Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Simulating the Grassfire Transform Using an Active Contour Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tracking Deformable Objects in the Plane Using an Active Contour Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic and Robust Computation of 3D Medial Models Incorporating Object Variability
International Journal of Computer Vision - Special Issue on Research at the University of North Carolina Medical Image Display Analysis Group (MIDAG)
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Incorporating 3D virtual anatomy into the medical curriculum
Communications of the ACM - Medical image modeling
The Medial Scaffold of 3D Unorganized Point Clouds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-scale visual analysis of trauma injury
Information Visualization - Special issue on visual analysis of human dynamics
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Defining and computing curve-skeletons with medial geodesic function
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Medial Representations: Mathematics, Algorithms and Applications
Medial Representations: Mathematics, Algorithms and Applications
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curve skeleton extraction from incomplete point cloud
ACM SIGGRAPH 2009 papers
A Minimal Contouring Approach to the Computation of the Reeb Graph
IEEE Transactions on Visualization and Computer Graphics
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
The medial scaffold for three-dimensional shape modeling and recognition
The medial scaffold for three-dimensional shape modeling and recognition
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We present the latest developments in modeling 3D biomedical data via the Medial Scaffold (MS), a 3D acyclic oriented graph representation of the Medial Axis (MA) [LK07, SP08]. The MS (and associated 3DMA) can be computed as the result of the singularities of a geometric wave propagation simulation. We consider here some of the potential applications of this shape model in the realm of biomedical imaging. We can reconstruct complex object surfaces and make explicit the coarse-scale structures, which are ready-to-use in a number of practical applications, including: morphological measurement for cortex or bone thickness, centerline extraction (curve skeleton) for tracheotomy or colonoscopy, surface partitioning for cortical or anatomical surface classification, as well as registration and matching of shapes of tumors or carpal bones. The MS permits to automatically and efficiently map an unorganised point cloud, i.e., simple 3D coordinates of point samples, to a coherent surface set and associated approximate MA. The derivedMS is used to further recover significant medium and large scale features, such as surface ridges and main axial symmetries. The radius field of the MS provides an intuitive definition for morphological measurements, while the graph structure made explicit by the MS is useful for shape registration and matching applications.