Abstract
The aim of this research is to study and investigate crest points extraction technique from 3D volumetric data. Our goal is to propose an enhancement to extremal planes estimation technique for crest lines extraction and to test the method for medical purpose. Differential geometry approach is applied to the 3D surfaces based on 3rd order derivatives computation of principal curvatures and principal directions to estimate extremal planes for crest lines extraction. Gaussian smoothing is applied into the proposed method with various scales to filter the noise from volumetric data. These techniques are incorporated into marching tetrahedra algorithm to trace and extract the crest lines. We present and evaluate the results of the extracted crest lines using 3D visualization with several sample volumetric data.
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References
Pennec, X., Ayache, N., Thirion, J.P.: Landmark-based registration using features identified through differential geometry. In: Handbook of Medical Imaging, pp. 499–513 (2000)
Thirion, J.P.: The extremal mesh and the understanding of 3D surfaces. International Journal of Computer Vision 19, 115–128 (1996)
Stylianou, G., Farin, G.: Crest lines extraction from 3D triangulated meshes. Hierarchical and Geometrical Methods in Scientific Visualization, 269–281 (2003)
Thirion, J.P., Gourdon, A.: The 3D marching lines algorithm and its application to crest line extraction, Technical Report, INRIA Sophia-Antipolis, France (1992)
Monga, O., Lengagne, R., Deriche, R.: Crest lines extraction in volume 3D medical images: A multi-scale approach. In: Proc. of the 12th IAPR International Conference on Computer Vision & Image Processing, Jerusalem, Israel, pp. 553–555 (1994)
Treece, G.M., Prager, R.W., Gee, A.H.: Regularised marching tetrahedra: Improved iso-surface extraction. Cambridge University Engineering Department Technical Report, Cambridge University, Cambridge, UK
Gueziec, A., Hummel, R.: Exploiting triangulated surface extraction using tetrahedra decomposition. IEEE Transactions on Visualization and Computer Graphics 1, 328–342 (1995)
Stylianou, G., Farin, G.: Crest lines for surface segmentation and flattening. IEEE Transactions on Visualization and Computer Graphics 10, 536–544 (2004)
Yoshizawa, S., Belyaev, A., Seidel, H.P.: Fast and robust detection of crest lines on meshes. In: ACM Symposium on Solid Modelling and Applications, Cambridge, Massachusetts, USA, pp. 227–232 (2005)
Yoshizawa, S., Belyaev, A., Yokota, H., Seidel, H.P.: Fast and faithful geometric algorithm for detecting crest lines on meshes. In: Proceedings - Pacific Conference on Computer Graphics and Applications, Maui, Hawaii, pp. 231–237 (2007)
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Choo Sheong, D., Belaton, B. (2009). Estimating Extremal Planes to Extract Crest Lines from Volumetric Data. In: Badioze Zaman, H., Robinson, P., Petrou, M., Olivier, P., Schröder, H., Shih, T.K. (eds) Visual Informatics: Bridging Research and Practice. IVIC 2009. Lecture Notes in Computer Science, vol 5857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05036-7_71
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DOI: https://doi.org/10.1007/978-3-642-05036-7_71
Publisher Name: Springer, Berlin, Heidelberg
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