Abstract
In this paper, we present an improved Laplacian smoothing technique for 3D mesh denoising. This method filters directly the vertices by updating their positions. Laplacian smoothing process is simple to implement and fast, but it tends to produce shrinking and oversmoothing effects. To remedy this problem, firstly, we introduce a kernel function in the Laplacian expression. Then, we propose to use a linear combination of denoised instances. This combination aims to reduce the number of iterations of the desired method by coupling it with a technique that leads to oversmoothing. Experiments are conducted on synthetic triangular meshes corrupted by Gaussian noise. Results show that we outperform some existing methods in terms of objective and visual quality.
Chapter PDF
Similar content being viewed by others
References
Zhang, Y., Ben Hamza, A.: Vertex-Based Diffusion for 3-D Mesh Denoising. IEEE Transactions on Image Processing 16(4) (April 2007)
El Hassouni, M., Aboutajdine, D.: 3D-Mesh denoising using an improved vertex based anisotropic diffusion. International Journal of Computer Science and Information Security (IJCSIS)Â 8(2) (2010)
Field, D.: Laplacian smoothing and Delauney triangulations. Comm. App. Num. Meth. 4, 709–712 (1988)
Taubin, G.: Linear Anisotropic Mesh Filtering. Res. Rep. RC2213 IBM (2001)
Karni, Z., Gotsman, C.: Spectral compression of mesh geometry. In: Proc. SIGGRAPH, pp. 279–286 (2000)
Mashiko, T., Yagou, H., Wei, D., Ding, Y., Wu, G.: 3D Triangle Mesh Smoothing via Adaptive MMSE Filtering. In: Proceedings of the Fourth International Conference on Computer and Information Technology (CIT 2004), pp. 734–740 (2004)
Perona, P., Malik, J.: Scale space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 12(7), 629–639 (1990)
Taubin, G.: A signal processing approach to fair surface design. In: Proc. SIGGRAPH, pp. 351–358 (1995)
Desbrun, M., Meyer, M., Schroder, P., Barr, A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proc. SIGGRAPH, pp. 317–324 (1999)
http://www.ceremade.dauphine.fr/~peyre/numerical-tour/tours/meshproc_3_denoising/
Desbrun, M., Meyer, M., Schröder, P., Barr, A.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proc. SIGGRAPH, pp. 317–324 (1999)
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
Badri, H., El Hassouni, M., Aboutajdine, D. (2012). Kernel-Based Laplacian Smoothing Method for 3D Mesh Denoising. In: Elmoataz, A., Mammass, D., Lezoray, O., Nouboud, F., Aboutajdine, D. (eds) Image and Signal Processing. ICISP 2012. Lecture Notes in Computer Science, vol 7340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31254-0_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-31254-0_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31253-3
Online ISBN: 978-3-642-31254-0
eBook Packages: Computer ScienceComputer Science (R0)