Computer graphics concepts with solved numerical examples
This webpage is created to help students understand the core concepts of Computer Graphics in a simple and structured way. It covers important algorithms such as Bresenham’s Line Algorithm and the DDA Line Algorithm, explained step by step with solved numerical examples for better clarity.
In addition to line drawing methods, students will also learn about advanced topics like color generation techniques and area filling techniques, which are often considered complex. To make learning easier, these concepts are explained in easy-to-understand language with supporting examples.
Whether you are preparing for exams, working on assignments, or just curious about how computer graphics work, this resource will guide you through the essential concepts and algorithms in a clear and practical manner. By combining theory with examples, it ensures that learning computer graphics becomes both effective and enjoyable.
Numerical of DDA Algorithm
VSoodLet us understand how DDA Algorithm works by taking some examples and solving them too. Just keep in mind two things one, Y=mx+b is the line equation. Second, If m is less than one increase X…
Color Generating Techniques- Computer Graphics
VSoodThere are two ways by which you can see some objects colorful, let’s say RED – the first method would be – if you wear RED Glasses on your eyes and second method would be you…
Area Fill Algorithms
VSoodFlood Fill vs Boundary Algorithms Objective – Color the entire area with the color already present in the area. Flood fill algorithm This method is useful when area to be filled has multiple colors in it….
Computer Graphics – Notes – Short Q & A’s
VSoodWhen it comes to scoring marks, short questions play a real significant role. Find answers like – aspect ratio, resolution, persistence and many more – rewritten in a simplified language. Whats more these questions are picked…
3d Transformations Matrices and Equations
VSoodThe major difference in 2d and 3d transformations is another dimension. 3d has one more dimension called z axis. The floor of the room is an example of 2d where in only two dimensions matters, one…
Cohen Sutherland Algorithm With Solved Example
VSoodCohen Sutherland Algorithm Objective: The line to be clipped against the window. This means clip the line segment which is not visible in the window. Assumptions: x1,y1, and x2,y2 be the starting and endpoints of the…
2d Scaling Transformation Numerical Examples
VSoodProblem Statement-1 Magnify a triangle placed at A (0,0), B (1,1) and C (5,2) to twice its size keeping the point C (5,2) Fixed. If the point C (5,2) needs to be fixed this means the…
Numerical Examples of Rotation in 2d Transformation
VSoodExample – 2 (from Exams) Rotate a triangle placed at A(0,0), B(1,1) and C(5,2) by an angle 45 with respect to point P(-1,-1). The calculations available for computer graphics can be performed only at origin. It…
2d- Scaling Transformation
VSoodIn simple words , scaling means an object can be viewed differently with various scales. An object with length 3cm might appear small when viewed with a scale in meters. Cars will appear bigger if you…
2d Transformations – Computer Graphics
VSoodWelcome again to learn a complex topic simply. Learn by solving numerical problems. Let the theory take a back seat this time. Moving, Rotating , Zoom-in or Zoom out an object on the screen is called…
Numerical Examples of 2d Geometric Transformation- Translation
VSoodProblem Statement: An object is placed with respect to origin on (2,1). Now move the object away from the origin by 2 steps in x and 3 steps in y. What would be new coordinates to…
Draw Line using Line Equation – Slope-Intercept Equation Algo
VSoodThis method is the first method, even before any of other methods of line drawing like DDA , BLA were defined. The major drawback of this method is the fraction values it is, More the fraction…
Numerical Examples of Bresenham’s Line Algo
VSoodUsing Bresenham’s algorithm, generate the coordinates of the pixels that lie on a line segment having the endpoints (2, 3) and (5, 8). Case: When slope (m) > 1 Now let’s solve the same numerical using…
Numerical of Mid Point Circle Algorithm
VSoodExample-1 Draw a circle using Midpoint Circle Algorithm having radius as 10 and center of circle (100,100). Important points: Starting d =5/4-r but as 5/4 is approximately equal to 1 so initial d would be d=1-r….
Numerical of Bresenham’s Circle Algorithm
VSoodNumerical of Bresenham’s Circle Algorithm Bresenham’s Circle Algorithm Draw a circle using BCA having radius as 10 and center of circle (100,100). S-1; Enter the center h=100, k=100 and radius r=10. S-2: Find d=3-2*(10)= -17 and…