For each pixel in image {
Create ray from eyepoint passing through this pixel
Initialize NearestT to INFINITY and NearestObject to NULL

For every object in scene {
If ray intersects this object {
If t of intersection is less than NearestT {
Set NearestT to t of the intersection
Set NearestObject to this object
}
}
}

If NearestObject is NULL {
Fill this pixel with background color
} Else {
Shoot a ray to each light source to check if in shadow
If surface is reflective, generate reflection ray: recurse
If surface is transparent, generate refraction ray: recurse
Use NearestObject and NearestT to compute shading function
Fill this pixel with color result of shading function
}
}