β Scribed by M. Ann Piech
No coin nor oath required. For personal study only.
have recently published an interesting scale-space analysis of pulse and staircase edge models, both one-and two-dimensional. In this note we comment upon Shah, Sood, and Jain's analysis of the two-dimensional step edge, pulse edge, and staircase edge models. Their derivation of the scale-space images and fingerprints can be simplified by taking advantage of a key geometric feature of Ganssian filters, namely, rotational invariance. The fingerprints of these three models can easily and directly be geometrically deduced from the fingerprints of the one-dimensional models. The fingerprints should be viewed as cylinders over a base curve which is precisely the fingerprint of the corresponding one-dimensional edge model. In this way fingerprints of the two-dimensional models can be immediately visualized from their one-dimensional counterparts. We also demonstrate that the range of influence of one edge upon another edge located a distance d away begins at a scale of d/3.
π SIMILAR VOLUMES
A new computational model of the edge plasma in axisymmetric magnetic fusion devices has been developed based on finite element methods. Braginskii-type plasma fluid equations and a oneenergy-group neutral particle diffusion equation are spatially discretized on a two-dimensional domain using Galerk