric field inside the conductor, going from the + charge on the outside surface of the wheel to the - charge on the inside surface of the wheel. There is an electric field inside this conductor because if I drop a + test charge in the...

If you have an image (just black and white) with a box SOMEWHERE in the image, but there's also some noise in the image, is there a good way to find four corners? I'm sure someone has herd of an algorithm for this, it would just be good if I had a direction to go in.

Hi, I have an image (attached) I have to use as a reference. To be clear I have to use this grid as calibration for an acquisition sistem. I want to get the grid of this image and superimpose it on other images. Is it possible? how to do it? Thanks

Hiya! Long time registrant, have not used these forums is years though... Anyhow, the problem I have is that I need to collect data from a very large number of images that are essentially horizontal lines on a page. I've attached a sample here, which has been processed to find the edges of...

Dear all, I'd like to know if there is a way of reducing an image and launching it into the core of an optical fiber. By other words, I'm not interested in the spatial distribution of the light (the image itself) but I'm interested in gathering all the light coming from the scene and...