Makogan

I know how busy a PhD is, expecially if you are getting close to defending

Of course, just making sure.

Is it ok for me to ping you on stack every now an then?

I will need to read it later though, I am technically still on the clock atm

I will give it a read then. Thank you!

thank you

:p

Remember my knowledge base is extremely scattered

mcm?

I hope you don't consider how much I come to you for help obnoxious

I cannot stress how much I value your help lol

You are one of my most useful acquaintances

Thank you criver

This is a really nice starting point.

the flow direction would be given by the curvature

yes that seems exactly like the kind of stuff I need

mhmm

can you suggest a resource?

Interesting, that sounds like a good topic to read more about

so inthe 3D case the checkers are cubes

I am considering a volume of checkers

I would get a better intuition

or morphing space aorund an object

which are sort of doing this process

I know desiginign the energy funcitonal would be challenging, hence why I was hoping if I read on gravitational waves specifically

like in my head, in the 2D setting, really what you are trying to do is make your checkers curve to remain parallel to the curve, while preserving as much volume as you can

to give myself the foundations to try to define the proper energy funcitonl

The math relevant to gravitational field and space distortion

Well, that;s why I am trying to ask about the math I don't know

nto as a mesh

if you need to discretize then you discretize as a volume grid

The discretization would be spatial

and want to solve it "properly"

I just hate the way we did it

and the topic was actually this problem

I sort of am, my masters thesis was with one of the pioners in mesh parametrization

and aligned the checker texture around that point, then the distorted checker cube should curve parallel to the surface

if you drwe very small checkers

i.e. your iso surface has a curvature

And minimize local curvature

What I think I need to preserve is, minimize volume distortion locally

leas squares conformal maps

e.g. LSCM

I am trying to define that actually. On traditional texturing, "wrapping around" means you are computing an embedding of a chart, subject to a constraint where two points are fixed and you are maximazing cofnormality

Yes

that is trying to minimize some energy functional

That means I am looking for a map f: R^3 -> R^3