Implicit representation is hard to know the point directly, but it is easy to check if the point is inside or outside. Can we iterate through all the points, and then exclude all the points that are outside and inside, so we can get all the points on surface?
Max
Sure! Except, how do we iterate the uncountably infinite number of points...
(This is actually what you do to generate the grid in slide 39)
jasonx
Knowing which points to sample is interesting also. See Monte Carlo integration and stratified sampling.
Implicit representation is hard to know the point directly, but it is easy to check if the point is inside or outside. Can we iterate through all the points, and then exclude all the points that are outside and inside, so we can get all the points on surface?
Sure! Except, how do we iterate the uncountably infinite number of points...
(This is actually what you do to generate the grid in slide 39)
Knowing which points to sample is interesting also. See Monte Carlo integration and stratified sampling.