author = {Clarenz, U.},
  title = {The {Wulff-shape} minimizes an anisotropic {Willmore} functional},
  journal = {Interfaces and Free Boundaries},
  year = {2004},
  volume = {6},
  pages = {351--359},
  number = {3},
  abstract = {The aim of this paper is to find a fourth order energy having Wulff-shapes
	as minimizers. This question is motivated by surface restoration
	problems. In surface restoration a damaged region of a surface is
	replaced by a surface patch which restores the region in a suitable
	way. In particular one aims for $C^1$-continuity at the patch boundary.
	A fourth order energy is considered to measure fairness and to allow
	appropriate boundary conditions ensuring continuity of the normal
	field. Here, anisotropy comes into play if a surface is destroyed
	which contains edges and corners. In the present paper we define
	a generalization of the classical Willmore functional and prove that
	Wulff-shapes are the only minimizers.},
  pdf = { 1}