3D Graph Plotter

3D Graph Plotter

It's been quite a long time since my last blog I agree. I did have to complete my high school after all. However, my non-blog time wasn't wasted. I had been involved during this time developing a few programs for my annual school project. The one that I wish to show here is a 3d Graph Plotter called Visual3D (as I named it). It's purely written in Java and the source is JDK v6 compatible.

3D Graph Plotter in Visualization

Graph Plotters are typically used to create a visual representation of a mathematical equation. In doing so, the relationship between the given variables is better understood.

A 3d Graph Plotter is generally concerned with 3 variables – x, y, and z. Where, z is a function of x & y. In formal terms z = f(x, y). The 3 variables are plotted along the 3 axes in space. The result of such functions is always a 3d surface varying in height, in the z axis.

The given program can be used to plot any mathematical function in 3d. The complete set of the functions supported are:

• Trigonometric
• sin()
• cos()
• tan()
• asin()
• acos()
• atan()
• Arithmetic
• sqrt()
• cbrt()
• log()
• ln()
• Miscellanious
• floor()
• ceil()
• abs()
• sign()

Supported constants

• PI
• E

Supported variables

• x
• y

Supported operators

• +
• -
• *
• /
• ^
• %

Program Structure Overview

The program contains a total of 19 classes which are packaged and structured as below:

• package visual3d
• class Visual3D (Main Class)
• package core
• class Resource
• package mexparser
• class Constants
• class Expression
• class Lexer
• class Parser
• class Solver
• class Token
• class TokenTable
• package utility
• class Coefficients
• class Edge
• class Face
• class Render3D
• class Vector3D
• package visual
• class Function
• class Model
• class Plotter
• class Screen
• class View

A few screenshots:

(sin(x^2) * cos(y^2)) / 3

(x^3*y - y^3*x) / 40

*Update*

I considered adding a few more features for the program.

• Gradient mapping
• Added custom theme support
• View transitions using Numpad(0, 1, 3, 7)

Links point to the new version of Visual3D.

Executable
Source Code