Skip to main content

UV Map Generation on Triangular Mesh

  • Living reference work entry
  • First Online:
  • 283 Accesses

Synonyms

Mesh parameterization; Parameterization; Spectral analysis; UV map

Definition

UV map is a bijective mapping from a surface to a 2D domain. Each vertex on the surface has XYZ coordinates representing the position of a space. The corresponding vertex in 2D domain has UV coordinates ranging from 0 to 1.

Triangular mesh is a collection of vertices, edges, and faces that describes a 3D shape in computer graphics. Most of parameterization methods give a restriction that the input mesh should be a 2-manifold.

Introduction

UV Map generation is an essential process in 3D modeling. Given two surfaces with the same topology, the bijective mapping between them is called mesh parameterization so that UV map is a special case of mesh parameterization. Many applications such as texture mapping, morphing, mesh completion, model compression, remeshing, etc., need a good UV map as a prerequisite. A good UV map is characterized by following properties:

Low stretch.UV map usually has a degree...

This is a preview of subscription content, log in via an institution.

References

  • Campen, M., Bommes, D., Kobbelt, L.: Quantized global parametrization. ACM Trans. Graph. 34(6), 1–12 (2015)

    Article  Google Scholar 

  • Hormann K, Polthier K, Sheffer A: Mesh parameterization. ACM SIGGRAPH ASIA 2008 courses on – SIGGRAPH Asia, 02 Aug 2008, pp 1–87 (2008)

    Google Scholar 

  • Huang, X., Walbourn, C.: Uvatlas (2014) https://github.com/Microsoft/UVAtlas

  • Katz, S., Tal, A.: Hierarchical Mesh Decomposition Using Fuzzy Clustering and Cuts, vol 22. ACM (2003)

    Google Scholar 

  • Lévy, B.: Graphite: An experimental 3d geometry processing program (2008) http://alice.loria.fr/software/graphite/doc/html/

  • Lévy, B., Petitjean, S., Ray, N., Maillot, J.: Least squares conformal maps for automatic texture atlas generation. ACM Trans. Graph. 21, 362–371 (2002)

    Article  Google Scholar 

  • Pietroni, N., Tarini, M., Cignoni, P.: Almost isometric mesh parameterization through abstract domains. IEEE Trans. Vis. Comput. Graph. 16(4), 621–635 (2010)

    Article  Google Scholar 

  • Sander, P.V., Snyder, J., Gortler, S.J., Hoppe, H.: Texture mapping progressive meshes. In: Proceedings of the 28th annual conference on Computer graphics and interactive techniques (August), pp 409–416 (2001) https://doi.org/10.1145/383259.383307

  • Sander, P.V., Hoppe, H., Gortler, S., Snyder, J.: Signal-specialized parameterization (2002)

    Google Scholar 

  • Sheffer, A., Lévy, B., Mogilnitsky, M., Bogomyakov, A.: ABF++: fast and robust angle based flattening. ACM Trans. Graph. 24(2), 311–330 (2005)

    Article  Google Scholar 

  • Tarini, M.: Volume-encoded UV-maps. ACM Trans. Graph. 35(4), 1–13 (2016)

    Article  Google Scholar 

  • Tenenbaum, J.B., De Silva, V., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science. 290(5500), 2319–2323 (2000)

    Article  Google Scholar 

  • Zhou, K., Synder, J., Guo, B., Shum, H.Y.: Iso-charts: stretch-driven mesh parameterization using spectral analysis. In: Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing, ACM, pp 45–54 (2004)

    Google Scholar 

  • Zigelman, G., Kimmel, R., Kiryati, N.: Texture mapping using surface flattening via multidimensional scaling. IEEE Trans. Vis. Comput. Graph. 8(2), 198–207 (2002)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Min Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Wang, M., Ma, L. (2018). UV Map Generation on Triangular Mesh. In: Lee, N. (eds) Encyclopedia of Computer Graphics and Games. Springer, Cham. https://doi.org/10.1007/978-3-319-08234-9_98-1

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08234-9_98-1

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08234-9

  • Online ISBN: 978-3-319-08234-9

  • eBook Packages: Springer Reference Computer SciencesReference Module Computer Science and Engineering

Publish with us

Policies and ethics