How to resolve the algorithm Barnsley fern step by step in the Visual Basic .NET programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Barnsley fern step by step in the Visual Basic .NET programming language
Table of Contents
Problem Statement
A Barnsley fern is a fractal named after British mathematician Michael Barnsley and can be created using an iterated function system (IFS).
Create this fractal fern, using the following transformations: Starting position: x = 0, y = 0
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Barnsley fern step by step in the Visual Basic .NET programming language
Source code in the visual programming language
' Barnsley Fern - 11/11/2019
Public Class BarnsleyFern
Private Sub BarnsleyFern_Paint(sender As Object, e As PaintEventArgs) Handles Me.Paint
Const Height = 800
Dim x, y, xn, yn As Double
Dim f As Double = Height / 10.6
Dim offset_x As UInteger = Height \ 4 - Height \ 40
Dim n, r As UInteger
Dim Bmp As New Drawing.Bitmap(Height \ 2, Height) 'x,y
'In Form: xPictureBox As PictureBox(800,400)
xPictureBox.Image = Bmp
For n = 1 To Height * 50
r = Int(Rnd() * 100) ' f from 0 to 99
Select Case r
Case 0 To 84
xn = 0.85 * x + 0.04 * y
yn = -0.04 * x + 0.85 * y + 1.6
Case 85 To 91
xn = 0.2 * x - 0.26 * y
yn = 0.23 * x + 0.22 * y + 1.6
Case 92 To 98
xn = -0.15 * x + 0.28 * y
yn = 0.26 * x + 0.24 * y + 0.44
Case Else
xn = 0
yn = 0.16 * y
End Select
x = xn : y = yn
Bmp.SetPixel(offset_x + x * f, Height - y * f, Color.FromArgb(0, 255, 0)) 'x,y 'r,g,b
Next n
End Sub 'Paint
End Class 'BarnsleyFern
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