Image Definition and 996 Threads

  1. A

    Image processing centre of gravity

    what is the centre of gravity of an image in image processing ?
  2. A

    Find the Kernel & Image of A: $\mathbb{R}^\infty \rightarrow \mathbb{R}^\infty$

    Homework Statement Find the kernel and image of the linear function A: \mathbb{R}^\infty \rightarrow \mathbb{R}^\infty defined on the vector space (with usual operations) of sequences of real numbers x \in \mathbb{R}^\infty, x = (x_1, x_2,...) . given by A(x) = (y_1, y_2, ...) with y_k =...
  3. F

    Are There More Advanced PDF to Text Converters for Scanned Images?

    I need a good and advanced PDF to text converter, that can also Scanned JPEG to Text Converter . I found this http://www.ocrcοnvert.com , but I need to know if there are more ??
  4. J

    LaTeX Inserting Image in LaTeX: Troubleshooting Help Needed

    I know this isn't really general math but here goes, I need to insert an image into my text on latex, when I put this; \begin{figure} \begin{center} \includegraphics[scale=0.7]{CantBeamPointLoad} \end{center} \caption{A cantilever beam with a point load P at the end of the beam}...
  5. B

    What is an Image in Abstract Algebra?

    My professor can't give me a straight answer, the word is absent from the appendix of the book, and google search returns nothing. So my question is, in the context of abstract algebra... what the heck is an image? For example...my book says "Note that the image of the unity is the...
  6. murielg

    Find a BASIS for L(S) -The Image of S

    Homework Statement [PLAIN]http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs574.ash2/149609_293915114994_507054994_1176494_3477051_n.jpg Homework Equations The Attempt at a Solution Ok so I know that this plane goes thru the origim I guess to find the two column vectors that span...
  7. I

    Linear algebra - kernel and image question

    Homework Statement f: K^{3} \rightarrow K^{4} is a linear transformation of vector spaces: K^{3} = \left\langle \vec{e}_{1}, \vec{e}_{2}, \vec{e}_{3} \right\rangle and K^{4} = \left\langle \vec{e}^{*}_{1}, \vec{e}^{*}_{2}, \vec{e}^{*}_{3}, \vec{e}^{*}_{4} \right \rangle as well...
  8. C

    Understanding Image Charge and Potential in Electrostatics

    1. Homework Statement We have a grounded conducting sphere of radius R and a charge q is placed a distance a from the center of the sphere. Show that the potential in the interior produced by q and the distributed induced charge is the same as that produced by q and its image charge q'.The...
  9. C

    How Does the Method of Images Determine Potential Inside a Grounded Sphere?

    Homework Statement We have a grounded conducting sphere of radius R and a charge q is placed a distance a from the center of the sphere. Show that the potential in the interior produced by q and the distributed induced charge is the same as that produced by q and its image charge q'.The image...
  10. I

    Calculating Particle Spacing in a Lattice Using Fourier Transform

    Homework Statement Okay so i am applying a FT to an image of particles that are forming a lattice, and i need to find the average distance between the particles because its not a perfect lattice, I am getting an airy pattern and i believe that the distance to the first ring is the average...
  11. K

    MATLAB Reconstructing an Image from Pixel Density Using Matlab

    Okay, so my professor is give us two matrices, and wants us to get back the image from which he got these to matrices. Regardless of the process (which i double checked) I have one remaining matrix that is 1 x 480 This matrix tells me the the intensity (in black and white i think) of each...
  12. fluidistic

    Geometrical optics, lens and image

    Homework Statement What should be the focal distance of a negative thin lens such that there's a virtual image situated at 50 cm from the lens, of an ant at 100 cm from the lens? Given that the ant is at the right side of the lens, localize and describe the image. Homework Equations...
  13. A

    Finding image of linear transformation (difficult)

    1. Find the image of the linear transformation whose matrix is given by: 1 2 5 2 4 -3 1 0 10 -13 -7 -4 Homework Equations 3. Tried numerous times but struggle to get anywhere
  14. B

    Real Analysis Problem involving Image of a Bounded Set

    Homework Statement Ok so I'm given that we have some function from R to R, that is continuous on all of R. I am asked if it is possible to find some BOUNDED subset of R such that the image of the set is not bounded. The professor gave the hint: look at closures. Homework Equations...
  15. B

    Triple integral with an image given

    Homework Statement Integrate the function f(xyz)=−4x+6y over the solid given by the figure below, if P = (5,1,0) and Q = (-5,1,5). where P=(5,1,0) and Q=(-5,1,5) Homework Equations r²=x²+y² tan theta=y/x z=z y=rsintheta x=rcostheta The Attempt at a Solution So I treated this...
  16. S

    Computing Matrix, finding kernel and image

    Let T: R[x]2\rightarrow R[x]3 be defined by T(P(x))=xP(x). Compute the matrix of x with respect to bases {1,x,x2} and {1,x,x2,x3}. Find the kernel and image of T. I know how to do this when given bases without exponents, however I do not know exactly what this is saying and therefore am...
  17. P

    What is the Optimal Camera Distance for Photographing a Mirror Image?

    If I wish to take a picture of your image while standing 5 m in front of a plane mirror, for what distance should I set your camera to provide the sharpest focus. I guessed the answer would be 10m (distance of object+distance of image). But i don't know why the focus of camera...
  18. B

    Finding the image of a set under f?

    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...
  19. S

    Is Digital Image Processing practical outside academia

    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...
  20. phy_optics

    Linear image sensor CCD or CMOS

    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...
  21. J

    Diffraction plane & image plane

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

    Why do we specify chart image is open?

    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...
  23. T

    What is the Image of a Plane Under a Linear Transformation?

    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...
  24. D

    Is the Normal Spherical Image of a Curve Always Non-Constant?

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

    Basis of Image of Linear Transformation

    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...
  26. R

    Method of Image Charges - Range of validity of solutions

    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...
  27. P

    What is a Direct image and Inverse Image in Real Analysis?

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

    Proving the Image Charge in a Metal-Sphere-Shell

    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...
  29. E

    MATLAB How can I find the maximum dimension of a rotated image in MATLAB?

    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...
  30. P

    Determine Direct and Inverse Image f(E) and f^-1 (G)

    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...
  31. T

    Understanding Lens Separation for Creating an Image at Infinity

    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.
  32. R

    How Is the Image Size Calculated in a Concave Mirror?

    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...
  33. E

    Medical B-mode Ultrasound Image - what does it represent?

    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...
  34. F

    Getting the image of integration

    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
  35. E

    PHP PHP programming, image processing

    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...
  36. S

    Estimating image distance in lens and mirror

    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...
  37. M

    Why does our brain invert the image received from our eyes?

    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?
  38. Spinnor

    Image vs. sound quality in videos and audio lectures?

    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...
  39. A

    ISIS image subtraction program; trouble running

    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...
  40. T

    How Does the Kernel Equaling the Image Explain A Squared Equaling Zero?

    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 =...
  41. N

    Position of image of an immersed object

    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...
  42. W

    Identity map and Inverse Image

    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
  43. F

    Image and nullspace bases of a linear transformation

    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...
  44. F

    Optimization of C code: smoothing an image.

    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 ...
  45. E

    Mesh generation from an ultrasound image

    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
  46. T

    Finding the image and completing multiplication tables for G/N and Im(G)

    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 &...
  47. T

    Linear Algebra Problem - Distance from the Image of a Matrix to a Vector

    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(...
  48. E

    What happens to an astronaut who enters the event horizon of a black hole?

    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...
  49. S

    Prove inverse image of function

    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...
  50. I

    Sunlight falls on a concave mirror, where is the image formed?

    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...
Back
Top