HW3_Spring2019_answers.pdf - CMPEN\/EE454 Spring 2019 Homework 3 \u2013 Due 11:59pm via Canvas Questions 1-4 Similar Triangles(12 points 3 points each You

HW3_Spring2019_answers.pdf - CMPEN/EE454 Spring 2019...

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CMPEN/EE454 Spring 2019 Homework 3 – Due 03/01/19 @ 11:59pm via Canvas Questions 1-4: Similar Triangles (12 points, 3 points each) You should never look directly at the sun. However, if you poke a small hole with a pin (literally a ”pinhole”) in a piece of cardboard and hold it towards the sun, you can project an image of the sun onto another piece of paper held behind the “pinhole”, and look at that instead. The equations describing this image projection are the same similar triangles equations we’ve been using to describe the “pinhole camera model”, except that the image is formed upside down and left-right inverted, as per the sketch shown. For a projection screen 0.25 meters behind the pinhole, what will the image coordinates be of Object Point (X 0 ,Y 0 ,Z 0 ) = (60, 120, 30) meters be? Give your answer rounded to two decimal places. 1) xi = ___ -0.50 ______ m 2) yi = ___ -1.00 ______ m The sun is 93,000,000 miles away from us and has a diameter of roughly 865,000 miles. Under pinhole projection with a projection screen held 2.5 feet (30 inches) away from the pinhole, what would you expect the diameter of the image of the sun to be? Give your answer in inches, rounded to two decimal places. 3) Diameter = ___ 0.28 ____ inches Once again, the sun is 93,000,000 miles away from us and has a diameter of roughly 865,000 miles. Under pinhole projection, how far away would you have to hold the projection screen from the pinhole in order to make the image of the sun as large as a US dime (0.705 inches diameter). Give your answer rounded to two decimal places. 4) Distance = ___ 75.80 ___ inches
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A B C 120 240 Questions 5-8: Simple Stereo (12 points, 3 points each) Consider the typical simple stereo camera system where the orientations of the coordinate axes of the two cameras are the same, but the right camera is shifted 60 mm to the right along the positive X axis. Give your answer rounded to two decimal places.
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  • Spring '09
  • Scott Collins
  • Polar coordinate system, Coordinate systems, CAMERA SYSTEM

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