Suppose we have a computer with 32 bits per word and a transfer rate of 1 mip (that is, one million instructions per second). How long would it take to fill the frame buffer of a 300dpi (dot per inch) laser printer with a page size of 8½ inches by 11 inches?
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Assignment;Computer graphics (csc1001)
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[ Referred from Textbook Exercises ] 1. Determine the resolution (pixels per centimetre) in the x and y directions for the video monitor in use on your system. Determine the aspect ratio, and explain how relative proportions of objects can be maintained on your system.!2. Consider three different raster systems with resolutions of , , and. What size frame buffer (in bytes) is needed for each of these systems to store 16 bits per pixel? How much storage is required for each system if 32 bits per pixel are to be stored?!3. Suppose an RGB raster system is to be designed using an 8 inch by 10 inch screen with a resolution of 100 pixels per inch in each direction. If we want to store 6 bits per pixel in the frame buffer, how much storage (in bytes) do we need for the frame buffer?!4. How long would it take to load an frame buffer with 16 bits per pixel, if 105 bits can be transferred per second? How long would it take to load a 32-bit-per-pixel frame buffer with a resolution of using this same transfer rate?!5. Suppose we have a computer with 32 bits per word and a transfer rate of 1 mip (one million instructions per second). How long would it take to fill the frame buffer of a 300 dpi (dot per inch) laser printer with a page size of 8.5 inches by 11 inches?!6. Consider two raster systems with resolutions of and . How many pixels could be accessed per second in each of these systems by a display controller that refreshes the screen at a rate of 60 frames per second? What is the access time per pixel in each system?!7. Suppose we have a video monitor with a display area that measures 12 inches across and 9.6 inches high. If the resolution is and the aspect ratio is 1, what is the diameter of each screen point?!8. How much time is spent scanning across each row of pixels during screen refresh on a raster system with a resolution of and a refresh rate of 30 frames per second?!9. Consider a noninterlaced raster monitor with a resolution of ( scan lines and pixels per scan line), a refresh rate of frames per second, a horizontal retrace time of , and a vertical retrace time of . What is the fraction of the total refresh time per frame spent in retrace of the electron beam?!10. What is the fraction of the total refresh time per frame spent in retrace of the electron beam for a non-interlaced raster system with a resolution of , a refresh rate of 65 Hz, a horizontal retrace time of 4 microseconds, and a vertical retrace time of 400 microseconds?!11. Assuming that a certain full-colour (24 bits per pixel) RGB raster system has a 1024 by 1024 frame buffer, how many distinct colour choices (intensity levels) would we have available? How many different colours could we display at any one time?!12. Given four points in as . Write down an algorithm to determine whether the line segments intersect.!800 × 6001280 × 9601680 × 1050800 × 6001680 × 1050800 × 6001680 × 10501280 × 10241680 × 1050n × mmnrthoriztvert1680 × 10502Da0, a1, b0, and b1a0a1and#b0b1
13. Implement a polyline function using the DDA algorithm, given any number of input points. A single point is to be plotted when .!14. Extend Bresenham’s line algorithm to generate lines with any slope, taking symmetry between quadrants into account.!15. Suppose you have a system with an inch video monitor that can display pixels per inch. If memory is organised in one byte words, the starting frame buffer address is , and each pixel is assigned one byte of storage, what is the frame buffer address of the pixel with screen coordinates ?!16. Use the midpoint method and symmetry considerations to scan convert the parabola over the interval .!17. Show that the composition of two rotations is additive by concatenating the matrix representations for and to obtain .!18. Prove that the multiplication of transformation ma- trices for each of the following sequences is com- mutative:!a. Two successive rotations.!b. Two successive translations.!c. Two successive scalings.!19. Prove that a uniform scaling and a rotation form a commutative pair of operations but that, in general, scaling and rotation are not commutative operations.!20. Determine the form of the two-dimensional transformation matrix for a reflection about any line .!Programming Assignments Environment: Python3 + PyOpenGL + GLFW + GLEW !( Use fixed-function pipeline for assignment 1. Assignment 2 onwards, we will use programmable pipeline )!21. Create a blank window with a title as “<YourStudentID> - Test OpenGL Window” with the back ground colour as Teal [ RGB Decimal ].!22. Use function to experiment with the window background colour settings. Check, if you could find some pleasing colour of your choice.!23. Write a program to plot 10 random points with random sizes and random colours.!24. Change the default normalised coordinates of OpenGL to your desired.
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