Examples in lecture: Examples in tutorial: Homework:
*Problem 1
Problems with two asterisks (**) Problems with one asterisk (*) All problems for this tutorial
Determine the size of the frame buffer in bytes needed for each of the following raster display devices if 32 bits per pixel are to be stored:
(a) A display device with a resolution of 800 by 600 pixels; (b) A display device with a resolution of 1280 by 960 pixels; (c) A display device with a resolution of 1680 by 1050 pixels.
A raster system is to be designed using an 8 inches by 10 inches screen with a resolution of 100 pixels per inch in each direction. 6 bits per pixel are to be stored in the frame buffer. What is the size of the frame buffer in bytes needed for the system?
*Problem 3
Determine the time taken to load a frame buffer of 800 by 600 pixels with 16 bits per pixel if 105 bits can be transferred per second.
Determine the time taken to load a frame buffer of 1680 by 1050 pixels with 32 bits per pixel if 105 bits can be transferred per second.
A visualization system transfers data to a laser printer at a rate of 106 words per second and each word consists of 32 bits. The laser printer includes an internal frame buffer that covers a printing area of 8.5 inches by 11 inches. The resolution of the printer is 300 dots per inch and each dot is represented by one bit in the frame buffer. Determine the time taken to fill the frame buffer of the printer.
*Problem 6
There is a raster display device with a resolution of 800 by 600 pixels. The associated frame buffer is refreshed at a rate of 60 frames per second.
(a) How many pixels could be refreshed per second by the associated display controller?
(b) What is the access time per pixel for the device?
There is a raster display device with a resolution of 1680 by 1050 pixels. The associated frame buffer is refreshed at a rate of 60 frames per second.
(a) How many pixels could be refreshed per second by the associated display controller?
(b) What is the access time per pixel for the device?
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Tutorial 1 Visualization Hardware
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There is a raster display device with a resolution of 1680 by 1050 pixels. The associated frame buffer is refreshed at a rate of 30 frames per second. How long does it take to refresh each row of pixels of the device?
There is a raster display device with a resolution of 1280 by 1024 pixels. The display area measures 12 inches in width and 9.6 inches in height. Each pixel of the display area is represented by a small, circular, equal-size shape. What is the diameter of each pixel?
Problem 10
There is a raster display device with a colour depth of 24 bits per pixel. How many distinct colours would be available for display by each pixel?
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*Problem 1
Determine the size of the frame buffer in bytes needed for each of the following raster display devices if 32 bits per pixel are to be stored:
(a) A display device with a resolution of 800 by 600 pixels; (b) A display device with a resolution of 1280 by 960 pixels; (c) A display device with a resolution of 1680 by 1050 pixels.
The frame buffer size is :
800600 pixels 32 bits/pixel 1.92106 bytes.
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Solutions to Problems in Tutorial 1
8 bits/byte
The frame buffer size is :
1280960 pixels 32 bits/pixel 4.9152106 bytes.
8 bits/byte
The frame buffer size is :
16801050 pixels 32 bits/pixel 7.056106 bytes.
8 bits/byte
A raster system is to be designed using an 8 inches by 10 inches screen with a resolution of 100 pixels per inch in each direction. 6 bits per pixel are to be stored in the frame buffer. What is the size of the frame buffer in bytes needed for the system?
The frame buffer size is :
(8inches 100pixels/inch)(10inches 100pixels/inch) 6 bits/pixel 6.0105 bytes.
8 bits/byte
*Problem 3
Determine the time taken to load a frame buffer of 800 by 600 pixels with 16 bits per pixel if 105 bits can be transferred per second.
The time to load the frame buffer is : 800600pixels 16 bits/pixel 76.8seconds.
105 bits/second
Dr. J.J. Zou, WSU School of Engineering
Determine the time taken to load a frame buffer of 1680 by 1050 pixels with 32 bits per pixel if 105 bits can be transferred per second.
The time to load the frame buffer is : 16801050pixels 32 bits/pixel 564.48seconds.
105 bits/second
A visualization system transfers data to a laser printer at a rate of 106 words per second and each word consists of 32 bits. The laser printer includes an internal frame buffer that covers a printing area of 8.5 inches by 11 inches. The resolution of the printer is 300 dots per inch and each dot is represented by one bit in the frame buffer. Determine the time taken to fill the frame buffer of the printer.
The time to fill the frame buffer is :
(8.5inches 300 dots/inch)(11inches 300 dots/inch) 1 bit/dot 0.263seconds.
106 words/second 32 bits/word
*Problem 6
There is a raster display device with a resolution of 800 by 600 pixels. The associated frame buffer is refreshed at a rate of 60 frames per second.
(a) How many pixels could be refreshed per second by the associated display controller?
(b) What is the access time per pixel for the device?
The access rate is :
800600 pixels/frame 60 frame/second 2.88107 pixels/second.
The access time is :
1 3.47108 seconds/pixel.
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2.88107 pixels/second
Dr. J.J. Zou, WSU School of Engineering
The access rate is :
16801050 pixels/frame 60 frame/second 1.0584108 pixels/second.
The access time is :
1 9.45109 seconds/pixel.
300029 Engineering Visualization: Tutorial 1
There is a raster display device with a resolution of 1680 by 1050 pixels. The associated frame buffer is refreshed at a rate of 60 frames per second.
(a) How many pixels could be refreshed per second by the associated display controller?
(b) What is the access time per pixel for the device?
1.0584108 pixels/second
There is a raster display device with a resolution of 1680 by 1050 pixels. The associated frame buffer is refreshed at a rate of 30 frames per second. How long does it take to refresh each row of pixels of the device?
The refresh rate is:
1050 rows/frame 30 frames/second 31500 rows/second.
The time to refresh each row of pixels is:
31500 rows/second
3.17510-5 seconds/row.
There is a raster display device with a resolution of 1280 by 1024 pixels. The display area measures 12 inches in width and 9.6 inches in height. Each pixel of the display area is represented by a small, circular, equal-size shape. What is the diameter of each pixel?
The pixel diameter is:
12 inches 9.6 inches 9.37510-3 inches. 1280 1024
Dr. J.J. Zou, WSU School of Engineering
Problem 10
There is a raster display device with a colour depth of 24 bits per pixel. How many distinct colours would be available for display by each pixel?
The number of distinct colours is: 224 16777216.
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