How to Apply orthographic projection using cpp programming.mp4

Orthographic projection is a method of representing three-dimensional objects in two dimensions, where the projections are parallel and do not converge. To implement orthographic projection in C++, you need to transform 3D coordinates into 2D coordinates by ignoring the depth information.

Here’s a basic example of how you might apply orthographic projection using C++:

1. Define the 3D points: Start by defining your 3D points.

2. Apply the orthographic projection matrix: This matrix will project the 3D points onto a 2D plane.

3. Convert the projected points to screen coordinates: Adjust the coordinates for rendering.

Here is a simple C++ example:

cpp
#include <iostream>
#include <vector>

// Define a struct to represent a 3D point
struct Point3D {
    float x, y, z;
};

// Define a struct to represent a 2D point
struct Point2D {
    float x, y;
};

// Function to perform orthographic projection
Point2D orthographicProjection(const Point3D& point) {
    // In orthographic projection, we discard the z coordinate
    Point2D projectedPoint;
    projectedPoint.x = point.x;
    projectedPoint.y = point.y;
    return projectedPoint;
}

int main() {
    // Define some 3D points
    std::vector<Point3D> points3D = {
        {1.0f, 2.0f, 3.0f},
        {4.0f, 5.0f, 6.0f},
        {7.0f, 8.0f, 9.0f}
    };

    // Project the 3D points to 2D
    std::vector<Point2D> points2D;
    for (const auto& point : points3D) {
        points2D.push_back(orthographicProjection(point));
    }

    // Print the 2D points
    for (const auto& point : points2D) {
        std::cout << "2D Point: (" << point.x << ", " << point.y << ")\n";
    }

    return 0;
}

Explanation:

1. Point3D and Point2D Structures: We use structs to represent 3D and 2D points.

2. orthographicProjection Function: This function takes a 3D point and returns a 2D point by simply discarding the z-coordinate.

3. Main Function:

   • Define 3D Points: We create a list of 3D points.
   • Projection: We project each 3D point to 2D using the orthographicProjection function.
   • Print Results: We output the 2D points to the console.

In a more complex application, you might also need to handle scaling and translating to fit the 2D viewport. This basic example demonstrates the core concept of orthographic projection.

 

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