Chamfer metrics, the medial axis and mathematical morphology

Computing 3D Medial Axis for Chamfer Distances

Medial Axis LUT Computation for Chamfer Norms Using H-Polytopes

Chamfer distances are discrete distances based on the propagation of local distances, or weights defined in a mask. The medial axis, i.e. the centers of the maximal disks (disks which are not contained in any other disk), is a powerful tool for shape representation and analysis. The extraction of maximal disks is performed in the general case with comparison tests involving look-up tables repre...

Medial axis lookup table and test neighborhood computation for 3D chamfer norms

Chamfer distances are discrete distances based on the propagation of local distances, or weights, defined in a mask. The medial axis, i.e. the centers of maximal balls (balls which are not contained in any other ball), is a powerful tool for shape representation and analysis. The extraction of maximal disks is performed in the general case by testing the inclusion of a ball in a local neighborh...

Appearance Radii in Medial Axis Test Mask for Small Planar Chamfer Norms

The test mask TM is the minimum neighbourhood sufficient to extract the medial axis of any discrete shape, for a given chamfer distance mask M. We propose an arithmetical framework to study TM in the case of chamfer norms. We characterize TM for 3×3 and 5×5 chamfer norm masks, and we give an algorithm to compute the appearance radius of the vector (2, 1) in TM.

Groupwise Medial Axis Transform

Medial Axis Transform (MAT) is one of the promising tools used for the shape recognition and it poses the advantages like space and complexity reduction, ease of processing for shape recognition. MAT representation of shapes uses object centred co-ordinate system that represents bending, elongation and thickness. But MAT of the objects is very much sensitive to small perturbations of its bounda...