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 …

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 …

Curve-skeletons are thinned 1D representations of 3D objects useful for many visualization
tasks including virtual navigation, reduced-model formulation, visualization improvement …

Visualization and quantitative analysis of vessel data is an important preprocessing step in
diagnosis of vascular diseases, monitoring, surgery planning, blood flow simulation …

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 …

Medial Axis Transform is sometimes used as an intermediate representation in algorithms
for meshing or recognition of shapes from digitized data. This raises the question whether …

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 …

Cardiovascular disease is the main cause of death in Western world and Japan. In
particular, atherosclerosis has the greatest mortality and morbidity among vascular …

Shape decomposition and skeletonization share many common properties and applications.
However, they are generally treated as independent computations. In this paper, we …

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 …