author = {Clarenz, Ulrich and Litke, Nathan and Rumpf, Martin},
  title = {Axioms and Variational Problems in Surface Parameterization},
  journal = {Comput. Aided Geom. Design},
  year = {2004},
  volume = {21},
  pages = {727--749},
  number = {8},
  abstract = {For a surface patch on a smooth, two-dimensional surface in IR3, low-distortion
	parameterizations are described in terms of minimizers of suitable
	energy functionals. Appropriate distortion measures are derived from
	principles of rational mechanics, closely related to the theory of
	non-linear elasticity. The parameterization can be optimized with
	respect to the varying importance of conformality, length preservation
	and area preservation. A finite element discretization is introduced
	and a constrained Newton method is used to minimize a corresponding
	discrete energy. Results of the new approach are compared with other
	recent parameterization methods.},
  pdf = { 1},
  fjournal = {Computer Aided Geometric Design}