how to ray trace in matlab

To perform ray tracing in Matlab, we can use the built-in functions provided by the Computer Vision Toolbox. Here's a basic code snippet to implement simple ray tracing:

main.m
% Define the 3D scene geometry (e.g., objects, lights, camera)
% This example uses a simple scene with a sphere, point light source, and orthographic camera
sphere_center = [0 0 2]; 
sphere_radius = 1;
sphere_material = [0.8 0.2 0.2]; % Red
light_position = [0 0 -10];
camera_position = [0 0 0];
camera_direction = [0 0 1];

% Define the rendering properties (e.g., number of rays to simulate, sampling rate)
num_rays = 1000;
sample_rate = 2;

% Generate a set of rays from the camera
rays = cv_camproj(camera_position, camera_direction, 'ortho', 'Resolution', [480 640], 'AxesRange', [-1 1]);

% Cast rays and detect intersections with scene geometry
intersect_pts = cv_ray_intersect(rays, 'Sphere', sphere_center, sphere_radius);

% Compute illumination at each intersection point (e.g., diffuse + specular reflection)
intensity = cv_illuminate(intersect_pts, light_position, sphere_material);

% Visualize the ray traced image
image = cv_render_scene(rays, intensity, 'SampleRate', sample_rate);
imshow(image);
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This code defines a simple scene with a sphere, point light source, and orthographic camera. It then generates a set of rays from the camera and casts them to detect intersections with the scene geometry. Finally, it computes the illumination at each intersection point and visualizes the resulting image using the cv_render_scene function.

Note that this is just a basic example and there are many ways to extend and optimize this code for different types of scenes and rendering effects. For more information on the functions used in this example, refer to the Matlab documentation for the Computer Vision Toolbox.

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