Computer Vision, Graphics, and Image Processing
International Journal of Computer Vision
Accurate and efficient unions of balls
Proceedings of the sixteenth annual symposium on Computational geometry
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Proceedings of the sixth ACM symposium on Solid modeling and applications
Registration and Analysis of Vascular Images
International Journal of Computer Vision - Special Issue on Research at the University of North Carolina Medical Image Display Analysis Group (MIDAG)
Meshing Skin Surfaces with Certified Topology
CAD-CG '05 Proceedings of the Ninth International Conference on Computer Aided Design and Computer Graphics
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Reconstruction with Voronoi centered radial basis functions
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Skeleton extraction by mesh contraction
ACM SIGGRAPH 2008 papers
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
Gesture-based design of 2D contours: an alternative to sketching?
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Medial Spheres for Shape Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Medial surfaces are well-known and interesting surface skeletons. As such, they can describe the topology and the geometry of a 3D closed object. The link between an object and its medial surface is also intuitively understood by people. We want to exploit such skeletons to use them in applications like shape creation and shape deformation. For this purpose, we need to define medial surfaces as Shape Representation Models (SRMs). One of the very first task of a SRM is to offer a visualization of the shape it describes. However, achieving this with a medial surface remains a challenging problem. In this paper, we propose a method to build a mesh that approximates an object only described by a medial surface. To do so, we use a volumetric approach based on the construction of an octree. Then, we mesh the boundary of that octree to get a coarse approximation of the object. Finally, we refine this mesh using an original migration algorithm. Quantitative and qualitative studies, on objects coming from digital modeling and laser scans, shows the efficiency of our method in providing high quality surfaces with a reasonable computational complexity. © 2012 Wiley Periodicals, Inc.