The extremal mesh and the understanding of 3D surfaces
International Journal of Computer Vision
Landmark-based registration using features identified through differential geometry
Handbook of medical imaging
Exploiting Triangulated Surface Extraction Using Tetrahedral Decomposition
IEEE Transactions on Visualization and Computer Graphics
Crest Lines for Surface Segmentation and Flattening
IEEE Transactions on Visualization and Computer Graphics
Fast and robust detection of crest lines on meshes
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Fast and Faithful Geometric Algorithm for Detecting Crest Lines on Meshes
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
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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.