Full Text:   <2606>

CLC number: TP391

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

Crosschecked: 0000-00-00

Cited: 12

Clicked: 4911

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.7 P.1210-1214

http://doi.org/10.1631/jzus.2006.A1210


Curvature detail representation of triangular surfaces


Author(s):  WU Jin-zhong, LIU Xue-hui, WU En-hua

Affiliation(s):  State Key Lab of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100080, China; more

Corresponding email(s):   wjz@ios.ac.cn, lxh@ios.ac.cn, EHWu@umac.mo

Key Words:  Curvature, Detail representation, Mesh editing, Shape editing, Dirichlet energy


WU Jin-zhong, LIU Xue-hui, WU En-hua. Curvature detail representation of triangular surfaces[J]. Journal of Zhejiang University Science A, 2006, 7(7): 1210-1214.

@article{title="Curvature detail representation of triangular surfaces",
author="WU Jin-zhong, LIU Xue-hui, WU En-hua",
journal="Journal of Zhejiang University Science A",
volume="7",
number="7",
pages="1210-1214",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A1210"
}

%0 Journal Article
%T Curvature detail representation of triangular surfaces
%A WU Jin-zhong
%A LIU Xue-hui
%A WU En-hua
%J Journal of Zhejiang University SCIENCE A
%V 7
%N 7
%P 1210-1214
%@ 1673-565X
%D 2006
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2006.A1210

TY - JOUR
T1 - Curvature detail representation of triangular surfaces
A1 - WU Jin-zhong
A1 - LIU Xue-hui
A1 - WU En-hua
J0 - Journal of Zhejiang University Science A
VL - 7
IS - 7
SP - 1210
EP - 1214
%@ 1673-565X
Y1 - 2006
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2006.A1210


Abstract: 
curvature tells much about details of surfaces and is studied widely by researchers in the computer graphics community. In this paper, we first explain the mean-curvature view of dirichlet energy of triangular surfaces and introduce a curvature representation of details, and then present surfaces editing applications based on their curvature representation. We apply our method to surfaces with complex boundaries and rich details. Results show the validity and robustness of our method and demonstrate curvature map can be a helpful surfaces detail representation.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Alliez, P., Cohen-Steiner, D., Devillers, O., Levy, B., Desbrun, M., 2003. Anisotropic polygonal remeshing. ACM Trans. on Graphics, 22(3):485-493.

[2] Au, O.K.C., Tai, C.L., Fu, H.B., Liu, L.G., 2005. Mesh Editing with Curvature Flow Laplacian. Proceedings of Symposium on Geometry Processing, poster.

[3] Cohen-Steiner, D., Morvan, J.M., 2003. Restricted Delaunay Triangulations and Normal Cycle. Proc. 19th Annu. ACM Sympos. Comput. Geom., p.237-246.

[4] Desbrun, M., Meyer, M., Schroder, P., Barr, A.H., 1999. Implicit Fairing of Irregular Meshes Using Diffusion and Curvature Flow. Proceedings SIGGRAPH’99, p.317-324.

[5] Desbrun, M., Meyer, M., Alliez, P., 2002. Intrinsic parameterizations of surface meshes. Computer Graphics Forum, 21(3):209-218.

[6] Guillaume, L., Florent, D., Atilla, B., 2004. Curvature Tensor Based Triangle Mesh Segmentation with Boundary Rectification. Proc. Computer Graphics International 2004 (CGI2004), p.10-17.

[7] Igarashi, T., Moscovich, T., Hughes, J.F., 2005. As-rigid-as-possible shape manipulation. ACM Trans. on Graphics, 24(3):1134-1141.

[8] Ju, T., Schaefer, S., Warren, J., 2005. Mean value coordinates for closed triangular meshes. ACM Trans. on Graphics, 24(3):561-566.

[9] Lee, C.H., Varshney, A., Jacobs, D.W., 2005. Mesh saliency. ACM Trans. on Graphics, 24(3):659-666.

[10] Lipman, Y., Sorkine, O., Levin, D., Cohen-Or, D., 2005. Linear rotation-invariant coordinates for meshes. ACM Trans. on Graphics, 24(3):479-487.

[11] Meyer, M., Desbrun, M., Schröder, P., Barr, A.H., 2002. Discrete Differential-Geometry Operators for Triangulated 2-Manifolds. Visualization and Mathematics III, p.35-57.

[12] Nealen, A., Sorkine, O., Alexa, M., Cohen-Or, D., 2005. A sketch-based interface for detail preserving mesh editing. ACM Trans. on Graphics (SIGGRAPH’05), 24(3):1142-1147.

[13] Nguyen, M.X., Yuan, X.R., Chen, B.Q., 2005. Geometry completion and detail generation by texture synthesis. The Visual Computer, 21(8-10):669-678.

[14] Pérez, P., Gangnet, M., Blake, A., 2003. Poisson image editing. ACM Trans. on Graphics (SIGGRAPH’03), 22(3):313-318.

[15] Pinkall, U., Polthier, K., 1993. Computing discrete minimal surfaces and their conjugates. Experimental Mathematics, 2(1):15-36.

[16] Sorkine, O., Lipman, Y., Cohen-Or, D., Alexa, M., Rössl, C., Seidel, H.P., 2004. Laplacian Surface Editing. Proceedings of Symposium on Geometry Processing, p.179-188.

[17] Taubin, G., 1995. Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation. Proceedings of the Fifth International Conference on Computer Vision, p.902-907.

[18] Yamauchi, H., Gumhold, S., Zayer, R., Seidel, H.P., 2005. Mesh segmentation driven by gaussian curvature. The Visual Computer, 21(8-10):659-668.

[19] Yu, Y.Z., Zhou, K., Xu, D., Shi, X.H., Bao, H.J., Guo, B.N., Shum, H.Y., 2004. Mesh editing with poisson-based gradient field manipulation. ACM Trans. on Graphics, 23(3):644-651.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE