Invariant Fourier Descriptors Representation of Medieval Byzantine Neume Notation

2009 ◽  
pp. 192-199
Author(s):  
Dimo Dimov ◽  
Lasko Laskov
Keyword(s):  
Fourier Descriptors

Effects of sex, stock, and environment on the shape of known-age Atlantic cod (Gadus morhua) otoliths

2004 ◽  
Vol 61 (2) ◽  
pp. 158-167 ◽  
Author(s):  
M Cardinale ◽  
P Doering-Arjes ◽  
M Kastowsky ◽  
H Mosegaard
Keyword(s):  
Shape Analysis ◽  
Gadus Morhua ◽  
Atlantic Cod ◽  
Fourier Descriptors ◽  
Faroe Islands ◽  
Stock Identification ◽  
Relative Importance ◽  
Age Classes ◽  
Otolith Shape ◽  
Left And Right

The effects of sex, stock, and environment on the shape of known-age Atlantic cod (Gadus morhua) otoliths from the Faroe Islands were investigated. Moreover, the feasibility of otolith shape analysis for stock identification was evaluated. The shape was described by using several normalized Fourier descriptors and morphometric variables. There were no consistent differences between the left and right otoliths and between sexes within different age classes, stocks, and environments. With our experimental design, we could evaluate the relative importance of genetic and environmental conditions (water temperature and diet regime) on otolith shape and morphometrics. Using otolith shape, cod individuals were significantly separated into Bank and Plateau stocks. Total classification success was between 79% and 85% between stocks and between 85% and 96% between environments for the different age classes. The significant differences in otolith shape between Faroe Bank and Faroe Plateau cod stocks provided a phenotypic basis for stock separation. Stock and environmental influences were substantial in determining the shape of cod otoliths.

scholarly journals Categorization of the main descriptors of different ampicillin crystal habits

2010 ◽  
Vol 46 (4) ◽  
pp. 679-685 ◽  
Author(s):  
Oscar Flórez-Acosta ◽  
Gloria Tobón-Zapata ◽  
Jaime Valencia-Velasquez
Keyword(s):  
Principal Component Analysis ◽  
Raw Materials ◽  
Principal Component ◽  
Crystal Habit ◽  
Morphological Properties ◽  
Effective Diameter ◽  
Fourier Descriptors ◽  
Morphological Descriptors ◽  
Digital Methods ◽  
Selection Of

With the purpose of enabling the analysis by digital methods of particles of multisource pharmaceutical raw materials, this study analyzed different crystal habits of ampicillin particles, by grouping the external shapes obtained from 3 different solvents (acetonitrile, ethanol, and methanol), thereby reducing the number of descriptors necessary to adequately represent each shape. For this purpose, a selection of morphological descriptors was used including: circularity, roughness, roundness, compactness, aspect ratio, effective diameter, solidity, convexity, fractal dimension, and 10 Complex Fourier descriptors. These measures cover highly diverse morphological properties and define the crystal habit of a particle. Principal Component Analysis (PCA) and the Cluster Analysis (CA) were the grouping techniques used, which demonstrated the possibility of using between 2 and 4 descriptors instead of the 18 proposed initially.

scholarly journals Fast Polar and Spherical Fourier Descriptors for Feature Extraction

2010 ◽  
Vol E93-D (7) ◽  
pp. 1708-1715 ◽  
Author(s):  
Zhuo YANG ◽  
Sei-ichiro KAMATA
Keyword(s):  
Feature Extraction ◽  
Fourier Descriptors

Inter-Patient Modelling of 2D Lung Variations from Chest X-Ray Imaging via Fourier Descriptors

2018 ◽  
Vol 42 (11) ◽  
Author(s):  
Ali Afzali ◽  
Farshid Babapour Mofrad ◽  
Majid Pouladian
Keyword(s):  
Fourier Descriptors ◽  
X Ray ◽  
X Ray Imaging ◽  
Chest X Ray

scholarly journals On the evaluation of chicken egg shape variability

2008 ◽  
Vol 56 (5) ◽  
pp. 69-74 ◽  
Author(s):  
Miroslav Havlíček ◽  
Šárka Nedomová ◽  
Jana Simeonovová ◽  
Libor Severa ◽  
Ivo Křivánek
Keyword(s):  
Shape Index ◽  
Width Ratio ◽  
Geometrical Parameters ◽  
Fourier Descriptors ◽  
Shape Variation ◽  
Egg Volume ◽  
Maximum Width ◽  
Chicken Egg ◽  
Egg Shape ◽  
Elliptic Fourier Descriptors

Although recently reported models for determining egg shape are highly accurate, certain com­pli­ca­ted measurements or computations are to be performed. Thus relatively simple and attainable analysis methods of chicken egg shape variability were chosen and used for the purpose of presented research. Sample of 250 eggs of ISA BROWN strain was examined. Geometrical parameters were measured and calculated with following expression of their coefficient of variation – namely egg length 3.56 %, egg maximum width 2.84 %, shape index 3.80 %, surface area 5.08 %, and egg volume 7.23 %. The second method consisted in shape quantitative measuring by the score of the principal components of elliptic Fourier descriptors (EFDs). The first four principles components which could explain over 99 % of the egg shape variations were found to be very good measures of the monitored phenomenon. It was found that 87.41 % of the total shape variation can be accounted to length to width ratio. Usefulness and relevance of the shape index usage was confirmed.

scholarly journals Fully Automatic Cell Segmentation with Fourier Descriptors

2021 ◽  
Author(s):  
Dominik Hirling ◽  
Peter Horvath
Keyword(s):  
Neural Networks ◽  
Convolutional Neural Networks ◽  
Fundamental Problem ◽  
Cell Segmentation ◽  
Fourier Descriptors ◽  
Control Points ◽  
Coefficient Vector ◽  
Fully Automatic ◽  
High Level ◽  
And Control

Cell segmentation is a fundamental problem in biology for which convolutional neural networks yield the best results nowadays. In this paper, we present HarmonicNet, a network, which is a modification of the popular StarDist and SplineDist architectures. While StarDist and SplineDist describe an object by the lengths of equiangular rays and control points respectively, our network utilizes Fourier descriptors, predicting a coefficient vector for every pixel on the image, which implicitly define the resulting segmentation. We evaluate our model on three different datasets, and show that Fourier descriptors can achieve a high level of accuracy with a small number of coefficients. HarmonicNet is also capable of accurately segmenting objects that are not star-shaped, a case where StarDist performs suboptimally according to our experiments.

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