Lecture 9: Intro to Ray-Tracing & Accelerating Ray-Scene Intersection (24)
yzliu567
So here finding the intersection point with an implicit surface is equivalent to solving the equation. Then are there any fast numerical methods designed for solving this kind of equations when the implicit representation is very sophisticated(for example neural networks)?
rishiarjun
When we're looking at an intersection of the ray with an implicit surface, how would we find the intersection when looking at the different shape equations listed on the slide? Do we just substitute the equation into r(t) as t, and then make it equal 0. What do the real positive roots really represent in this solution?
sZwX74
@rishiarjun Similar to the previous slide, we rewrite the expression inside the function of the implicit surface in terms of the ray equation o+td, and then solve for the roots, which are still going to be the intersection points of the ray and the surface.
So here finding the intersection point with an implicit surface is equivalent to solving the equation. Then are there any fast numerical methods designed for solving this kind of equations when the implicit representation is very sophisticated(for example neural networks)?
When we're looking at an intersection of the ray with an implicit surface, how would we find the intersection when looking at the different shape equations listed on the slide? Do we just substitute the equation into r(t) as t, and then make it equal 0. What do the real positive roots really represent in this solution?
@rishiarjun Similar to the previous slide, we rewrite the expression inside the function of the implicit surface in terms of the ray equation o+td, and then solve for the roots, which are still going to be the intersection points of the ray and the surface.