Recent content by Soulagenda

Thank you for that explanation things are starting to clear up. Sorry for my self-made terminology. Let me explain. For example, if you take a sphere centered at the origin with a radius of R. At any point on that sphere, if you construct a plane that the normal lies on, the intersection...

I apologize for the wait. I was in the midst of pondering on your response to see if it's really what I'm looking for. It seems to be a great starting point. I do have a few questions. Are your saying the divergence of the normal will give me the curvature? If so which curvature is this: mean...

Yes I see why the points alone do not define a unique surface but along with the normals and a condition of smoothness, I believe it minimizes the possible surfaces. However, determining the surface is not my problem. Your last statement is right on the nose. I'm trying to figure out how to...

Well thank you for considering to provide some assistance with my problem. You can google point cloud and get an idea of what it is. The solution for the picture I presented is on this website: http://www.solitaryroad.com/c326.html. However, it does not show or have a relationship for when the...

No, the initial surface data is given as a point cloud. I can get surface info such as slopes, the normal at points and such using numerical techniques. I haven't found any numerical techniques for determining curvature or second derivatives of interest on a surface. I just need the...

Discrete points meaning the (x, y, z) coordinates. So the surface is not defined by a function like z=f(x,y) but instead as a set of x(i,j), y(i,j) and z(i,j).

I hope I am able to formulate this question properly as I am not extremely versed in differential geometry. I have an arbitrary 3d smooth surface, S, defined by discrete points and their respective normal, N. I also have an arbitrary vector, V, pointing at that surface. I need the min and...