Temat: fractal dimension - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Distribution of blackberry (Rubus hirtus W.K.)
The distribution of blackberry (Rubus hirtus W. K.) in different scales: the fractal analysis
Autorzy:: Gazda, Anna
Współwytwórcy:: Polish Academy of Sciences. Institute of Ecology
Wydawca:: Polish Academy of Sciences. Institute of Ecology. Publishing Office
Powiązania:: Różański W., Pancer-Kotejowa E., Grodzińska K. 1994 - Vegetation of the Ratanica watershed (Carpathian Foothills, Southern Poland) - Ekol. Pol. 41: 347-374.
Rabotnov T. A. 1950 - Life cycles of perennial herbage plants in meadow communities - Proc. Komarov. Bot. Inst. Acad. Sci. USSR ser. 3, 6: 7-240.
Jarosz S. 1935 - Badania geograficzno-leśne w Gorcach (A geographical study on forests of the Gorce Mountains) - Pr. roln.-leśn. PAU 16: 1-125.
Gazda A. 1992 - Warunki występowania jeżyny gruczołowatej Rubus hirtus (W. K.) w rezerwacie Ścisłym Dolina Łopusznej, w Gorczańskim Parku Narodowym (Conditions of occurrence of the blackberry (Rubus hirtus W. K.) in the strict area Dolina Łopusznej in the Gorce National Park) - Parki Narodowe i Rezerwaty Przyrody 11: 105-117.
Medwecka-Kornaś A. 1955 - Zespoły leśne Gorców (Plant communities of the Gorce Mountains) - Ochr. Przyr. 23:1-111.
Tutin T. G., Heywood V. H., Burges N. A., Valentino D. H. 1968 – Flora europaea.
Pancer-Koteja E. 1991 - Gatunki dynamiczne w runie lasów karpackich warunki występowania Calamagrostis arundinacea (L.) Roth., Chamaenerion angustifolium L., Rubus hirtus W.K., Rubus idaeus L., Senecio nemorensis L. s. l. (incl. S. fuchsii Gmel.) (Dynamic species in the forest floor vegetation of the Carpathian Mountains. Distribution and habitats of: Calamagrostis arundinacea (L.) Roth., Chamaenerion angustifolium L., Rubus hirtus W.K., Rubus idaeus L., Senecio nemorensis L. s. l. (incl. S. fuchsii Gmel.)) - Zesz. Nauk. Akad. Roln. Kraków 254: 133-150.
Józefiak J. 1993 - Statystyczna analiza występowania wybranych pospolitych gatunków runa leśnego w Gorczańskim Parku Narodowym (The statistical analysis of distribution of chosen plants of forest floor vegetation in the Gorce National Parks) - praca magisterska wykonana w KBLiOP AR, Kraków, msc.
Gazda A. 1996 - Geometria fraktali i niektóre jej zastosowania w ekologii (The fractal geometry and some of its applications in ecology) - Wiad. Ekol. 42: 163-178.
Bradbury R. H., Reichelt R. E., Green D.G 1984 - Fractals in ecology: methods and interpretation - Marine Ecology Progress Series 14: 295-296.
Pancer-Koteja E., Szwagrzyk J., Bodziarczyk J. 1998 - Small-scale spatial pattern and size structure of Rubus hirtus in a canopy gap - Journal of Vegetation Science 9 (in press).
Wiens J. A. 1989. Spatial scaling in ecology. Functional Ecology. 3: 385-397.
Gutierrez E., Almirall H. 1989 - Temporal properties of some biological systems and their fractal attractors. Bull. Math. Biol. 51 (6): 785-800.
Mandelbrot B. B. 1983 - The Fractal Geometry of Nature - W.H. Freeman & Co., New York.
Adamczy k B. 1966 - Gleby leśne w Gorcach (Forest soils in the Gorce Mountains) - Acta Agrar. Silv., s. Silv. 6.
Palmer M.W. 1988 - Fractal geometry: a tool for describing spatial pattern of plant communities - Vegetatio 75: 91-102.
Falconer K. 1985 - The geometry of fractal sets - Cambridge University Press. Cambridge, London, New York, New Rochelle, Melbourne, Sydney.
Kolasa J. 1989 - Ecological systems in herarchical perspective: breaks in community structure and other consequences - Ecology, 70 (1): 36-47.
Sugihara G., May M.M. 1990 - Applications of fractals in Ecology. TREE. 5, 3
Peitgen H.-O., Soupe D. 1988 - The Science of Fractal Images. Springer-Verlag, Berlin, Heidelberg, New York, Tokyo.
Hess M. 1965. - Piętra klimatyczne w Polskich Karpatach Zachodnich (Climatic zones of Polish Western Carpathian Mountains) - Zesz. Nauk. Uniw. Jagiell., Pr. Inst. Geogr. 11; 5-267.
Hastings H. M., Sugihara G. 1993 - Fractals a user's guide for the natural sciences - Oxford University Press.
Meusel H., Jager E., Weinert E. 1965 - Vergleichende Chorologie der Zentraleuropaischen Flora - VEB Gustav Fischer Verlag, Jena
May R. M. 1989 - Levels of Organization in Ecology (in Ecological Concepts, ed.: Cherrett J. M.). Blackwell Scientific Publications, Oxford, London, Edinburgh, Boston, Melbourne.: 339-363.
Polish Journal of Ecology
Kornaś J. 1955 - Charakterystyka geobotaniczna Gorców (Geobotanical characteristic of the Gorce Mountains) - Monogr. botan. 3:1-216.
Kornaś J. 1957 - Rośliny naczyniowe Gorców (Vascular Plant of the Gorce National Parks) - Monogr. botan. 5: 1-260
Opis:: Bibliografia na stronach 234-235
Bibliographical references (pages 234-235)
The scale dependence of natural patterns provides an opportunity to apply fractal geometry to diverse problems in "spatial" ecology so as to integrate the spatial and temporal characteristics of complex environments. In this paper I attempt to explore the scaling dependency of in an autecological study on blackberry across a range of scales by applying fractal theory. The fractal dimension of: the blackberry (Rubus hirtus W. K.) distribution within its geographical range is 1.44 ± 0.02; the pattern in the Gorce National Park (5908 ha) is 1.47 ± 0.05; the pattern for Łopuszna Valley (49°34'N, 20°08'E) (185.86 ha) is 1.30 ± 0.09 and 1.32 ± 0.05 for the Ratanica watershed (49°51 'N, 20°02'E) ( 121.76 ha) (Fig. 1 ); the distribution of blackberry within the six plots located within the Ratanica watershed has values: 1.21 ± 0.09 to 1.45 ± 0.06. On the gap plot, located within Ratanica watershade, created in 1987, year the fractal dimension of blackberry distribution increased from 1.21 ± 0.16 to 1.60 ± 0.04 during 5 successive years (Fig. 2). In the same region, on plot located under the dense forest, D of blackberry distribution has not changed and reached value 1.28 ± 0.05. This study demonstrates that the distribution pattern is heavily influenced by scale. There are no possibilities to detect any breakpoint at scale intervals within the range of spatial scales studied, because the study of pattern was carried out on a noncontinuous scale (Fig. 4).
Strony 225-235 : ilustracje ; 27 cm
Pages 225-235 : illustrations ; 27 cm
Dostawca treści:: RCIN - Repozytorium Cyfrowe Instytutów Naukowych

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Tytuł:: Seismo Magnetic Moment Fractal Dimension for Characterizing Shajara Reservoirs of the Permo-Carboniferous Shajara Formation, Saudi Arabia
Autorzy:: Alkhidir, Khalid Elyas Mohamed Elameen
Tematy:: Capillary pressure fractal dimension
Seismo magnetic moment fractal dimension
Shajara Formation
Shajara Reservoirs; Pokaż więcej
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Powiązania:: https://bibliotekanauki.pl/articles/1030683.pdf Link otwiera się w nowym oknie
Opis:: The quality and assessment of a reservoir can be documented in details by the application of seismo magnetic moment. This research aims to calculate fractal dimension from the relationship among seismo magnetic moment, maximum seismo magnetic moment and wetting phase saturation and to approve it by the fractal dimension derived from the relationship among capillary pressure and wetting phase saturation. Two equations for calculating the fractal dimensions have been employed. The first one describes the functional relationship between wetting phase saturation, seismo magnetic moment, maximum seismo magnetic moment and fractal dimension. The second equation implies to the wetting phase saturation as a function of capillary pressure and the fractal dimension. Two procedures for obtaining the fractal dimension have been utilized. The first procedure was done by plotting the logarithm of the ratio between seismo magnetic moment and maximum seismo magnetic moment versus logarithm wetting phase saturation. The slope of the first procedure = 3- Df (fractal dimension). The second procedure for obtaining the fractal dimension was determined by plotting the logarithm of capillary pressure versus the logarithm of wetting phase saturation. The slope of the second procedure = Df -3. On the basis of the obtained results of the fabricated stratigraphic column and the attained values of the fractal dimension, the sandstones of the Shajara reservoirs of the Shajara Formation were divided here into three units.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Analiza fraktalna w badaniu morfologii komórek tkanki nerwowej : metody i problemy
Fractal analysis of neural and glial cells morphology : methods and problems
Autorzy:: Sołtys, Zbigniew
Romanowska-Pawliczek, Anna
Piechota, Marcin
Opis:: Methods derived from fractal geometry can be used in many areas of neurobiology. For example, fractal dimension is a quantitative measure of cell shape complexity. Three methods of estimation of this parameter are described, i.e. box counting, dilation, and mass-radius. The advantages of fractal analysis and some problems are briefly discussed.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 4.

Tytuł:: On the relationship between fractal geometry of space and time in which a system of interacting cells exists and dynamics of gene expression.
Autorzy:: Waliszewski, Przemysław
Molski, Marcin
Konarski, Jerzy
Tematy:: complexity
neoplasia
fractal
differentiation
fractal dimension; Pokaż więcej
Wydawca:: Polskie Towarzystwo Biochemiczne
Powiązania:: https://bibliotekanauki.pl/articles/1044188.pdf Link otwiera się w nowym oknie
Opis:: We report that both space and time, in which a system of interacting cells exists, possess fractal structure. Each single cell of the system can restore the hierarchical organization and dynamic features of the entire tumor. There is a relationship between dynamics of gene expression and connectivity (i.e., interconnectedness which denotes the existence of complex, dynamic relationships in a population of cells leading to the emergence of global features in the system that would never appear in a single cell existing out of the system). Fractal structure emerges owing to non-bijectivity of dynamic cellular network of genes and their regulatory elements. It disappears during tumor progression. This latter state is characterized by damped dynamics of gene expression, loss of connectivity, loss of collectivity (i.e., capability of the interconnected cells to interact in a common mode), and metastatic phenotype. Fractal structure of both space and time is necessary for a cellular system to self-organize. Our findings indicate that results of molecular studies on gene expression should be interpreted in terms of space-time geometry of the cellular system. In particular, the dynamics of gene expression in cancer cells existing in a malignant tumor is not identical with the dynamics of gene expression in the same cells cultured in the monolayer system.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Methods of comparison of surface texture based on fractal dimension and Hotelling’s T2 test
Autorzy:: Gogolewski, Damian
Tematy:: face milling
fractal dimension
surface roughness
test; Pokaż więcej
Wydawca:: Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Powiązania:: https://bibliotekanauki.pl/articles/99764.pdf Link otwiera się w nowym oknie
Opis:: Comparative analysis of the surface texture of machine parts can be successfully carried out using statistical tests. The paper presents a methodology of method used to compare the surface texture by applying Hotelling’s T2 test as well as a method used to evaluate surface topography by applying fractal dimension. The tests were carried out on samples produced with the use of face milling process for four types of materials. The following types of steel were used: 40HM, C45, NC6 and WCL. For each type of material, four areas were machined with the same machining parameters. Based on these results a decision was made whether the surfaces, despite the same machining conditions, were significantly different from each other. Furthermore, the analysis indicated that the fractal dimension enabled to characterise signal irregularities in quantitative and qualitative way.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Improved reliability for fractal dimension calculation of the vascular imprints on the cranial vault mapped with topographical correction
Autorzy:: Tatón, Grzegorz
Kozerska, Magdalena
Sioma, Andrzej
Nieckarz, Zenon
Skrzat, Janusz
Opis:: We presented a novel approach to studies of the vascular grooves located on the inner surface of the cranial vault. A three-dimensional vision system that acquired the endocranial surface topography was used for this purpose. The acquired data were used to generate images showing the branching pattern of the middle meningeal artery. Fractal dimension was used to characterize and analyze branching pattern complexity. We discussed the usefulness of the latter method and indicated difficulties and potential errors connected to the fractal dimension application. The technique introduced for recording traits of the object surface appears to be helpful in anatomical study of morphological variation of dural vascularization. It may also be applicable in paleoneurological research based on analysis of the cranial remnants. Fractal dimension should be used carefully as a method sensitive to many aspects of data acquisition and processing.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

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Skocz do pozycji: 7.

Tytuł:: BCFD - a Visual Basic program for calculation of the fractal dimension of digitized geological image data using a box-counting technique
Autorzy:: Verbovšek, T.
Tematy:: program
Visual Basic
image analysis
fractal dimension; Pokaż więcej
Wydawca:: Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Powiązania:: https://bibliotekanauki.pl/articles/2059206.pdf Link otwiera się w nowym oknie
Opis:: The BCFD program was develped for the analysis of digitized objects using a box-counting algorithm, which has the largest number of applications among the fractal methods in the geosciences. Counting is performed by scanning of image pixels in boxes of different sizes, and the number of boxes is determined automatically from the image resolution. The program calculates the fractal dimension D of theobjects in the image, along with the coefficient of determination R2. Input files are thus transferred to ubiquitous BMP images, in a 1-bit monochrome for mat. The pro gram out puts the re sults on screen, into a text file and op tion ally also di rectly into MS Ex cel, where the data can be fur ther used in charts or other cal cu la tions. It was tested with three fractal and three Eu clid ean ob jects with known the o ret i cal val - ues, plus three geo log i cal im age data (a nat u ral river net work and two frac ture net works), and gave re sults with very high or per fect the o - ret i cal ac cu racy. Ap pli ca tion of data val ues ob tained is pre sented with sev eral ex am ples. BCFD is writ ten in Vi sual Ba sic 6.0. The source code is freely avail able, and is open for any mod i fi ca tions or in te gra tion with other soft ware pack ages that are pow ered by Vi sual Ba sic for Ap pli ca tions (VBA) or its equiv a lent.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Fractal dimension and variant anatomy of the white matter of the human cerebellar hemisperes
Autorzy:: Maryenko, N. I.
Stepanenko, O. Yu.
Tematy:: human, cerebellum, fractal dimension, white matter, anatomical variability; Pokaż więcej
Wydawca:: Uniwersytet Mikołaja Kopernika w Toruniu. Wydział Nauk o Ziemi i Gospodarki Przestrzennej. Katedra Kultury Fizycznej
Powiązania:: https://bibliotekanauki.pl/articles/765463.pdf Link otwiera się w nowym oknie
Opis:: Introduction. Morphological changes of the cerebellar lobules are found in many congenital and acquired diseases of the cerebellum, but the information on the normal structure of the cerebellar lobules do not take into account the peculiarities of individual anatomical variability, sex and age characteristics.Aim – to investigate anatomical variability and fractal dimension of the white matter of the human cerebellar hemispheres.Material and methods. The study involved 100 cerebella of people of both sexes, who died of causes unrelated to brain pathology (20–99 years old). Parasagittal sections of the cerebellar hemispheres were investigated.Results. On parasagittal sections number of main branches of white matter is very varied and depends on peculiarities of structure of the hemispheric lobules. It was found that there is individual variability of the structure of the human cerebellar hemispheres, namely white matter branching features. We described variants of the branching of the main branches of white matter of the human cerebellar hemispheres.Fractal dimension of the white matter was determined. The white matter of the cerebellum is typical quasi-fractal structure that can be objectively described using fractal dimension. Fractal index of the white matter of the cerebellar hemispheres varies from 1.119 to 1.519; average fractal index is 1.370. Fractal analysis can be used as an objective morphometric criterion for the diagnosis of various diseases of the cerebellum and other structures of the central nervous system.Conclusions. Described variants of the cerebellar lobules and fractal dimension can be used as criteria for modern diagnostic imaging techniques for the diagnosis of various diseases of the CNS. The data can be used as the basis for atlases of serial sections of the cerebellum.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Fractal Analysis of Noise Signals of Sampo and John Deere Combine Harvesters in Operational Conditions
Autorzy:: Boroujeni, Farzad Mahdiyeh
Maleki, Ali
Tematy:: sound
combine
fractal dimension
engine speed
sliding window; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/176317.pdf Link otwiera się w nowym oknie
Opis:: Combine harvesters are the source a large amount of noise in agriculture. Depending on different working conditions, the noise of such machines can have a significant effect on the hearing conditio of drivers. Therefore, it is highly important to study the noise signals caused by these machines and find solutions for reducing the produced noise. The present study was carried out is order to obtain the fractal dimension (FD) of the noise signals in Sampo and John Deere combine harvesters in different operational conditions. The noise signals of the combines were recorded with different engine speeds, operational conditions, gear states, and locations. Four methods of direct estimations of the FD of the waveform in the time domain with three sliding windows with lengths of 50, 100, and 200 ms were employed. The results showed that the Fractal Dimension/Sound Pressure Level [dB] in John Deere and Sampo combines varied in the ranges of 1.44/96.8 to 1.57/103.2 and 1.23/92.3 to 1.51/104.1, respectively. The cabins of Sampo and John Deere combines reduced and enhanced these amounts, respectively. With an increase in the length of the sliding windows and the engine speed of the combines, the amount of FD increased. In other words, the size of the suitable window depends on the extraction method of calculating the FD. The results also showed that the type of the gearbox used in the combines could have a tangible effect on the trend of changes in the FD.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Objects classification using fractal dimension and shape based on leaves classification
Autorzy:: Leś, Tomasz
Osowski, Stanisław
Kruk, Michał
Wydawca:: Wydawnictwo UR
Cytata wydawnicza:: Les, Tomasz & Kruk, Michał & Osowski, Stanislaw. (2013). Objects classification using fractal dimension and shape based on leaves classification. Third Conference Computing in Science and Technology.
Opis:: The paper presents the process of creating an automatic clas-sifier based on leaf shape and fractal dimension. Fractal dimension is able to precisely describe any fractal object. The specific case of fractal dimension - the box-Counting Dimension - applies not only to the fractals. We can use it to describe objects that are not really fractals, but have self-similar patterns. Leaves are an example of such objects, but also clouds, cosmic objects, blood vessels, nervous systems, or waves which describe physical phenomena can be considered as those. This paper describes all the steps of creating an automat-ic classifier: the choice of the database to be analyzed, preparation of the clas-sification, classification process itself and the tests . The thesis presents in de-tails the steps which are necessary to undertake in the process of the trans-formation of the images in order to prepare the images for the classification. There are presented methods of features evaluation, and data visualization. Tests using the popular KNN and SVM classifiers answer the question whether the fractal dimension can be used as a feature in object classification.
Michał Kruk
Dostawca treści:: Repozytorium Centrum Otwartej Nauki

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