Abstract
In this work we introduce a new method for representing and evolving snakes that are constrained to lie on a prescribed surface (triangle mesh). The new representation allows to automatically adapt the snake resolution to the surface tesselation and does not need any (unstable) back-projection operations. Furthermore, it enables efficient and robust collision detection and gives us complete control on the topological behaviour of the snakes, i.e. snakes may split or merge depending on the intended task. Possible applications include enhanced mesh scissoring operations and the detection of constrictions of a surface.
This is a preview of subscription content, log in via an institution to check access.
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
Hetroy F, Attali D. From a closed piecewise geodesic to a constriction on a closed polyhedral surface. In: Pacific Graphics Proceedings; 2003. p. 394–398.
Milroy MJ, Bradley C, Vickers GW. Segmentation of a wrap around model using an active contour. Computer Aided Design 1997;29(4):299–320.
Lee H, Kim L, Meyer M, Desbrun M. Meshes on Fire. In: Eurographics Workshop on Computer Animation and Simulation; 2001. p. 75–84.
Lee Y, Lee S. Geometric snakes for triangular meshes. Computer Graphics Forum 2002;21(3):229–238.
Lee Y, Lee S, Shamir A, Cohen-Or D, Seidel HP. Intelligent mesh scissoring using 3d snakes. In: Pacific Graphics Proceedings; 2004. p. 279–287.
Bischoff S, Kobbelt L. Parameterization-free active contour models. The Visual Computer 2004;20:217–228.
Lee AWF, Sweldens W, Schröder P, Cowsar L, Dobkin D. MAPS: Multiresolution Adaptive Parameterization of Surfaces. In: SIGGRAPH 98; 1998. p. 95–104.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bischoff, S., Weyand, T., Kobbelt, L. (2005). Snakes on Triangle Meshes. In: Meinzer, HP., Handels, H., Horsch, A., Tolxdorff, T. (eds) Bildverarbeitung für die Medizin 2005. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26431-0_43
Download citation
DOI: https://doi.org/10.1007/3-540-26431-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25052-4
Online ISBN: 978-3-540-26431-6
eBook Packages: Computer Science and Engineering (German Language)