Feature extraction is a significant procedure for target recognition and classification of remotely sensed images. In this paper, the previous feature extraction methods were considered to consist of three layers: the abstract layer, the methodology layer and the feature layer. A new feature extraction approach based on the shape adaptive neighborhood (SAN) in the abstract layer was proposed. F...

Recent results in geometry processing have shown that shape segmentation, comparison, and analysis can be successfully addressed through the spectral properties of the Laplace–Beltrami operator, which is involved in the harmonic equation, the Laplacian eigenproblem, the heat diffusion equation, and the definition of spectral distances, such as the bi-harmonic, commute time, and diffusion distan...

A multiresolution image representation is presented in which iterative morphological filters of many scales hut identical shape serve as basis functions. Structural pattern decomposition is achieved by subtracting successive layers in the multiresolution representation. The representation differs from established techniques in that the code elements have a well defined location and size. The re...

Among the diseases affecting the commercial citrus production, the citrus black spot (CBS) is considered to cause substantial losses. The analyses of particles in suspension in the orchards and collected into a disc have been applied as a preventive action trying to identify the presence of fungus spores before symptom appearance. In this paper, we show the results of several shape analysis met...

A fast algorithm for calculating the simplicial depth of a single parameter value of a polynomial regression model and for calculating the maximum simplicial depth within an affine subspace of the parameter space or a polyhedron is presented. Since the maximum simplicial depth estimator is not unique, l1 and l2 methods are used to make the estimator unique. This estimator is compared with other...

Mathematical Morphology is a relatively new approach that is being applied to image processing and analysis. The approach of Mathematical Morphology is one that is based on shape. Hence the morphological tools are well suited to the problems of shape analysis. The concept of shape is quite abstract and it is rather diicult to quantify shape. In this paper, a simple quantitative shape descriptor...

Skeletons are often used as a framework for part-based shape analysis. This paper describes some useful strategies that can be employed to improve the performance of such shape matching algorithms. Four key strategies are proposed. The first is to incorporate ligature-sensitive information into the part decomposition and shape matching processes. The second is to treat part decomposition as a d...

Road sign detection is an important for regulating the traffic. In this paper oversegmentation technique is used for the detection and recognition of a road sign with the integration of shape analysis. The main focus is on the implementation and efficiency aspect of this technique. There is a detailed analysis of oversegmentation has been shown. This proposed algorithm can be used as a part of ...

Chirality plays an important role in physics, chemistry, biology, and other fields. It describes an essential symmetry in structure. However, chirality invariants are usually complicated in expression or difficult to evaluate. In this paper, we present five general three-dimensional chirality invariants based on the generating functions which are called ShapeDNA. And the five chiral invariants ...

We propose a Riemannian framework for shape analysis of annotated curves, curves that have certain attributes defined along them, in addition to their geometries. These attributes may be in form of vector-valued functions, discrete landmarks, or symbolic labels, and provide auxiliary information along the curves. The resulting shape analysis, that is comparing, matching, and deforming, is natur...