FPGA-Sketch Board
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The document describes features and algorithms of a sketchboard application. Key features include drawing basic shapes and lines, changing line thickness, clearing the drawing area, and filling shapes with color. Algorithms covered are Bresenham's line and circle drawing, rectangle and triangle construction, and boundary fill. Challenges discussed are interfacing with a PS2 controller and VGA display. Suggested improvements include removing PS2 limitations and adding full mouse functionality.
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The document describes various computer graphics output primitives and algorithms for drawing them, including lines, circles, and filled areas. It discusses line drawing algorithms like DDA, Bresenham's, and midpoint circle algorithms. These algorithms use incremental integer calculations to efficiently rasterize primitives by determining the next pixel coordinates without performing floating point calculations at each step. The midpoint circle algorithm in particular uses a "circle function" and incremental updates to its value to determine whether the next pixel is inside or outside the circle boundary.
Lec02 03 rasterization
The document discusses different algorithms for rasterizing lines in computer graphics. It describes how rasterization works by converting vector graphics into pixel representations. It then explains three strategies for rasterizing a line between two points: using the explicit line equation, parametric form, and incremental algorithms like the Digital Differential Analyzer (DDA) algorithm. The DDA algorithm works by incrementally calculating the next x and y pixel coordinates along the line using step sizes, avoiding expensive floating-point calculations.
Lec02 03 rasterization
The document discusses different algorithms for rasterizing lines in computer graphics. It describes how rasterization works by converting geometric shapes into pixels. It then explains three strategies for rasterizing a line between two points: 1) using the explicit line equation, 2) using a parametric form, and 3) using incremental algorithms like the Digital Differential Analyzer (DDA) algorithm. The DDA algorithm works by incrementally calculating the next x and y pixel coordinates along the line using step sizes. It avoids expensive floating point calculations at each step.
Graphics6 bresenham circlesandpolygons
The document discusses several common algorithms for computer graphics rendering including Bresenham's line drawing algorithm, the midpoint circle algorithm, and scanline polygon filling. Bresenham's algorithm uses only integer calculations to efficiently draw lines. The midpoint circle algorithm incrementally chooses pixel coordinates to draw circles with eightfold symmetry and without floating point operations. Scanline polygon filling finds the edge intersections on each scanline and fills pixels between interior intersections.
Similar to FPGA-Sketch Board (20)
FPGA-Sketch Board
- 5. Increasing the thickness of the edges of objects.
- 7. Fill color in the shapes.
- 8. Moving the object in the drawing area.
- 9. Flashing of the object name and its tool menu on VGA screen.
- 12. COMPARE LINE DRAWING ALGORITHMS BRESENHAM’S LINE DRAWING ALGORITHM :: Fast and Incremental algorithm. It involves only integer calculations in its point computing. It makes use of addition, subtraction and shifting only. DIGITAL DIFFERENTIAL ANALYZER ALGORITHM :: Round-off errors makes the computing pixel to drift away from the ideal line. Time consuming -Floating point arithmetic & rounding off process XIAOLIN WU’S LINE ALGORITHM :: Performs anti-aliasing. Draw pairs of pixels on both side of the computed pixel and are coloured in a way that they look alike. Slower than Bresenham’s Line Drawing algortihm.
- 13. BRESENHAM’S LINE DRAWING If(midpoint>ideal line) Next_pixel_to_be_plotted = Next_Lower_pixel; (po<0) Else Next_pixel_to_be_plotted = Next_Upper_pixel; (po>0) po= 2*dy(LOWER PIXEL) (Next Co-ordinates will be (xk+1,yk)). po= 2*dy – 2*dx (UPPER PIXEL) (Next Co-ordinates will be (xk+1,yk+1)).
- 15. x ranges from xc-r to xc+r.
- 17. Spacing between each point is not uniform.
- 20. Determine the co-ordinates of the vertices.
- 21. Utilize Bresenham’s line drawing algorithm for drawing lines. i.e. horizontal and vertical lines.
- 22. Take input as co-ordinates of the slanted line.
- 23. Draw slanted line by brsenham’s algorithm.
- 25. Plots the pixel +2 above and -2 below.
- 26. Key Pressed co-ordinate changes.
- 28. VGA INTERFACING
- 30. FULL FUNCTIONALITY BY PS2 MOUSE.
- 33. OPPORTUNITY TO LEARN HARDWARE PROGRAMMING LANGUAGE.