Skip to main content

3D VISION


 

   We are living in the three dimensional world (length, breadth, and depth).  Our two eyes facilitate to view everything in three dimension.  Our eyes are separated by a small distance.  Hence the two eyes see slightly different views of the same scene.  Consequently two different images falls on the screen of the eyes.  The brain process the two images and gives the three dimensional effect.

     The digital camera takes a photo with only one lens.  So we get only two dimensional flat image and the depth is lacking.  How to produce 3D image?

     Keep two cameras seperated by the distance same as our eyes.  Take two pictures of the same scene. Give greenish colour to one image and reddish colour to the other.  (software tools are available).  Print the two images one above the other or display overlapped images of both on a computer screen.

     Wear colour filter glasses on your eyes.  That is, one eye should receive only red image and the other only green image.  Now look at the superimposed images.  The scene will come alive in 3D.

     In 3D movie, two differently polarized images are projected on the screen. (refer: polarization).  The movie is viewed using polaroid spectacles.  The two images will properly go into two eyes. Now, you will feel as if you are part of the scene.

    Now we have "hologram", it is produced using laser light and interference technique.



     Holograms are found everywhere. in ID cards, driving license, to make them genuine.  Look at a good hologram (naked eyes) and move your head from left to right, you will see the object in the image in various angle as if you are looking at a real object.  This does not happen in colour separated  images or in 3D movie.

     The 3D concept is used in modern virtual reality and 3D devices.  Here two images in the mobile phones are used.  3D movie clips are available in the "you tube".

    Today, 3D movies are common, we  enjoy them with our two eyes.  Similarly two ears facilitate the stereo music.  

Comments

Popular posts from this blog

LISSAJOUS FIGURES

  Definition:  "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures".      We know sine wave motion and circular motion is basically same.  Hence we draw two circles A and B perpendicular to each other.  The circle B rotates twice faster than circle A.  That is, frequency of circle B is two times than that of A.        A particle at the intersection of two circles is subjected to two sine wave motion   A and B at 90 degree simultaneously.  The particle will describe figures depending on the frequency and phase of A and B .  In our case, the ratio of frequency is  1:2 and the two waves are in phase.        To draw lissajous figures :  A moving point in both the circles are chosen.   Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two.  Hence the points are marked on the circles according to their speed.  Then straight lines

THE PARABOLA

          A jet of water shooting from a hose pipe will follow a parabolic path.  What is the so special about parabola.    Y= x^2 Draw a graph for the above equation.  It will result in a parabola.  This parabola is also called unit parabola.  Any equation involving square will yield a parabola. Example:  Y = 2x^2 +3x+3 (also called quadratic equation)    X= 2 and -2, both  satisfies the equation 4 = X^2.  Parabolic equations always have two solutions.     Any motion taking place freely under gravity follows parabolic path. Examples:   An object dropped from a moving train,   A bomb dropped from flying plane,  A ball kicked upwards.      If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point.  This fact is made use of in Dish Antenna, Telescope mirrors, etc.      Inverted parabola shape is used in the construction of buildings and bridges.  Because the shape is able to bear more weight.      A plane

CASINO'S GAME

           Let us find out how the casino survives with mathematics.      Say, your friend invite you for a game of dice.  You must bet (wager) 2 dollars.  If you roll 'six' you will get back 8 dollars.  The game will go on for 30 rounds.  All sounds good.      The probability of rolling 'six' is 1/6.  Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5.  That is, you are expected to win 5 rounds out of 30.  Hence your gain will be 5 * 8 =40 dollars.  ok.  This also implies that you will loose 25 rounds.  Hence your loss will be 25*2 =50 dollars.  Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars.  There will be a loss of -1/3 or 0.33 dollars per round.  It is not a fair game.     Let us make a simple formula to calculate  'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect