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Application of the curvature scale space transform to the representation of three-dimensional models

Frejlichowski D.

Image Processing & Communications

2013

Vol. 18, no. 1

23--29

In this paper an algorithm for the representation of 3D models is described and experimentally evaluated. Three-dimensional objects are becoming very popular recently and they are processed in various ways - analysed, retrieved, recognised, and so on. Moreover, they are employed in various aplications, such as virtual reality, entertainment, Internet, Computer Aided Design, or even in biometrics or medical imaging. That is why the development of appropriate algorithms for the representation of 3D objects is so important recently. These algorithms - so called 3D shape descriptors - are assumed to be invariant to particular transformations and deformations. One of the possible approaches is based on the projections of a 3D object into planar shapes and representation of them using a 2D shape descriptor. An algorithm realising this idea is described in this paper. Its first stage is based on the rendering of 20 2D projections, from various points of view. Later, the obtained projections are stored in a form of bitmaps and the Curvature Scale Space algorithm is applied for the description of the planar shapes extracted from them. The proposed approach is experimentally compared with several other 3D shape representation methods.

Application of the Curvature Scale Space Descriptor to the Problem of General Shape Analysis

Frejlichowski D.

Przegląd Elektrotechniczny

2012

R. 88, nr 10b

209-212

In the paper the problem of General Shape Analysis (GSA) is investigated. It is similar to the recognition and retrieval of shapes. However, the analysed shape does not have to belong to any of the template classes. It is only similar to some of them. It may be said that the most general information about a shape is here concluded, namely how round, triangular, elliptical, etc. it is. This approach can be useful when an application uses only few general base classes. In the paper the Curvature Scale Space (CSS) shape description algorithm is applied to the problem.

W artykule rozpatrywany jest problem Ogólnej Analizy Kształtu (OAK). Jest on zbliżony do rozpoznawania, a także indeksowania kształtów. Jednakże badany kształt nie musi należeć do żadnej z wzorcowych klas. Jest on jedynie podobny do niektórych z nich. Można powiedzieć, że w ten sposób wnioskujemy bardzo ogólną informację o kształcie – w jakim stopniu jest on okrągły, trójkątny, eliptyczny, itd. Omawiane podejście jest przydatne w zastosowaniach, w których stosuje się kilka podstawowych klas. W badaniach zastosowano deskryptor CSS.