A powerful tool for WebGL, OpenGL, and game developers.

Radians Degrees
Infinite Far Plane

Resulting Matrix (Column-Major Order)

How to Use Our Tool

Generate the perfect projection matrix for your 3D graphics project in just a few clicks. Our tool simplifies complex calculations for developers and students alike.

  1. Select a Mode: Choose between Perspective, Orthographic, or Custom Frustum using the tabs at the top.
  2. Enter Parameters: Fill in the required fields. For Perspective, you can switch between degrees and radians for the Field of View (FOV).
  3. Calculate: Click the "Calculate Matrix" button to instantly generate the 4x4 matrix.
  4. Copy & Use: The result is displayed in column-major order, standard for WebGL and OpenGL. Use the copy button to get a comma-separated string for easy pasting into your code.

Advanced Features

This calculator is more than just a simple tool; it's a feature-rich utility designed for modern rendering pipelines and precise control.

  • Infinite Far Plane: A crucial option for modern deferred rendering or large-world games to massively improve depth precision and reduce Z-fighting artifacts.
  • Custom Asymmetric Frustum: Go beyond standard projections. Ideal for creating off-axis views, stereo rendering (VR), or complex shadow mapping setups.
  • Interactive & Responsive: The interface works flawlessly on any device, from your desktop to your smartphone, allowing you to work on the go.
  • Error Handling: The tool provides clear error messages for invalid inputs (e.g., near plane larger than the far plane), preventing common mistakes.

Benefits for Your 3D Projects

Integrating our calculator into your workflow provides immediate, tangible benefits for any WebGL, OpenGL, or game development project.

  • Save Time & Reduce Errors: Eliminate the need for manual calculations and potential bugs. Get a correct, production-ready matrix every time.
  • Enhance Learning: An excellent educational resource for visually understanding how parameters like FOV, aspect ratio, and clipping planes affect the final projection matrix.
  • Improve Rendering Quality: Use advanced features like the infinite far plane to directly solve common rendering issues and improve the visual fidelity of your 3D scenes.
  • Streamline Development: Quickly prototype different camera views and settings without recompiling code. The one-click copy feature makes transferring data to your engine seamless.
Denounce with righteous indignation and dislike men who are beguiled and demoralized by the charms pleasure moment so blinded desire that they cannot foresee the pain and trouble.