Image Definition and 1000 Threads

Homework Statement Well I'm looking for a 'general' way about doing these problems. For example finding B = f(A) where f(x,y) = (x² - y², 2xy) and A consisting of all (x,y) with x > 0. The attempt at a solution I've tried considering the boundary, but I find that it just gets rather...

I need to take one more course for my EE Bachelors degree in one of three specialized areas: Signal Processing, Controls, or Communications. I know all three of these are very much related, but I am finding Signal Processing by far the most fascinating field out of the three. The problem is...

Hello everybody, I have been searching for a linear image sensor CCD or CMOS for emission spectroscopic applications.The length and pixel size should be around 70mm and 8-12um respectively. Will somebody help me in finding this? Another one is It's 'camera card' or data acquisition...

Hi Please can someone explain in a simple way what the Diffraction plane & image plane are Thanks

Hi, When we define a manifold, and in particular define what a chart is, one of the conditions we specify is that the image \phi(U) is open in R^n. Why do we specify this? For example if we didn't specify this and allowed closed balls, then we could cover S^1 by \theta where \theta...

Homework Statement Let T: \mathbb{R}^3 \to \mathbb{R}^3 be the linear map represented by the matrix \begin{pmatrix} 4 & -1 & 0 \\ 6& 3 & -2\\ 12& 6 & -4\end{pmatrix} What is the image under T of the plane 2x - 5y + 2z = -5? Homework Equations None The Attempt at a Solution I...

Helo..i have a problem about geometry.. How to show that the normal spherical image of x is never constant?

Homework Statement Given a linear transformation F: R^3 --> R, F(x,y,z) = 3x-2y+z, find I am (F) and dim (Im (F)) Homework Equations I have found that dim(ker F) = 2 and from the theorem dim (V) = dim (Ker F) + dim (Im F), I know dim (V) = 3, so dim (Im F) = 1. The Attempt at...

What are the "key image properties" of an image? Homework Statement Hi, I'm been assigned a project to capture images of laser speckle and do some image processing in Matlab. The directions say to "measure key image properties". Homework Equations The Attempt at a...

When using the method of image charges to solve a problem in electrostatics, how do we determine the volume of space in which our solution is valid? And how do we find the solution outside this volume? To be more specific, let's consider two examples. The first is the classic point charge above...

Homework Statement I am trying to understand the definition of Direct and Inverse Images in Real Analysis I from my book, see attachment please.

Homework Statement You have charge inside metal-sphere-shell held at V = 0, and you know an image-charge goes outside the metal-sphere-shell to formulate the equivalent and unique potential. Oh, and the metal-sphere-shell is of radius "a". You get to the point where you superimpose the image...

Hi, I am working on a MATLAB assignment and I stuck in rotating image, I got a code that allocates starting and ending points in matrix I got, works with no difficulties. (which means this code allows me to ignore the white(255) points and get he actual size of image, that is a rectangle or...

Homework Statement Let f(x):=1/x^2, x not equal 0, x belongs R a) Determine the direct image f(E) where E:= (x belongs R : 1<=x<=2) b) Determine the inverse image f^(-1)(G) where G:= (x belongs R : 1<=x<=4) Homework Equations The Attempt at a Solution A) Let f: R -> R be...

Homework Statement The lenses are separated by 250mm. Where should the object be places so that the final image is formed at infinity? I'm confused.

Homework Statement An object 23.0 mm high is 31.0 cm away from a concave spherical mirror with a radius of curvature of 54.0 cm. What is the absolute size of the image? Homework Equations Maybe these are relevant Mirror equation in terms of focal length...

Dear All, In medical imaging, the pixel intensity of a MR image may represent T1 relaxation time, T2 relaxation time, or proton density. These are intrinsic properties of tissues. For a B-mode ultrasound image, what does the pixel intensity represent? Do they represent the magnitude of...

How can i get the image of a integral. Say i have a integral function like this \int_{\pi/2}^{\pi} \int_{0}^{2} r\sqrt{4-r^2} drd\theta Now i want to see what volume the integral giving me. Which software i have to use for this purpose. Thanks

Hello! So this is minimally image processing, but I didn't know what else to name this thread. I'm working on a project and basically, I have this image (see attached file) that's provided to me. That's all I have to work with. The first column of colored pads represents my test pad...

I'm having difficulty understanding how to estimate the location of an image in a lens/mirror. I tried understanding it by going off the books question/answer section: "A spherical concave lens has a focal length of 16 cm, and an object is placed 8 cm from the lens." It says the answer is...

There's really no such thing as "upside down" in an absolute sense, only relative to what we're used to. Why then does our brain invert the image? What's wrong with leaving it the way it is?

I have been going through some great science lectures I have downloaded from itunes U from Apples itunes store. You don't have to own an ipod to use them as they can be viewed for free on a computer. Unfortunately the sound quality on many audio and video lectures is very poor. We can take...

Hi, I'm a bit new to the forums, this is my first post in fact, but I didn't know where else to go for help on this kind of matter. I'm not sure if anyone here has used ISIS image subtraction program written by Alard, available online at http://www2.iap.fr/users/alard/package.html, but I'm...

Hello, I appreciate your help in naming the structure of the molecular structure which image is attached. The answer should include the molecular formula and crystal structure characteristics. Considering the distribution of atoms within the cell and that the caption below states the atomic...

Hi, I am a student whos trying to achieve some camera tracking and speed control of a trolley. and I am kinda lost, don't know where to start with, hence urgently need experts advice.(supervisor couldn't help much) Could someone please suggests me where to look at or any product that's...

Homework Statement i) Find the Image and Kernel of A = (2,1)(-4,-2) (where each bracket is a row). ii) Calculate A2 and use i) to explain your result. Homework Equations None The Attempt at a Solution So I can do everything up to the very last bit (i think anyway). i) The Kernel =...

1. Homework Statement I'm having a bit of difficulty with a neuroscience course - it's about the primary visual cortex. I have a bunch of image patches (16*16) and I need to generate synthesised images using principal component analysis as a generative model. I reshaped the images to...

Position of image of an immersed object.. Are books wrong? Homework Statement In almost every book I checked, the image of an immersed object is always vertically above the object. Is this always the case and is independent on the position you are looking from? Homework Equations n...

Hello everyone, I would like to ask what's the purpose of identity map? Recently I came across something that apparently use this to find the inverse image of a function F(x) in the form of F(x) = ( f(x) , x ) . Thanks. Wayne

Homework Statement Let T be the linear transformation T: M2x2-->M2x2 given by T([a,b;c,d]) = [a,b;c,d][0,0;1,1] = [b,b;d,d] Find bases (consisting of 2x2 matrices) for the image of T and the nullspace of T. Homework Equations Standard basis of a 2x2 matrix...

Homework Statement I need to optimize this given code: /* A struct used to compute averaged pixel value */ typedef struct { int red; int green; int blue; int num; } pixel_sum; /* Compute min and max of two integers, respectively */ static int min(int a, int b) { return (a < b ...

Does anyone have a clue on how to obtain the mesh from the ultrasound image? The region of scatterer is automatically more densely meshed than its ambient. Any software? algorithm? Thx. Elgen

Homework Statement Consider this group of six matrices: Let G = {I, A, B, C, D, K}, Matrix Multiplication> I =\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix} A =\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix} B =\begin{bmatrix}0 & 1\\-1 & -1\end{bmatrix} C =\begin{bmatrix}-1 & -1\\0 &...

Homework Statement A problem on a linear algebra assignment is really confusing me. The problem is asking me to compute the distance from a vector to the image of a matrix (with orthogonal columns). matrix A = 1 -2 4 6 2 -11 y= 3 -5 2 Homework Equations dist(f,g) = norm(...

Homework Statement One end of a long glass rod (n = 1.60) has the shape of a convex surface of radius 12.0 cm. An object is positioned in air along the axis of the rod in front of the convex surface. Find the image position that corresponds to each of the following object positions: 8.00cm...

Sorry for what may be very basic and unscientific questions, I'm a brand new poster! Regarding black holes: It is my understanding (please correct me if I am wrong) that if an astronaut were to approach and enter the event horizon of the black hole, those watching from the outside would...

Homework Statement When f: A -> B and S ⊆ B, we definte If(S) = { x ∈ A: f(s) ∈ S}. Let X and Y be subets of B. a) Determine whether must equal If(X) ∪ If(Y). b) Determine whether If(X ∩ Y) must equal If(X) ∩ If(Y). Homework Equations The definition of an inverse image is stated...

Homework Statement Sunlight falls on a concave mirror and forms an image 3.0 cm from the mirror. If an object 24 mm high is placed 12.0 cm from the mirror, where will its image be formed? a. Use a ray diagram b. Use the lens/ mirror equation c. How high is the image? Homework Equations...

Homework Statement Diverging lens with focus of 2 meters. The object is 3.66 meters away from the lens. Find the exact image location. Homework Equations 1/object + 1/image = 1/f The Attempt at a Solution I plugged in the numbers with a negative value for the focal length but I...

Do you think it would be possible for a ipod sized device or small notebook to project an image rather then have an actual screen? So you could carry it in your pocket & when turned on the desplay could be massive like 50inches. Something holographic or what youd expect in the movies...

Homework Statement Hi everyone, I was wondering if anyone can help me out with my project in physics. Our goal is to make the sun image appear on a panel at the end of a rail, using lens, to see if we can observe sunspots on the projected image of the sun. This is the materials we have...

Homework Statement A bi-concave lens (n=1.5) has radii of 20 cm and 10cm and a thickness of 5 cm. Describe the image of an object of 2.5 cm of hight and situated at 8 cm from the first side of the lens. Attempt: \frac{1}{f}=(n-1) \left [ \frac{1}{R_1}-\frac{1}{R_2} +...

hey, When people say you should form a mental image when doing physics, does that mean forming a picture(snapshot)in your head or an actual movie of what's happening in your head?

Homework Statement Your friend is 1.7 m tall. What is the height of her image when she is 4.2 m from you? Homework Equations I used di/do and multiplied that by the height of the friend The Attempt at a Solution I did (4.2/3.5)(1.7) but it was wrong. Not really sure what I'm...

Homework Statement An object is placed 32.7 cm from the reflecting surface of a convex mirror having a focal length of -10.8 cm. Determine the image distance. Homework Equations IDK The Attempt at a Solution Could someone please tell me what equation I should use? Thanks!

Homework Statement A) Determine the image distance and image height for a 5-cm tall object placed 10 cm in front of a concave mirror having a focal length of 15 cm. B) Determine the image distance and image height for a 5-cm tall object placed 45 cm in front of a concave mirror having a...

A point charge q is a distance d from a dielectric half-space (z < 0). We will solve for the potential outside of the dielectric, in the region z > 0. (a) Away from the point charge, what equation does V satisfy? Find the boundary conditions at the dielectric surface. (b) Find an image...

I have been given a statement and have to decide if it is true or false and then justify my answer. I have already established that this statement is false by the fact that a magnifying glass creates a 'virtual image' not a 'real' one but i am having trouble working out what else is false...

Homework Statement A point charge q is a distance d from a dielectric half-space (z < 0). We will solve for the potential outside of the dielectric, in the region z > 0. (a) Away from the point charge, what equation does V satisfy? Find the bound- ary conditions at the dielectric...

focal point of image in magnifying glass -------------------------------------------------------------------------------- I have been given a statement and have to decide if it is true or false and then justify my answer. I have already established that this statement is false by the fact...