Fractals
Q.1: What is a fractal in computer graphics?
Answer:
A fractal is a complex geometric pattern created through mathematical equations and algorithms, exhibiting self-similarity with smaller copies at different scales.
Q.2: What are some common applications of fractals in computer graphics?
Answer:
Fractals have numerous applications, such as generating lifelike terrain in video games, simulating natural phenomena like clouds and landscapes, creating visually captivating textures and patterns, and producing natural-looking vegetation.
Q.3: How are fractals generated in computer graphics?
Answer:
Iterative algorithms are used to generate fractals by repeatedly applying mathematical formulas to a basic geometric shape or pattern, resulting in more intricate and detailed versions of the original shape.
Q.4: Can fractals be animated in computer graphics?
Answer:
Fractal patterns can be animated in computer graphics by altering parameters over time, resulting in captivating zooming and morphing effects.
Fractals in Computer Graphics
Fractals is a complex picture created using iteration and a single formula. Sometimes, objects cannot be drawn with a given equation or with a given geometry. Examples: mountains, clouds. Their shape cannot be defined so in this case, we use fractals. So these are nothing but natural objects that can be drawn with the help of fractals. Below is an example of a fractal diagram.
Basically, Fractals are used in many areas for its importance such as −
- Astronomy: for the analysis purpose of Saturn’s rings, galaxies, etc.
- Biology/Chemistry: For the purpose of illustrating chemical reactions, human anatomy, molecules, plants, and bacterial cultures.
- Others: For the purpose of representing the required clouds, borders, the coast, data compression, diffusion, economy, fractal music, fractal art, landscapes, special effects, and so forth.
Generation of Fractals
So, repeating the same shape repeatedly can result in fractals. To get the appropriate shape and size, we can iterate indefinitely. Recursion is the computer language term for making such forms as per requirement.
Geometric Fractals
The shapes with non-integer or fractal dimensions that can be found in nature are the main subject of geometric fractals. In order to create a deterministic nonrandom self-similar fractal mathematically, we begin with an initiator, which is basically a predetermined geometric shape. Next, a pattern which is known as the generator is used to replace as per need some of the initiator’s component pieces.