| Signal-specialized parameterization for piecewise linear reconstruction |
| Full text |
Pdf
(388 KB)
|
| Source
|
ACM International Conference Proceeding Series; Vol. 71
archive
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
table of contents
Nice, France
SESSION: Session 2
table of contents
Pages: 55 - 64
Year of Publication: 2004
ISBN ~ ISSN:1727-8384 , 3-905673-13-4
|
|
Authors
|
|
Geetika Tewari
|
Harvard University, Cambridge, MA
|
|
John Snyder
|
Microsoft Research, Redmond, WA
|
|
Pedro V. Sander
|
ATI Research, Marlborough, MA
|
|
Steven J. Gortler
|
Harvard University, Cambridge, MA
|
|
Hugues Hoppe
|
Microsoft Research, Redmond, WA
|
|
| Sponsor |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 7, Downloads (12 Months): 21, Citation Count: 6
|
|
|
ABSTRACT
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our metric predicts the signal approximation error - the difference between the original surface signal and its reconstruction from the sampled texture. Unlike previous methods, our metric assumes piecewise-linear reconstruction, and thus makes a good approximation to bilinear reconstruction employed in graphics hardware. We achieve significant savings in texture area for a desired signal accuracy compared to the signal-specialized parameterization metric proposed by Sander et al. in the 2002 Eurographics Workshop on Rendering.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
{BBT02} Balmelli L., Bernardini F., Taubin G.: Space-optimized texture maps. Computer Graphics Forum (Eurographics) 21, 3 (2002), 411--420.
|
 |
2
|
|
| |
3
|
{DCDA97} Duchamp T., Certain A., DeRose T., and W.: Hierarchical Computation of PL harmonic Embeddings. Tech. rep., University of Washington., 1997.
|
| |
4
|
{DMA02} Desbrun M., Meyer M., Alliez P.: Intrinsic parameterizations of surface meshes. Computer Graphics Forum (Eurographics) 21, 3 (2002), 209--218.
|
 |
5
|
|
| |
6
|
{FH04} Floater M. S., Hormann K.: Surface parameterization: a tutorial and survey. In Advances on Multiresolution in Geometric Modelling, Dodgson N., Floater M. S.,, Sabin M., (Eds.). Springer-Verlag, Heidelberg, Heidelberg, Denmark, 2004.
|
| |
7
|
|
| |
8
|
|
| |
9
|
Steven Haker , Sigurd Angenent , Allen Tannenbaum , Ron Kikinis , Guillermo Sapiro , Michael Halle, Conformal Surface Parameterization for Texture Mapping, IEEE Transactions on Visualization and Computer Graphics, v.6 n.2, p.181-189, April 2000
[doi> 10.1109/2945.856998]
|
| |
10
|
{HG00} Hormann K., Greiner G.: MIPS: An efficient global parameterization method. In Curve and Surface Design: Saint-Malo 1999, Laurent P.-J., Sablonnière P.,, Schumaker L. L., (Eds.). Vanderbilt University Press, Nashville, TN, 2000, pp. 153--162.
|
 |
11
|
|
| |
12
|
{KLS03} Khodakovsky A., Litke N., Schroder P.: Globally smooth parameterizations with low distortion. In SIGGRAPH (2003), pp. 350--357.
|
 |
13
|
|
 |
14
|
|
 |
15
|
|
 |
16
|
|
| |
17
|
{Nad86} Nadler E.: Piecewise linear best l2 approximation on triangulations. In Approximation Theory V, et al. C. K. C., (Ed.). Academic Press, 1986, pp. 499--502.
|
| |
18
|
{PH03} Praun E., Hoppe H.: Spherical parameterization and remeshing. In SIGGRAPH (2003), pp. 340--349.
|
| |
19
|
{PP93} Pinkall U., Polthier K.: Computing discrete minimal surfaces and their conjugates, Experiment. Math. 2, 1 (1993), 15--36.
|
| |
20
|
|
| |
21
|
{SdS01} Sheffer A., De Sturler E.: Parameterization of faceted surfaces for meshing using angle-based flattening. Engineering and Computers 17, 3 (2001), 326--337.
|
| |
22
|
|
| |
23
|
|
| |
24
|
|
 |
25
|
|
| |
26
|
{SWB98} Sloan P.-P., Weinstein D., Brederson. J.: Importance driven texture coordinate optimization. Computer Graphics Forum (Eurographics) 17, 3 (1998), 97--104.
|
| |
27
|
{Tut60} Tutte W. T.: Convex representations of graphs. London Math. Soc. 10 (1960), 204--320.
|
| |
28
|
{TV91} Terzopoulos D., Vasilescu M.: Sampling and reconstruction with adaptive meshes. CVPR (1991), 70--75.
|
CITED BY 6
|
|
|
|
|
Mario Botsch , Mark Pauly , Christian Rossl , Stephan Bischoff , Leif Kobbelt, Geometric modeling based on triangle meshes, ACM SIGGRAPH 2006 Courses, July 30-August 03, 2006, Boston, Massachusetts
|
|
|
|
|
|
|
|
|
|
|
|
|
|