Fundamental 2D Bezier Curves

A simple project for implementing degree-n 2D Bezier Curves and related concepts.

• It is built using C++.
• Rendering is performed using OpenGL, shaders, gl3w and glfw3.
• User interface is implemented using imgui.
• Saving .tiff image is done using DevIL.
• Uses file selection and saving dialogs from Tiny File Dialogs.

Implemented Operations

Related concepts implemented in the project include:

• Raising the degree of the curve.
• Remapping the parameterization range from 0-1 to any x-y.
• Extending the curve for t<0 and t>1.
• Curve subdivision at given parameter t (generating two independent Bezier Curves).

Notes

The current implementation can be immediately adapted for 3D Bezier Curves. Currently, all Z-coordinates are set to 0.0.