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Visualizing 3D Data with a Graphical Matrix Representation
This program was developed to provide a graphical representation of numerical data stored in a three-dimensional matrix. Using the matrix M(x, y, z), the program maps data coordinates to a visually intuitive 3D space, where each matrix value corresponds to a color point in a 3D orthogonal grid. This allows users to explore complex data through visual patterns.
Matrix Structure and Data Visualization
Matrix Structure and Data Visualization
The program uses a 3D matrix to store values, where each (x, y, z) coordinate holds a specific color value. These color values represent points in 3D space, creating a vibrant and interactive visual display. For instance, the program can display multiple mathematical functions simultaneously. In the example shown, three functions—an orange circle, a red sphere, and a grey 3D function—are rendered within the same XYZ coordinate system. The values of X, Y, and Z are calculated within a selected range, and the corresponding color values are stored in the matrix.
Program Structure and Functionality
Program Structure and Functionality
The program is built around two key classes:
Main Class: Responsible for populating the 3D matrix with numerical values, representing coordinates and color data.
DrawMatrix Class: This class handles rendering the 3D graphical display, transforming the matrix into a visual output for users.
The user interface includes intuitive controls for manipulating the 3D scene. Using the WASD keys and arrow keys, users can easily rotate and zoom the graph, allowing for full exploration of the 3D space from any angle.
Development Environment and Requirements
Development Environment and Requirements
The program is implemented as a Windows Forms application, built in the SharpDevelop IDE using C# version 4.0 and the .NET Framework version 2.0. It leverages Microsoft's DirectX for 3D rendering, making it crucial for users to install the DirectX SDK Legacy if they wish to run, modify or extend the program.
Download DirectX SDK Legacy
Download DirectX SDK Legacy
Download and Explore
Download and Explore
Ideal for C# Beginners
Ideal for C# Beginners
This program serves as a practical example for C# developers looking to explore 3D graphics. It answers the common question: "How do I create a simple 3D scene, render points and lines, and control scene zoom and rotation with keyboard input?"
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