Summary
The aim of this paper is to introduce a 3D Profile Neighbourhood as an improvement factor in the dynamic surface reconstruction process. The application of this profile in the fitting process causes that the surface better reflects the shape enclosed in the unorganized point cloud. It is achieved due to the utilization of the probability distribution of the point cloud values in the area of each vertex in the evolving irregular polygonal mesh representing the surface. The improvements of the dynamic surface reconstruction method are described and the results are presented.
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References
Cohen, L.D.: On Active Contour Models and Balloons. Computer Vision, Graphics and Image Processing: Image Understanding 53, 211–218 (1991)
Cohen, L.D., Cohen, I.: Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images. IEEE Transactions on Patern and Machine Intelligence 15, 1131–1147 (1993)
Cootes, T.F., Taylor, C.J., Cooper, D.H., Graham, J.: Active Shape Models - Their Training and Application. Computer Vision and Image Understanding, 38–59 (1995)
Cootes, T.F., Taylor, C.J.: Data Driven Refinement of Active Shape Model Search. In: Proc. 7th British Machine Vision Conference (1996)
Cootes, T.F., Edwards, G., Taylor, C.J.: Comparing Active Shape Models with Active Appearance Models, pp. 173–182. BMVA Press (1999)
Delaunay, B.: Sur la sphere vide, Otdelenie Matematicheskikh i Estestvennykh Nauk, vol. 7 (1934)
Duan, Y., Qin, H.: 2.5D Active Contour for Surface Reconstruction. In: Proc. of 8th International Workshop on Vision. Modeling and Visualization, pp. 431–439 (2003)
Ganapathy, S., Dennehy, T.G.: A New General Triangulation Method for Planar Contours. In: Proc. of SIGGRAPH, pp. 69–75 (1978)
Holtzman-Gazit, M., Kimmel, R., Peled, N., Goldsher, D.: Segmentation of Thin Structures in Volumetric Mediacal Images. IEEE Transactions on Image Processing, 354–363 (2006)
Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active Contour Models. International Journal of Computer Vision 1 (1987)
Kim, D.K., Hwang, C.J.: Boundary Segmentation and Model Fitting Using Affine Active Surface Model. TENCON - Digital Signal Processing Applications, 26–29 (1996)
Li, B., Millington, S.A., Anderson, D.D., Acton, S.T.: Registration of Surfaces to 3D Images Using Rigid Body Surfaces. In: Fortieth Asilomar Conference on Signals, Systems and Computers, pp. 416–420 (2006)
Lorensen, W.E., Cline, H.E.: Marching Cubes: A high resolution 3D surface construction algorithm, Computer Graphics. In: SIGGRAPH, pp. 163–169 (1987)
Karolina, N.: Substitute Contours Method for Object Reconstruction from Parallel Contours. In: Proc. of 38th Annual Conference on Teaching and Learning through Gaming and Simulation, Nottingham, England, pp. 183–189 (2008)
Karolina, N.: 3D Object Reconstruction from Parallel Cross-Sections. In: Proc. of International Conference on Computer Visualization and Graphics. Lectures Notes of Computer Science. Springer, Heidelberg (2008) (in press)
Karolina, N.: Metoda tworzenia deformowalnych wielorozdzielczych powierzchni i ich interaktywna wizualizacja. PhD Thesis, The Silesian University of Technology, Gliwice, Poland (2008)
Karolina, N.: Constrained Dynamical Surface Reconstruction fron Unorganized Point Cloud. In: EUROCON 2009 (2009) (in review)
Karolina, N.: Surface Reconstruction from Unorganized Point Cloud Methodology. In: Mirage 2009 (2009) (in review)
Parker, J.R., Attia, E.N.: Object Reconstruction from Slices for Vision. In: Proc. of International Computer Graphics, pp. 58–64 (1999)
Slabaugh, G., Unal, G.: Active Polyhedron: Surface Evolution Theory Applied to Deformable Models. In: Computer Vision and Pattern Recognition, pp. 84–91 (2005)
Smith, L.I.: A tutorial on Principal Component Analysis (2002)
Stegmann, M.B., Gomez, D.: A Brief Introduction to Statistical Shape Analysis. Informatics and Mathematical Modelling, Technical University of Denmark, 15 (2002)
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Nurzyńska, K. (2009). Dynamic Surface Reconstruction Method from Unorganized Point Cloud. In: Kurzynski, M., Wozniak, M. (eds) Computer Recognition Systems 3. Advances in Intelligent and Soft Computing, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93905-4_3
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DOI: https://doi.org/10.1007/978-3-540-93905-4_3
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