Abstract
Given a triangular skin mesh \(\mathcal M(B)\) constructed by a set of spheres B = {b 1, b 2, ...}, we modify some selected spheres in B and generate a deformation process to a new skin surface mesh \(\mathcal M(B')\). All new skin surface meshes during the deformation are constructed by moving original surface points in \(\mathcal M(B)\), refining bad quality triangles and contracting short edges. Thus, the algorithm guarantees triangle quality and surface coordinate correspondence during the deformation process.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bänsch, E., Morin, P., Nochetto, R.H.: A parametric finite element method for fourth order geometric evolution equations. Journal of Computational Physics 222, 441–467 (2007)
Chen, C., Cheng, H.-L.: Superimposing Voronoi complexes for shape deformation. Int. J. Comput. Geometry Appl. (2006)
Cheng, H.-L., Dey, T.K., Edelsbrunner, H., Sullivan, J.: Dynamic skin triangulation. Discrete Comput. Geom. (2001)
Cheng, H.-L., Yan, K.: Mesh deformable smooth manifolds with surface correspondences. Mathematical Foundations of Computer Science (2010)
Creighton, T.E.: Proteins structures and molecular principles. Freeman, New York (1984)
Edelsbrunner, H.: Deformable smooth surface design. Discrete Comput. Geom., 87–115 (1999)
Edelsbrunner, H., Ungor, A.: Relaxed scheduling in dynamic skin triangulation. In: Japanese Conf. Comput. Geom. (2002)
Richards, F.M.: Areas, volumes, packing and protein structure. Annu. Rev. Biophys. Bioeng., 151–176 (1977)
CGAL (version 3.5.1), http://www.cgal.org
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yan, K., Cheng, HL. (2011). Local Modification of Skin Surface Mesh: Towards Free-Form Skin Surface Deformation. In: Akiyama, J., Bo, J., Kano, M., Tan, X. (eds) Computational Geometry, Graphs and Applications. CGGA 2010. Lecture Notes in Computer Science, vol 7033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24983-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-642-24983-9_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-24982-2
Online ISBN: 978-3-642-24983-9
eBook Packages: Computer ScienceComputer Science (R0)