Almost isometric mesh parameterization through abstract domains

IEEE Transaction on Visualization and Computer Graphics, Volume 16, Number 4, page 621-635 - July/August 2010
Download the publication : Pietroni Tarini Cignoni - Almost isometric mesh parameterization - TVCG 2009.pdf [12.2Mo]  

In this paper we propose a robust, automatic technique to build a global hi-quality parameterization of a two-manifold triangular mesh. An adaptively chosen 2D domain of the parameterization is built as par t of the process. The produced parameterization exhibits very low isometric distor tion, because it is globally optimized to preser ve both areas and angles. The domain is a collection of equilateral triangular 2D regions enriched with explicit adjacency relationships (it is abstract in the sense that no 3D embedding is necessary). It is tailored to minimize isometric distor tion, resulting in excellent parameterization qualities, even when meshes with complex shape and topology are mapped into domains composed of a small number of large continuous regions. Moreover, this domain is in turn remapped into a collection of 2D square regions, unlocking many advantages found in quad-based domains (e.g. ease of packing). The technique is tested on a variety of cases, including challenging ones, and compares ver y favorably with known approaches.

Talk Slides

An open source implementation is made available in our mesh processing system MeshLab .

Here some downloadable data for comparisons

Here some processed scanned model with color on texture

Here some comparison with other parametrization/remeshing methods

Here some colored by considering isometry

Images and movies


BibTex references

  author       = "Pietroni, Nico and Tarini, Marco and Cignoni, Paolo",
  title        = "Almost isometric mesh parameterization through abstract domains",
  journal      = "IEEE Transaction on Visualization and Computer Graphics",
  number       = "4",
  volume       = "16",
  pages        = "621-635",
  month        = "July/August",
  year         = "2010",
  url          = ""

Other publications in the database

» Nico Pietroni
» Marco Tarini
» Paolo Cignoni