The habit of using algorithm analysis to justify design de-cisions when you write an algorithm or a computer pro-gram. This is a necessary step to reach the next level in mastering the art of programming. I encourage you to im-plement new algorithms and to compare the experimental performance of your program with the theoretical predic. Gouraud shading: an algorithm to simulate the differing effects of light and colour across the surface of an object in 3D computer graphics; Phong shading: an algorithm to interpolate surface normal-vectors for surface shading in 3D computer graphics.
“The Line drawing algorithm is a graphical algorithm which is used to represent the line segment on discrete graphical media, i.e., printer and pixel-based media.”
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A line contains two points. The point is an important element of a line.
Properties of a Line Drawing Algorithm
There are the followingproperties of a good Line Drawing Algorithm.
- An algorithm should be precise: Each step of the algorithm must be adequately defined.
- Finiteness: An algorithm must contain finiteness. It means the algorithm stops after the execution of all steps.
- Easy to understand: An algorithm must help learners to understand the solution in a more natural way.
- Correctness: An algorithm must be in the correct manner.
- Effectiveness: Thesteps of an algorithm must be valid andefficient.
- Uniqueness: All steps of an algorithm should be clearly anduniquely defined, and the result should be based on the given input.
- Input: A goodalgorithm must accept at least one or more input.
- Output: An algorithm must generate at least one output.
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Equation of the straight line
We can define a straightline with the help of the following equation.
y= mx + a
Where,
(x, y) = axis of the line.
m = Slope of the line.
a = Interception point
Let us assume we have twopoints of the line (p1, q1) and (p2,q2).
Now, we will put valuesof the two points in straight line equation, and we get
y = mx + a
q2 = mp2 …(1)
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q1 = mp1+ a …(2)
We have from equation (1)and (2)
q2 – q1= mp2 – mp1
q2 – q1 =m (p2 –p1)
The value of m = (q2– q1)/ (p2 –p1)
m = ▲q / ▲p
Algorithms of Line Drawing
Zyxel port devices driver download for windows 10. There are following algorithms used for drawing a line:
- DDA (DigitalDifferential Analyzer) Line Drawing Algorithm
- Bresenham’s LineDrawing Algorithm
- Mid-Point LineDrawing Algorithm