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March 29, 2015

March 29, 2015

Posted by **Tanveer** on Tuesday, October 11, 2011 at 9:23pm.

a) Given an image that is 1024x768 pixels determine the size (in bytes) of the image at CGA, EGA, and VGA resolutions. (2 marks)

b) An image with dimensions of 400x800 pixels is compressed to save space. The compressed file is reduced to 76% of the original size, and now measures 972800 bytes. Determine the colour depth of the original image, in bits. (3 marks)

c) A computer generated sphere is covered with a texture. A texture is single image that is repeated many times in order to save memory. Given the sphere has a diameter of 1000 pixels, how many time must a 64x64 pixel image be repeated to cover the entire sphere? (4 marks)

- Mathematics -
**Steve**, Tuesday, October 11, 2011 at 11:44pma) 1024x768 = 788736 pixels.

Just multiply by 2,4,8 to get # bits used

Divide by 8 to get bytes.

b) The compressed size is 972800 bytes, so the full expanded size is 972800/.76 = 1280000 bytes.

Multiply by 8 to get bits.

Divide by 400x800 to get depth

c) Area = pi d^2 = 3141593 px^2

Divide by 64x64 to get replication factor. Assuming the repetitions would exactly cover the sphere.

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