Abstract
In this paper, we propose a novel mesh deformation approach via manipulating differential properties non-uniformly. Guided by user-specified material properties, our method can deform the surface mesh in a non-uniform way while previous deformation techniques are mainly designed for uniform materials. The non-uniform deformation is achieved by material-dependent gradient field manipulation and Poisson-based reconstruction. Comparing with previous material-oblivious deformation techniques, our method supplies finer control of the deformation process and can generate more realistic results. We propose a novel detail representation that transforms geometric details between successive surface levels as a combination of dihedral angles and barycentric coordinates. This detail representation is similarity-invariant and fully compatible with material properties. Based on these two methods, we implement a multiresolution deformation tool, which allows the user to edit a mesh inside a hierarchy in a material-aware manner. We demonstrate the effectiveness and robustness of our methods by several examples with real-world data.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Zorin, D., Schröder, P., Sweldens, W.: Interactive multiresolution mesh editing. In: Proceedings of ACM SIGGRAPH 1997, pp. 259–268. ACM Press, New York (1997)
Kobbelt, L., Campagna, S., Vorsatz, J., Seidel, H.P.: Interactive multi-resolution modeling on arbitrary meshes. In: Proceedings of ACM SIGGRAPH 1998, pp. 105–114. ACM Press, New York (1998)
Guskov, I., Sweldens, W., Schröder, P.: Multiresolution signal processing for meshes. In: Proceedings of ACM SIGGRAPH 1999, pp. 325–334. ACM Press, New York (1999)
Botsch, M., Kobbelt, L.: Multiresolution surface representation based on displacement volumes. Computer Graphics Forum (Eurographics 2003) 22(3), 483–491 (2003)
Sorkine, O.: Laplacian mesh processing. In: Eurographics 2005 STAR report (2005)
Yu, Y., Zhou, K., Xu, D., Shi, X., Bao, H., Guo, B., Shum, H.Y.: Mesh editing with poisson-based gradient field manipulation. ACM Trans. Graph. 23(3), 644–651 (2004)
Zayer, R., Rössl, C., Karni, Z., Seidel, H.P.: Harmonic guidance for surface deformation. Comput. Graph. Forum 24(3), 601–609 (2005)
Lipman, Y., Sorkine, O., Levin, D., Cohen-Or, D.: Linear rotation-invariant coordinates for meshes. ACM Trans. Graph. 24(3), 479–487 (2005)
Sorkine, O., Cohen-Or, D., Lipman, Y., Alexa, M., Rössl, C., Seidel, H.P.: Laplacian surface editing. In: Symposium on Geometry Processing, pp. 179–188 (2004)
Zhou, K., Huang, J., Snyder, J., Liu, X., Bao, H., Guo, B., Shum, H.Y.: Large mesh deformation using the volumetric graph laplacian. ACM Trans. Graph. 24(3), 496–503 (2005)
Botsch, M., Kobbelt, L.: An intuitive framework for real-time freeform modeling. ACM Trans. Graph. 23(3), 630–634 (2004)
Popa, T., Julius, D., Sheffer, A.: Material aware mesh deformations. In: Proceedings of ACM SIGGRAPH (2005), Posters
Eck, M., DeRose, T., Duchamp, T., Hoppe, H., Lounsbery, M., Stuetzle, W.: Multiresolution analysis of arbitrary meshes. In: Proceedings of ACM SIGGRAPH 1995. (1995) 173–182
Botsch, M., Kobbelt, L.: A remeshing approach to multiresolution modeling. In: Symposium on Geometry Processing, pp. 189–196 (2004)
Kobbelt, L., Bareuther, T., Seidel, H.P.: Multiresolution shape deformations for meshes with dynamic vertex connectivity. Comput. Graph. Forum 19(3) (2000)
Guskov, I., Vidimce, K., Sweldens, W., Schröder, P.: Normal meshes. In: Proceedings of ACM SIGGRAPH 2000, pp. 95–102 (2000)
Hoppe, H.: Progressive meshes. In: Proceedings of ACM SIGGRAPH 1996, pp. 99–108 (1996)
Desbrun, M., Meyer, M., Schröder, P., Barr, A.H.: Implicit fairing of irregular meshes using diffusion and curvature flow. In: Proceedings of ACM SIGGRAPH 1999, pp. 317–324 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Xu, D., Zhang, H., Bao, H. (2006). Non-uniform Differential Mesh Deformation. In: Nishita, T., Peng, Q., Seidel, HP. (eds) Advances in Computer Graphics. CGI 2006. Lecture Notes in Computer Science, vol 4035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11784203_5
Download citation
DOI: https://doi.org/10.1007/11784203_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35638-7
Online ISBN: 978-3-540-35639-4
eBook Packages: Computer ScienceComputer Science (R0)