Discrete 2D and 3D euclidean medial axis in higher resolution

Collapses and Watersheds in Pseudomanifolds of Arbitrary Dimension

“…In this perspective, it is for instance interesting to consider at step ii) a stack H which behaves like a distance function to the object X (obtained e.g. by considering the simplicial closure of a Euclidean distance maps on complexes [52]). Indeed, in this case the obtained collapse is localized "as far as possible" from X that is, in other words, it is "centered" in X.…”

3D block-based medial axis transform and chessboard distance transform based on dominance

“…The MAT has been studied extensively so far [10,12,19,23,28,34,36,56]. There are many medial axis (MA) definitions and computations such as (1) Locus of points equidistant from contour by the symmetry set (SS) [7] and bisectors [49], (2) Grass-fire model [8,40], (3) Locus of centers of maximal circles [54,55], (4) Local maxima in distance transform [2,32], (5) Thinning [31,44,47,48,60], and (6) The shock graph [29] defined as special points of the flow along the MA.…”

Optimization of the bwmorph Function in the MATLAB Image Processing Toolbox for Binary Skeleton Computation

“…Though not algorithmically optimal, the method does generate acceptable skeletons which is good for direct use or as a nice start point for extracting finer skeletons. Other skeleton frameworks and computation approaches also exist, such as in [6][7][8][9].…”