Shape smoothing with feature preserving weighted filters
Authors: 
Leon Kos, Jože DuhovnikAuthors Info & Claims
Leon Kos, Jože DuhovnikAuthors Info & ClaimsPages 169 - 174
Abstract
Several techniques for arbitrary shape recovery from scanned data attempt to recognize and further regularize shape. For arbitrary shape, one can recognize several shape features which should be guided with global shape parameters. Smoothed curves and surfaces created with subdivision can visually improve recovery when overall smoothness is expected. Local features such as sharp edges are not preserved during smoothing. In this paper we show procedural approach to preserve such features while globally smoothing shape. Weighted filters are applied according to local shape variations. For flat and smooth areas, weighted mean face is dominant. Sharp features are detected with normal difference variation and dominated by nearest face normal. After suggested face normals are calculaced, vertices are moved by simplified version of nonlinear diffusion. Performance of proposed method is compared with other methods for mesh smoothing and edge creasing on "CAD" and "media" models.
References
[1]
Chen, C.-Y., and Cheng, K. Y. 2005. A sharpness dependent filter for mesh smoothing. Computer Aided Geometric Design. to appear.
[2]
Cignoni, P., Rocchini, C., and Scopigno, R. 1998. Metro: Measuring error on simplified surfaces. Computer Graphics Forum 17, 2, 167--174.
[3]
Clarenz, U., Rumpf, M., and Telea, A. 2004. Robust feature detection and local classification for surfaces based on moment analysis. IEEE Transactions on Visualization and Computer Graphics 10, 5, 516--524.
[4]
Desbrun, M., Meyer, M., Schröder, P., and Barr, A. H. 1999. Implicit fairing of irregular meshes using diffusion and curvature flow. In SIGGRAPH '99: Proceedings of the 26th annual conference on Computer graphics and interactive techniques, ACM Press/Addison-Wesley Publishing Co., New York, NY, USA, 317--324.
[5]
Fleishman, S., Cohen-Or, D., and Silva, C. T. 2005. Robust moving least-squares fitting with sharp features. ACM Trans. Graph. 24, 3, 544--552.
[6]
Gonzalez, R. C., and Woods, R. E. 2002. Digital Image Processing. Addison-Wesley Pub, ch. 3.
[7]
Guskov, I., and Wood, Z. 2001. Topological noise removal. In Proceedings of Graphics Interface 2001, B. Watson and J. W. Buchanan, Eds., 19--26.
[8]
Hildebrandt, K., and Polthier, K. 2006. Anisotropic filtering of non-linear surface features. Tech. Rep. ZIB-Report 04-25, Konrad-Zuse-Zentrum für Informationstechnik Berlin, D-15195 Berlin-Dahlem, Germany, 6.
[9]
Lee, A. W. F., Sweldens, W., Schröder, P., Cowsar, L., and Dobkin, D. 1998. MAPS: Multiresolution adaptive parameterization of surfaces. Computer Graphics 32, Annual Conference Series, 95--104.
[10]
Liu, X., Bao, H., Shum, H., and Peng, Q. 2002. A novel volume constrained smoothing method for meshes. Graphical Models 64, 169--182.
[11]
Meyer, M., Desbrun, M., Schrder, P., and Barr, A. 2003. Discrete differential-geometry operators for triangulated 2-manifolds. In Visualization and Mathematics III, Springer-Verlag, Heidelberg, H. C. Hege and K. Polthier, Eds., 35--57.
[12]
Ohtake, Y., Belyaev, A., and Bogaevski, I. 2001. Mesh regularization and adaptive smoothing. Computer-Aided Design 33, 11, 789--800.
[13]
Rusinkiewicz, S. 2004. Estimating curvatures and their derivatives on triangle meshes. In Symposium on 3D Data Processing, Visualization, and Transmission, IEEE Computer Society, Los Alamitos, CA, USA, 486--493.
[14]
Shen, Y., and Barner, K. 2004. Fuzzy vector median-based surface smoothing. IEEE Transactions on Visualization and Computer Graphics 10, 3 (5-6), 252--265.
[15]
Sun, Y., Page, D. L., Paik, J. K., Koschan, A., and Abidi, M. A. 2002. Triangle meshes-based edge detection and its application to surface segmentation and adaptive surface smoothing. In International Conference on Image Processing ICIP02, vol. III, 825--828.
[16]
Taubin, G. 1995. A signal processing approach to fair surface design. In SIGGRAPH Computer Graphics Proceedings, 351--358.
[17]
Taubin, G. 2000. Geometric signal processing on polygoonal meshes. In Eurographics '2000.
[18]
Taubin, G. 2001. IBM research report: Linear anisotropic mesh filtering. Tech. rep., IBM Research division, T. J. Watson Research Center, Yorktown heights, N.Y., 10.
[19]
Yagou, H., Ohtake, Y., and Belyaev, A. 2002. Mesh smoothing via mean and median filtering applied to face normals. In Geometric Modeling and Processing, 124--131.
Index Terms
- Shape smoothing with feature preserving weighted filters
Recommendations
Parallel feature-preserving mesh smoothing
ICCSA'05: Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IVWe present a parallel approach for optimizing surface meshes by redistributing vertices on a feature-aware higher-order reconstruction of a triangulated surface. Our method is based on a novel extension of the fundamental quadric, called the medial ...
The Use of Three- and Four-Dimensional Surface Harmonics for Rigid and Nonrigid Shape Recovery and Representation
The use of spherical harmonics for rigid and nonrigid shape representation is well known. This paper extends the method to surface harmonics defined on domains other than the sphere and to four-dimensional spherical harmonics. These harmonics enable us ...
A simple and stable feature-preserving smoothing method for contours-based reconstructed meshes
GRAPHITE '06: Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast AsiaIn this paper, we develop a new feature preserving smoothing method for the irregular and coarse meshes reconstructed from 2D contours. To make the feature detecting robust, a new detecting algorithm using the continuity among adjacent contours is ...
Comments
Information & Contributors
Information
Published In
April 2007
242 pages
Copyright © 2007 ACM.
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]
Sponsors
- Comenius University: Comenius University
In-Cooperation
- SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
- EUROGRAPHICS: The European Association for Computer Graphics
Publisher
Association for Computing Machinery
New York, NY, United States
Publication History
Published: 26 April 2007
Check for updates
Author Tags
Qualifiers
- Research-article
Conference
SCCG07
Sponsor:
- Comenius University
Acceptance Rates
Overall Acceptance Rate 42 of 81 submissions, 52%
Contributors
Other Metrics
Bibliometrics & Citations
Bibliometrics
Article Metrics
- 0Total Citations
- 31Total Downloads
- Downloads (Last 12 months)0
- Downloads (Last 6 weeks)0
Reflects downloads up to 16 Oct 2024
Other Metrics
Citations
View Options
Get Access
Login options
Check if you have access through your login credentials or your institution to get full access on this article.
Sign in