Physics Rendering via Ray Casting with Black Holes

In this assignment, you are asked to develop a simple renderer using ray casting. The underlying physics will be a bit stranger than the $$realistic$$ ones we typically use. Here are what you are expected to do:

$1.$ Build a $3$D world in Unity with at least $4$ separate objects $($total # of triangles to be at least $10,000)$ with adjustable pose and Lambertian materials Add at least three different light sources $($intensity and position should be adjustable$).2.$ Assume that there is only one type of material for objects, i$.$e$.,.$ Lambertian$).3.$ Your camera is a pinhole camera with adjustable FoV, center and viewing directions. $4.$ The physics of the ray casting is a bit different than the visible world we live in$.$ A ray goes on a straight line when there are no black holes. When there is a black hole, any ray starting from a position ends at the black hole. The photon for the ray goes through a degree $2$ curve.

Build an image of size $640$x$480$ using your ray caster.

Figure $1$Rays $($red$)$ move along a straight line when there is no black holes. When there is one, the straight line curves

toward the blackhole with a quadratic curve.

Some hints:

$*$ The reality changes, assume there is a black hole, light is not moving straight anymore, blackhole bends the light towards itself.

$*$ There is an equation that must be used.

$*$ Find out ray casting.

$*$ The new reality look a bit more distorted.

$*$ The output must be an image, but it is a distorted image due to blackhole.

$*$ We are sending ray to black hole.

$*$ Basically, at a certain point, you are sending ray towards the blackhole. In the middle of them, there is a plane and ray intersects with that plane. At this intersection point, there is an rgb value, you should get that value and display a distorted image as output. Objects should look distorted in the image.

$*$ Rays sent from the source to the blackhole is not going straight, they are bending.