Stability and computation of medial axes-a state-of-the-art report
The medial axis of a geometric shape captures its connectivity. In spite of its inherent
instability, it has found applications in a number of areas that deal with shapes. In this survey …
instability, it has found applications in a number of areas that deal with shapes. In this survey …
Geometric methods for vessel visualization and quantification—a survey
Visualization and quantitative analysis of vessel data is an important preprocessing step in
diagnosis of vascular diseases, monitoring, surgery planning, blood flow simulation …
diagnosis of vascular diseases, monitoring, surgery planning, blood flow simulation …
Curve-skeleton applications
ND Cornea, D Silver, P Min - VIS 05. IEEE Visualization, 2005., 2005 - ieeexplore.ieee.org
Curve-skeletons are a 1D subset of the medial surface of a 3D object and are useful for
many visualization tasks including virtual navigation, reduced-model formulation …
many visualization tasks including virtual navigation, reduced-model formulation …
3d skeletons: A state‐of‐the‐art report
A Tagliasacchi, T Delame, M Spagnuolo… - Computer Graphics …, 2016 - Wiley Online Library
Given a shape, a skeleton is a thin centered structure which jointly describes the topology
and the geometry of the shape. Skeletons provide an alternative to classical boundary or …
and the geometry of the shape. Skeletons provide an alternative to classical boundary or …
Approximate medial axis as a voronoi subcomplex
TK Dey, W Zhao - Proceedings of the seventh ACM symposium on Solid …, 2002 - dl.acm.org
Medial axis as a compact representation of shapes has evolved as an essential geometric
structure in a number of applications involving 3D geometric shapes. Since exact …
structure in a number of applications involving 3D geometric shapes. Since exact …
Approximating the medial axis from the Voronoi diagram with a convergence guarantee
TK Dey, W Zhao - Algorithmica, 2004 - Springer
The medial axis of a surface in 3D is the closure of all points that have two or more closest
points on the surface. It is an essential geometric structure in a number of applications …
points on the surface. It is an essential geometric structure in a number of applications …
[PDF][PDF] Patient-specific modeling of geometry and blood flow in large arteries
L Antiga - Politecnico di Milano, 2002 - lantiga.github.io
Cardiovascular disease is the main cause of death in Western world and Japan. In
particular, atherosclerosis has the greatest mortality and morbidity among vascular …
particular, atherosclerosis has the greatest mortality and morbidity among vascular …
Simultaneous shape decomposition and skeletonization
Shape decomposition and skeletonization share many common properties and applications.
However, they are generally treated as independent computations. In this paper, we …
However, they are generally treated as independent computations. In this paper, we …
Discrete bisector function and Euclidean skeleton in 2D and 3D
M Couprie, D Coeurjolly, R Zrour - Image and Vision Computing, 2007 - Elsevier
We propose a new definition and an algorithm for the discrete bisector function, which is an
important tool for analyzing and filtering Euclidean skeletons. We also introduce a new …
important tool for analyzing and filtering Euclidean skeletons. We also introduce a new …
The delta medial axis: a fast and robust algorithm for filtered skeleton extraction
R Marie, O Labbani-Igbida, EM Mouaddib - Pattern Recognition, 2016 - Elsevier
In this paper, we present the Delta Medial Axis (DMA), a quasi-linear algorithmic solution
addressing several of the main concerns of discrete medial axes (MA) computation. First, its …
addressing several of the main concerns of discrete medial axes (MA) computation. First, its …