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Are there any problems with Ray Sphere intersection?
I’ve created a Ray and Sphere class and then a function in my main file which goes through each pixel to see if there’s an intersection (relevant code will be posted below). The problem is that the whole intersection with the sphere is acting rather strangely.
Which is an example of a ray object intersection?
Ray-Plane Intersection For example, consider a plane. If we specify the plane using a surface normal vector “plane_normal”, the distance along this normal from the plane to the origin, then points on a plane satisfy this equation: (2) dot(point_in_plane,plane_normal) = distance_to_origin
Which is the normal vector for a sphere?
A sphere’s normal is very simple–draw a line from the center point (often the origin) to the intersection point you just computed. That’s the normal vector. Ray-Hyperboloid Intersections
Where does the Ray enter and leave the sphere?
Two solutions, corresponding to the – and + versions of the square root, which are the ray entering and leaving the sphere respectively. Some of those solutions may be behind the camera! Exactly one solution, if b*b-4.0*a*c==0. This corresponds to the ray just barely grazing the surface of the sphere (tangent).
How do you know the length of a Ray Ray Sphere?
Since a² + b² = c², we already know the length of the edge labelled h (it’s the radius of the sphere) and the length of d. Using Pythagoras’ Theorem again gives us:
When is there no intersection between a ray and a PC?
If the distance from pc to the ray is greater than the ray then there is no intersection (sphere A in the above figure). If the distance from pc to the ray is equal to the radius of the sphere, then the intersection is a single point: pc (sphere B). The former case requires a little bit extra work.
Are there any possible cases of no intersection?
The following figure shows the three possible cases: no intersection (sphere A), single intersection (sphere B), and two intersections (sphere C). First compute the projection of the center of the sphere on the ray. Let pc be that projection.