Mathematical Morphology in Polar-Logarithmic Coordinates. Application to Erythrocyte Shape Analysis
نویسندگان
چکیده
We present in this paper the application of mathematical morphology operators through a transformation of the Cartesian image into another geometric space, i.e. pol-log image. The conversion into polar-logarithmic coordinates as well as the derived cyclic morphology provides satisfying results in image analysis applied to round objects or spheroid-shaped 3D-object models. As an example of application, an algorithm for the shape analysis of the shape of red blood cells is given.
منابع مشابه
A mathematical morphology approach to cell shape analysis
Morphological analysis of cells (size, shape, texture, etc.) is fundamental in quantitative cytology. Anomalies and variations from the typical cell are associated with pathological situations, e.g., useful in cancer diagnosis, in cellbased screening of new active molecules, etc. Mathematical morphology is a nonlinear image processing technique based on minimum and maximum operations [SER82], i...
متن کاملMeasurement of biological shape: a general method applied to mouse vertebrae.
A method is described for recording and analysing the projected shape of mouse vertebrae. The image of the shape is captured by a television camera, cleaned, digitized and subjected to mathematical analysis. A visual representation is obtained by reconstructing the shape in polar coordinates about its centre of area. Further statistical analysis of the whole shape is performed after a Fourier t...
متن کاملA 3D-polar Coordinate Colour Representation Suitable for Image Analysis
The processing and analysis of colour images has become an important area of study and application. The representation of the RGB colour space in 3D-polar coordinates (hue, saturation and brightness) can sometimes simplify this task by revealing characteristics not visible in the rectangular coordinate representation. The literature describes many such spaces (HLS, HSV, etc.), but many of them,...
متن کاملAnalysis of Four Polar Shape Descriptors Properties in an Exemplary Application
The paper presents the results of a comparison of four shape representation techniques that use the transformation of the points from Cartesian to polar coordinates. An exemplary application was selected — the recognition of characters extracted from polish car license plates. The main goal was the selection of the best polar shape descriptor basing on the experiments performed as well as the d...
متن کاملACTA UNIVERSITATIS APULENSIS Special Issue MATHEMATICAL MORPHOLOGY BASED ON LOGARITHMIC IMAGE PROCESSING THEORY
The purpose of this paper is to define and to analyze three new sets of logarithmic morphological operators and it is focused on theoretical and practical aspects concerning the enhancement of the transmitted images and the physical absorption/transmission laws expressed within LIP (Logarithmic Image Processing) mathematical framework. Using different logarithmic image representations, an appro...
متن کامل