Abstract
Modelling and reconstruction of tubular objects from graph representations is frequently needed in medical visualization. The constructed geometrical models need to be consistent and compact at the same time for interactive applications. In this paper we present a new method for generating compact topologically consistent 2-manifold surfaces of branching tubular objects. The proposed two-stage approach based on deformable simplex-meshes can handle higher order furcations.
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
Beichel R, Pock T, Janko Ch, et al. Liver segment approximation in CT data for surgical resection planning. In: Fitzpatrick JMichael, Sonka Milan, editors. In SPIE Medical Imaging '04. vol. 5370. San Diego: SPIE Press; 2004. p. 1435–1446.
Bornik A, Beichel R, Reitinger B, et al. Computer Aided Liver Surgery Planning: An Augmented Reality Approach. In: Jr RL Galloway, editor. In SPIE Medical Imaging '04. vol. 5029. SPIE Press; 2003. p. 395–406.
Lorensen WE, Cline HE. Marching cubes: A high resolution 3D surface construction algorithm. Computer Graphics 1987;21(4):163–169.
Lewiner T, Lopes H, Vieira AW, Tavares G. Efficient Implementation of Marching Cubes: Cases with Topological Guarantees. Journal of Graphics Tools 2003;8(2):1–15.
Delingette H. General Object Reconstruction Based on Simplex Meshes. International Journal on Computer Vision 1999;32(2):111–146.
Oliva JM, Perrin M, Coquillart S. 3D Reconstruction of Complex Polyhedral Shapes from Contours using a Simplified Generalized Voronoi Diagram. Computer Graphics Forum 1996;15(3):397–408.
Meyers D, Skinner S, Sloan K. Surfaces from contours. ACM Trans Graph 1992;11(3):228–258.
Lluch J, Vivó R, Monserrat C. Modelling tree structures using a single polygonal mesh. Graphical Models 2004;66(2):89–101.
Felkel P, Wegenkittl R, Bühler K. Surface Models of Tube Trees. In: Proceeding of the Computer Graphics International CGI'04; 2004.
Hahn HK, Preim B, Selle D, Peitgen HO. Visualization and interaction techniques for the exploration of vascular structures. In: Proceedings of the conference on Visualization '01. IEEE Computer Society; 2001. p. 395–402.
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
Bornik, A., Reitinger, B., Beichel, R. (2005). Simplex-Mesh Based Surface Reconstruction and Representation of Tubular Structures. 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_30
Download citation
DOI: https://doi.org/10.1007/3-540-26431-0_30
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)