OpenGL project

Visualizing Point Position Relative to a Line using OpenGL

This interactive visualization tool illustrates how to determine whether a 2D point lies above, below, or exactly on a line using the signed area (cross product) method.

Color Coding for Intuition

• 🔴 Red — Point is above the line

• 🔵 Blue — Point is below the line

• 🟢 Green — Point lies on the line

Find intersecting points Two Triangle Mesh Project

This project demonstrates how to represent basic 3D geometry — points, lines, and triangles — and test whether two triangles intersect in 3D space. It uses OpenGL for visualization and organizes code into:

• file_handle.h → header with class definitions

• file_handle.cpp → implementations and intersection logic

• two_triangle.cpp → driver program to draw and test triangles

Intersection between line and triangle and finding the common intersection point also?

The file_handle.cpp code provides a set of geometric utilities for 2D and 3D computations, primarily for use with OpenGL (via GLFW and GL libraries). It defines classes for points, lines, triangles, and polygons, along with methods to compute areas, check point containment, and detect intersections. Key functionalities include calculating the area of triangles and polygons in 2D and 3D, checking if a point lies within a convex polygon, and determining if a line segment intersects a triangle using an area-sum method.

Geometric Point Analysis in 2D and 3D in Plane triangle

calculating areas and checking point containment. The point class supports vector operations, while triangle and polygon provide methods for rendering and geometric analysis, such as determining if a point lies within a convex polygon in 2D. Although not explicitly defined, the classes enable checks for whether a point is in, outside, or coplanar with a triangle’s plane by leveraging vector operations and plane equations. This header is designed for use in computer graphics, game development, and computational geometry.