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In addition to difficulties with the light source and focusing lens, we also had trouble with speeding up image acquisition time. We originally were sending frames to the projector from a standard MATLAB script. This was very slow. Using the Psychtoolbox plugin allowed us to take advantage of frame buffering . This sped up the rate to between 15 and 50 frames per second (fps). The frames shown in the video below change at a rate in this range.

Random frames

Illustration of random frames displayed as MATLAB movie

To further decrease capture time we tried exploring tighter control of the projector's image display capabilities.Although the video frame rate is 60 Hz, which is the maximum rate at which the projector can receive images, the mirrors on theprojector's digital micromirror array (DMD) flip at a rate of at least 1000 Hz. Possibly, the mirror flip rate may even be asfast as 9800 Hz . So, we wanted to use every mirror flip as a random frame for our CS measurements,rather than just using each video frame to take one measurement. The result would be such that for each video frame, we would obtain between 16 and 164 measurements. Ultimately, if for a 1-megapixel image we required 100,000 frames, then this could give an image capture time of 10 to 50 seconds.

In order to exploit each individual mirror flip, we needed to understand pulse width modulation (PWM). This is the scheme thatthe projector uses to determine mirror flipping. Under normal operation conditions, PWM is used to simulate grayscale values ofimage frames. For example, consider the image in the figure below. In this image, the grayscale of the right half is true while the grayscale of the left half is anillusion: the left half in fact contains only black and white dots, no grey. A projector creates the grayscale illusion in asimilar manner. By rapidly toggling its mirrors between "on" to "off" positions, it tricks the eye into perceiving a seriesof black and white squares as grey. The "on"/"off" pattern is determined according to PWM.

Grayscale image

Mirror flickering on a DMD creates the illusion of grayscale through PWM

Our investigation of PWM schemes led us to understand thatbasic PWM works as illustrated in the example of the figure below. First, the time allotted for a video frame (1/60th of a second) is divided into blocks. There is one blockfor each bit of a pixel's grayscale value. If grayscale values can range between 0 and 31, then 6 blocks are created. For thelength of each block, the mirror will either be turned to its "on" position if the bit associated with the block is a 1, orits "off" position if the bit associated with the block is a 0. This is an acceptable method for creating a grayscale effectusing only black and white projections. However, the long duration of blocks associated with higher-order bits can produceeffects that are jarring to the eye.

Basic pwm

An example of how basic PWM works

A smoother version of PWM is used in most projectors, to reduce the jarring effects seen with basic PWM . The methodology of smooth PWM is illustrated in the example below. This modulation scheme devotes the same amountof time to each bit as basic PWM. However, instead of laying the blocks for each bit end-to-end, it breaks them up into smallerpackets and mixes them up. Each block from basic PWM becomes a series of blocks in smooth PWM. These smaller blocks are spreadout over the entire time for a frame, alternating with blocks that represent the other bits of the desired grayscale value.

Smooth pwm

An example of how smooth PWM works

After completing textbook research of PWM, we attempted to observe PWM patterns in the lab. We sent the projector frames with known grayscale values and captured themirror-flipping with a visible-range photodiode. However, the mirror-flipping patterns we observed with this approach did not resemble anything like what we had expected. They looked something like the plot shown in the figure below. At first we thought the problem must be on the photodiode end. Yet, the specification sheet for the photodiode listed its response time in the nanosecond range. So, we took another look at the documentation of PWM available on TI's website, and emailed some TI representatives to see if they could give us some insight on the problem. From these sources, we learned that the PWM scheme employed by current DLP projectors is very much more complex than that described in the examples of basic and smooth PWM above. Although smooth PWM may be a part of what current projectors use, the actual mirror flipping patterns are determined based on an algorithm that takes into account a large variety of projector settings. We were told that, in fact, TI considers their mirror-flipping algorithms proprietary, as these codes contribute to the projector's image quality.

Observed pwm

Mirror flipping for the grayscale value 67

Due to the multitude of dead ends we ran into trying to create a projector-based version of a compressive sensing NIR camera, we turned to working with a stand-alone DMD board for the last few months of our project.

Questions & Answers

show that the set of all natural number form semi group under the composition of addition
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The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the fraction, the value of the fraction becomes 2/3. Find the original fraction. 2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
1. x + 6 2 -------------- = _ x + 9 + 6 3 x + 6 3 ----------- x -- (cross multiply) x + 15 2 3(x + 6) = 2(x + 15) 3x + 18 = 2x + 30 (-2x from both) x + 18 = 30 (-18 from both) x = 12 Test: 12 + 6 18 2 -------------- = --- = --- 12 + 9 + 6 27 3
2. (x) + (x + 2) = 60 2x + 2 = 60 2x = 58 x = 29 29, 30, & 31
on number 2 question How did you got 2x +2
combine like terms. x + x + 2 is same as 2x + 2
Q2 x+(x+2)+(x+4)=60 3x+6=60 3x+6-6=60-6 3x=54 3x/3=54/3 x=18 :. The numbers are 18,20 and 22
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
mariel Reply
Mark = x,. Don = 3x + 1 x + 3x + 1 = 113 4x = 112, x = 28 Mark = 28, Don = 85, 28 + 85 = 113
how do I set up the problem?
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find the subring of gaussian integers?
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find the value of 2x=32
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Want to review on complex number 1.What are complex number 2.How to solve complex number problems.
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use the y -intercept and slope to sketch the graph of the equation y=6x
Only Reply
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x-2y+3z=-3 2x-y+z=7 -x+3y-z=6
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Solve for the first variable in one of the equations, then substitute the result into the other equation. Point For: (6111,4111,−411)(6111,4111,-411) Equation Form: x=6111,y=4111,z=−411x=6111,y=4111,z=-411
x=61/11 y=41/11 z=−4/11 x=61/11 y=41/11 z=-4/11
Need help solving this problem (2/7)^-2
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what is the coefficient of -4×
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A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
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Jeannette has $5 and $10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
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What is the expressiin for seven less than four times the number of nickels
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how do you translate this in Algebraic Expressions
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why surface tension is zero at critical temperature
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
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. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
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Source:  OpenStax, Nir single pixel camera. OpenStax CNX. Apr 29, 2008 Download for free at http://cnx.org/content/col10525/1.1
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