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Preserving sharp edges in geometry images

Published: 25 May 2009 Publication History

Abstract

A geometry image offers a simple and compact way of encoding the geometry of a surface and its implicit connectivity in an image-like data structure. It has been shown to be useful in multiple applications because of its suitability for efficient hardware rendering, level of detail, filtering, etc. Most existing algorithms generate geometry images by parameterizing the surface onto a domain, and by performing a regular resampling in this domain. Unfortunately, this regular resampling fails to capture sharp features present on the surface. In this paper, we propose to slightly alter the grid to align sample positions with corners and sharp edges in the geometric model. While doing so, our goal is to maintain the resulting geometry images simple to interpret, while producing higher quality reconstructions. We demonstrate an implementation in the planar domain and show results on a range of common geometrical models.

References

[1]
L. Balmelli, C. J. Morris, G. Taubin, and F. Bernardini. Volume warping for adaptive isosurface extraction. In VIS '02: Proc. conference on Visualization '02, pages 467--474, 2002.
[2]
S. Benson, L. C. McInnes, J. Moré, T. Munson, and J. Sarich. TAO user manual (revision 1.9). Technical Report ANL/MCS-TM-242, Mathematics and Computer Science Division, Argonne National Laboratory, 2007. http://www.mcs.anl.gov/tao.
[3]
N. A. Carr, J. Hoberock, K. Crane, and J. C. Hart. Rectangular multichart geometry images. In SGP '06: Proc. Eurographics symposium on Geometry Processing, pages 181--190, 2006.
[4]
I. Friedel. Approximation of Surfaces by Normal Meshes. PhD thesis, California Institute of Technology, 2005.
[5]
I. Friedel, P. Schröder, and M. Desbrun. Unconstrained spherical parameterization. In ACM SIGGRAPH 2005 Sketches, page 134, 2005.
[6]
M. Garland and P. S. Heckbert. Surface simplification using quadric error metrics. In SIGGRAPH '97, pages 209--216, 1997.
[7]
X. Gu, S. J. Gortler, and H. Hoppe. Geometry images. ACM Trans. Graph., 21(3):355--361, 2002.
[8]
T. Ju, F. Losasso, S. Schaefer, and J. Warren. Dual contouring of Hermite data. ACM Trans. Graph., 21(3):339--346, 2002.
[9]
L. P. Kobbelt, M. Botsch, U. Schwanecke, and H.-P. Seidel. Feature sensitive surface extraction from volume data. In SIGGRAPH '01, pages 57--66, 2001.
[10]
A. W. F. Lee, W. Sweldens, P. Schröder, L. Cowsar, and D. Dobkin. Maps: multiresolution adaptive parameterization of surfaces. In SIGGRAPH '98, pages 95--104, 1998.
[11]
B. Lévy, S. Petitjean, N. Ray, and J. Maillot. Least squares conformal maps for automatic texture atlas generation. In SIGGRAPH '02, pages 362--371, 2002.
[12]
W. E. Lorensen and H. E. Cline. Marching cubes: A high resolution 3D surface construction algorithm. SIGGRAPH Comput. Graph., 21(4):163--169, 1987.
[13]
F. Losasso, H. Hoppe, S. Schaefer, and J. Warren. Smooth geometry images. In Proc. Eurographics/ACM SIGGRAPH symposium on Geometry Processing, pages 138--145, 2003.
[14]
E. Praun and H. Hoppe. Spherical parametrization and remeshing. ACM Trans. Graph., 22(3):340--349, 2003.
[15]
G. Ramanarayanan, K. Bala, and B. Walter. Feature-based textures. In Proc. Eurographics Symposium on Rendering, pages 265--274, 2004.
[16]
P. V. Sander, J. Snyder, S. J. Gortler, and H. Hoppe. Texture mapping progressive meshes. In SIGGRAPH '01, pages 409--416, 2001.
[17]
P. V. Sander, Z. J. Wood, S. J. Gortler, J. Snyder, and H. Hoppe. Multichart geometry images. In Proc. Eurographics/ACM SIGGRAPH symposium on Geometry Processing, pages 146--155, 2003.
[18]
P. Sen, M. Cammarono, and P. Hanrahan. Shadow silhouette maps. ACM Trans. Graph., 22(3):521--526, 2003.
[19]
A. Sheffer, E. Praun, and K. Rose. Mesh parameterization methods and their applications. Foundations and Trends in Computer Graphics and Vision, 2(2): 105--171, 2006.
[20]
B. Wyvill and K. van Overveld. Polygonization of implicit surfaces with constructive solid geometry. Journal of Shape Modelling, 2(4):257--273, 1996.

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cover image Guide Proceedings
GI '09: Proceedings of Graphics Interface 2009
May 2009
257 pages
ISBN:9781568814704

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  • The Canadian Human-Computer Communications Society / Société Canadienne du Dialogue Humaine Machine (CHCCS/SCDHM)

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Canadian Information Processing Society

Canada

Publication History

Published: 25 May 2009

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GI '09 Paper Acceptance Rate 28 of 77 submissions, 36%;
Overall Acceptance Rate 206 of 508 submissions, 41%

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