Wyniki wyszukiwania - BazTech

1

A comprehensive study of clustering a class of 2D shapes

Kaliszewska Agnieszka, Syga Monika

International Journal of Applied Mathematics and Computer Science

|

2022

|

Vol. 32, no. 1

95--109

EN

The paper is concerned with clustering with respect to the shape and size of 2D contours that are boundaries of cross-sections of 3D objects of revolution. We propose a number of similarity measures based on combined disparate Procrustes analysis (PA) and dynamic time warping (DTW) distances. A motivation and the main application for this study comes from archaeology. The computational experiments performed refer to the clustering of archaeological pottery.

2

On representative functions method for clustering of 2D contours with application to pottery fragments typology

Kaliszewska A., Syga M.

Control and Cybernetics

|

2018

|

Vol. 47, no. 1

85--108

EN

We investigate clustering of 2D contours which represent cross-sections of rotationally symmetric objects. We propose modiﬁcations of the existing representations of digitized 2D contours and similarity measures. In particular, we represent each of the investigated objects as a single number and two functions and we use the DTW distance to measure their similarity. We apply our method to clustering of pottery fragments.

3

Application of the Moment Shape Representations to the General Shape Analysis

Frejlichowski D.

Image Processing & Communications

|

2016

|

Vol. 21, no. 4

31--38

EN

The General Shape Analysis (GSA) is a task similar to the shape recognition and retrieval. However, in GSA an object usually does not belong to a template class, but can only be similar to some of them. Moreover, the number of applied templates is limited. Usually, ten most general shapes are used. Hence, the GSA consists in searching for the most universal information about them. This is useful when some general information has to be concluded, e.g. in coarse classification. In this paper the result of the application of three shape descriptors based on the moment theory to the GSA is presented. For this purpose the Moment Invariants, Contour Sequence Moments, and Zernike Moments were selected.

4

Application of Hurwitz – Radon matrices in shape representation

Jakóbczak D.

Applied Computer Science

|

2010

|

Vol. 6, no 1

63--74

EN

Computer vision needs suitable methods of shape representation and contour reconstruction. One of them, invented by the author and called method of Hurwitz-Radon Matrices (MHR), can be used in representation and reconstruction of shapes of the objects in the plane. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. Shape is represented by the set of nodes. It is shown how to create the orthogonal and discrete OHR operator and how to use it in a process of shape representation and reconstruction. MHR method is interpolating the curve point by point without using any formula or function.

5

Efficient object description and recognition based on shape signature

Florek A., Piascik T.

Machine Graphics and Vision

|

2006

|

Vol. 15, No. 3/4

373-380

EN

A simple and efficient approach to recognition and classification of planar shapes is proposed. This approach is based on comparison of areas of dynamic adapted centroid signatures. The usefulness of our approach for assessment of the similarity equally of convex and non-convex objects and objects containing openings is shown.