Tree-like data structures for effective recognition of 2-D solids

Metric classifier using multilevel network of templates

“…At the given value of L, the problem of classifier training on the sample B is reduced to constructing a set of spheres (5), which provides the minimum value of the training error rate ε B at the level of maximum resolution. The solution of this problem is constructed on TSCs of training set clusters using the spheres.…”

“…Let us construct collections of spheres of the form (3) taken in clusters of the training set (4): (5) such that the spheres of the lth level are projections of the corresponding spheres of the Lth level and 1 ≤ ≤ m i . Then, in the space of representations of the form (1), the set of the sphere centers (6) in (5) forms an L level network of templates, in which the lth level is given by the set (7) whereas the radii of the spheres of the lth level form the set (8) Using the dissimilarity measure (2) and the sets (7) and (8), we introduce a similarity measure of the lth order between an object A ∈ A and a subset of tem plates in (6). At any level l = 0, …, L, this measure is defined by the sum In this case, a decision is made about belonging the object A to the class A k .…”

“…As a rule, the object repre sentations used in recognition tasks must be invariant with respect to the rotation, translation, scaling, and level of brightness of the images. For a wide class of 2D grayscale objects, in [6], a method was proposed to construct approximately invariant multiresolution object representations based on a generalization of the tree like shape descriptions described in [5]. The class of the admissible objects includes grayscale patterns given by simply or multiply connected 2D solid bodies with a uniquely identifiable intrinsic coordinate sys tem.…”

“…The structure of these descriptions is convenient for reducing calcula tions in procedures for processing hierarchically struc tured data; moreover, it enables one to apply fast algo rithms for analysis of 2D geometric shapes. Also, sim ilar morphological shape descriptions yield skeletons [4] and treelike shape representations by the collec tions of elliptic primitives [5].…”

Ureteral Stents and Foley Catheters-Associated Urinary Tract Infections: The Role of Coatings and Materials in Infection Prevention

“…These tethered peptides were capable of inhibiting bacterial growth both in vitro and in vivo using rat models [ 47 ]. During in vivo models, not only did the peptides show antibacterial effect, they also appeared to possess wound-healing effects [ 50 ]. Indeed, despite the promising results seen with AMPs, there are still caveats associated with the coatings.…”