Abstract
Spherical mapping is a key enabling technology in modeling and processing genus-0 close surfaces. A closed genus-0 surface can be seamless parameterized onto a unit sphere. We develop an effective progressive optimization scheme to compute such a parametrization, minimizing a nonlinear energy balancing angle and area distortions. Among all existing state-of-the-art spherical mapping methods, the main advantage of our spherical mapping are two-folded: (1) the algorithm converges very efficiently, therefore it is suitable for handling huge geometric models, and (2) it generates bijective and lowly distorted mapping results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Friedel, I., Schröder, P., Desbrun, M.: Unconstrained spherical parameterization. In: SIGGRAPH Sketches (2005)
Gu, X., Yau, S.T.: Global conformal surface parameterization. In: Proc. Symp. of Geometry Processing, pp. 127–137 (2003)
Hoppe, H.: Progressive meshes. In: SIGGRAPH, pp. 99–108 (1996)
Hormann, K., Greiner, G.: Mips: An efficient global parametrization method. In: Curve and Surface Design: Saint-Malo 1999, pp. 153–162 (2000)
Lee, D.T., Preparata, F.P.: An optimal algorithm for finding the kernel of a polygon. J. ACM 26(3), 415–421 (1979)
Li, X., Bao, Y., Guo, X., Jin, M., Gu, X., Qin, H.: Globally optimal surface mapping for surfaces with arbitrary topology. IEEE Trans. on Visualization and Computer Graphics 14(4), 805–819 (2008)
Li, X., He, Y., Gu, X., Qin, H.: Curves-on-surface: A general shape comparison framework. In: Proc. IEEE International Conf. on Shape Modeling and Applications, pp. 352–357 (2006)
Nocedal, J., Wright, S.J.: Numerical Optimization (2006)
Praun, E., Hoppe, H.: Spherical parametrization and remeshing. ACM Trans. Graph. 22, 340–349 (2003)
Sander, P.V., Snyder, J., Gortler, S.J., Hoppe, H.: Texture mapping progressive meshes. In: SIGGRAPH, pp. 409–416 (2001)
Zayer, R., Rossl, C., Seidel, H.P.: Curvilinear spherical parameterization. In: Proc. IEEE International Conf. on Shape Modeling and Applications (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wan, S., Ye, T., Li, M., Zhang, H., Li, X. (2012). Efficient Spherical Parametrization Using Progressive Optimization. In: Hu, SM., Martin, R.R. (eds) Computational Visual Media. CVM 2012. Lecture Notes in Computer Science, vol 7633. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34263-9_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-34263-9_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34262-2
Online ISBN: 978-3-642-34263-9
eBook Packages: Computer ScienceComputer Science (R0)