Thin plate energy functional
id:
thin-plate-energy-functional-308-11485054
title:
Thin plate energy functional
text:
The exact thin plate energy functional (TPEF) for a function f is where κ 1 and κ 2 are the principal curvatures of the surface mapping f at the point . This is the surface integral of κ 1 2 + κ 2 2 , hence the g in the integrand. Minimizing the exact thin plate energy functional would result in a system of non-linear equations. So in practice, an approximation that results in linear systems of equations is often used. The approximation is derived by assuming that the gradient of f is 0. At any
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Thin_plate_energy_functional
date created:
date modified:
2022-08-28T05:20:43Z
main entity:
{"identifier":"Q25304583","url":"https://www.wikidata.org/entity/Q25304583"}
image:
fields total:
13
integrity:
13