Relevant bibliographies by topics / Higuchi fractal dimension

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Higuchi fractal dimension'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Higuchi fractal dimension"

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Wanliss, J., R. Hernandez Arriaza, G. Wanliss, and S. Gordon. "OPTIMIZATION OF THE HIGUCHI METHOD." International Journal of Research -GRANTHAALAYAH 9, no. 11 (2021): 202–13. http://dx.doi.org/10.29121/granthaalayah.v9.i11.2021.4393.

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Background and Objective: Higuchi’s method of determining fractal dimension (HFD) occupies a valuable place in the study of a wide variety of physical signals. In comparison to other methods, it provides more rapid, accurate estimations for the entire range of possible fractal dimensions. However, a major difficulty in using the method is the correct choice of tuning parameter (kmax) to compute the most accurate results. In the past researchers have used various ad hoc methods to determine the appropriate kmax choice for their particular data. We provide a more objective method of determining,
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Bykova, M. O., and V. A. Balandin. "Methodological features of the analysis of the fractal dimension of the heart rate." Russian Technological Journal 11, no. 2 (2023): 58–71. http://dx.doi.org/10.32362/2500-316x-2023-11-2-58-71.

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Objectives. The aim of the present work is to determine the fractal dimension parameter calculated for a sequence of R–R intervals in order to identify the boundaries of its change for healthy and sick patients, as well as the possibility of its use as an additional factor in the detection of cardiac pathology.Methods. In order to determine the fractal dimension parameter, the Hurst-, Barrow-, minimum coverage area-, and Higuchi methods are used. For assessing the stationarity of a number of electrocardiography (ECG) intervals, a standard method is used to compare arithmetic averages and varia
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MORENO-GOMEZ, ALEJANDRO, JOSE M. MACHORRO-LOPEZ, JUAN P. AMEZQUITA-SANCHEZ, CARLOS A. PEREZ-RAMIREZ, MARTIN VALTIERRA-RODRIGUEZ, and AURELIO DOMINGUEZ-GONZALEZ. "FRACTAL DIMENSION ANALYSIS FOR ASSESSING THE HEALTH CONDITION OF A TRUSS STRUCTURE USING VIBRATION SIGNALS." Fractals 28, no. 07 (2020): 2050127. http://dx.doi.org/10.1142/s0218348x20501273.

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During the last years, civil infrastructure has experienced an increasing development to satisfy the society’s demands such as communication, transportation, work and living spaces, among others. In this sense, the development and application of methods to guarantee the structure optimal operation, known as Structural Health Monitoring schemes, are necessary in order to avoid economic and human losses. Modern schemes employ the structure vibration response as any damage will modify the structure physical properties, which will be reflected in the vibration response. Thus, by measuring the wave
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Benavides-Bravo, Francisco Gerardo, Dulce Martinez-Peon, Ángela Gabriela Benavides-Ríos, Otoniel Walle-García, Roberto Soto-Villalobos, and Mario A. Aguirre-López. "A Climate-Mathematical Clustering of Rainfall Stations in the Río Bravo-San Juan Basin (Mexico) by Using the Higuchi Fractal Dimension and the Hurst Exponent." Mathematics 9, no. 21 (2021): 2656. http://dx.doi.org/10.3390/math9212656.

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When conducting an analysis of nature’s time series, such as meteorological ones, an important matter is a long-range dependence to quantify the global behavior of the series and connect it with other physical characteristics of the region of study. In this paper, we applied the Higuchi fractal dimension and the Hurst exponent (rescaled range) to quantify the relative trend underlying the time series of historical data from 17 of the 34 weather stations located in the Río Bravo-San Juan Basin, Mexico; these data were provided by the National Water Commission CONAGUA) in Mexico. In this way, th
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Li, Yuxing, Shuai Zhang, Lili Liang, and Qiyu Ding. "Multivariate Multiscale Higuchi Fractal Dimension and Its Application to Mechanical Signals." Fractal and Fractional 8, no. 1 (2024): 56. http://dx.doi.org/10.3390/fractalfract8010056.

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Fractal dimension, as a common nonlinear dynamics metric, is extensively applied in biomedicine, fault diagnosis, underwater acoustics, etc. However, traditional fractal dimension can only analyze the complexity of the time series given a single channel at a particular scale. To characterize the complexity of multichannel time series, multichannel information processing was introduced, and multivariate Higuchi fractal dimension (MvHFD) was proposed. To further analyze the complexity at multiple scales, multivariate multiscale Higuchi fractal dimension (MvmHFD) was proposed by introducing multi
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Sabrine, Ben, and Aguili Taoufik. "Application of Fractal Dimension for Cardiac Arrhythmias Classification." Computational Biology and Bioinformatics 12, no. 1 (2024): 12–17. http://dx.doi.org/10.11648/j.cbb.20241201.12.

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Fractal analysis is crucial for understanding complex, irregular patterns found in nature, finance, and various scientific fields. It helps to reveal self-similarity, where structures repeat at different scales, providing insights into chaotic systems like weather patterns, stock markets, and biological growth. By applying fractal analysis, researchers can model phenomena that traditional geometric methods cannot easily describe, enabling better predictions and deeper comprehension of dynamic systems. The Fractals are a fascinating mathematical tool for modeling the roughness of nature and und
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Garner, David M., Naiara Maria de Souza, and Luiz Carlos M. Vanderlei. "Heart Rate Variability Analysis: Higuchi and Katz’s Fractal Dimensions in Subjects with Type 1 Diabetes Mellitus." Romanian Journal of Diabetes Nutrition and Metabolic Diseases 25, no. 3 (2018): 289–95. http://dx.doi.org/10.2478/rjdnmd-2018-0034.

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Abstract Background and aims: Statistical markers are valuable when assessing physiological status over periods of time and in certain disease states. We assess if type 1 diabetes mellitus promote modification in the autonomic nervous system using the main two types of algorithms to estimate a Fractal Dimension: Higuchi and Katz. Material and methods: 46 adults were divided into two equal groups. The autonomic evaluation consisted of recording heart rate variability (HRV) for 30 minutes in supine position in absence of any other stimuli. Fractal dimensions ought then able to determine which se
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Kumar, Sanjeev, Amod Kumar, Anjan Trikha, Sneh Anand, and Prashanth Gantla. "Higuchi fractal dimension as a measure of analgesia." International Journal of Medical Engineering and Informatics 4, no. 1 (2012): 66. http://dx.doi.org/10.1504/ijmei.2012.045304.

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Pamela, Yolanda Gandes, and Dwi Juniati. "KLASIFIKASI JENIS DELPHINIDAE (LUMBA-LUMBA) DENGAN DIMENSI FRAKTAL MENGGUNAKAN METODE HIGUCHI DAN KNN (K-NEAREST NEIGHBOR)." MATHunesa: Jurnal Ilmiah Matematika 9, no. 1 (2021): 204–11. http://dx.doi.org/10.26740/mathunesa.v9n1.p204-211.

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The delphinidae family belongs to the Cetacean Order and is a member of the Odontocetes. The delphinidae family has characterized by the physical characteristics and frequency ranges of sound signals produced. Living in the sea and being a rare animal makes delphinidae very difficult to find and if we want to be classified, we have to capture and analyze the physicality of delphinidae. By using the fractal dimension we can analyze the sounds of the delphinidae family based on the characteristics of their sound signals to classify them. In this research, members of the delphinidae family will b
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Gvozdarev, Alexey, and Roman Parovik. "On the Relationship between the Fractal Dimension of Geomagnetic Variations at Altay and the Space Weather Characteristics." Mathematics 11, no. 16 (2023): 3449. http://dx.doi.org/10.3390/math11163449.

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The fractal dimension of geomagnetic field component variations (horizontal—H, vertical—Z and magnetic declination—D) at the Baigazan magnetic station at Russian Altay, for the period 2011–2013, were calculated using the Higuchi method. The daily variation of Higuchi Fractal Dimension (HFD) for the D, H, Z components of the geomagnetic field were investigated, and its contribution to the variability of HFD was found to be from 30 to 40 percent of the total variance. A correlation analysis of the fractal dimension of the variations of the D, H, Z components with the Auroral Electrojet (AE) inde
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Dissertations / Theses on the topic "Higuchi fractal dimension"

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Cusenza, Monica. "Fractal analysis of the EEG and clinical applications." Doctoral thesis, Università degli studi di Trieste, 2012. http://hdl.handle.net/10077/7394.

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2010/2011<br>Most of the knowledge about physiological systems has been learned using linear system theory. The randomness of many biomedical signals has been traditionally ascribed to a noise-like behavior. An alternative explanation for the irregular behavior observed in systems which do not seem to be inherently stochastic is provided by one of the most striking mathematical developments of the past few decades, i.e., chaos theory. Chaos theory suggests that random-like behavior can arise in some deterministic nonlinear systems with just a few degrees of freedom. One of the most evocative a
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Book chapters on the topic "Higuchi fractal dimension"

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Bachmann, M., A. Suhhova, J. Lass, and H. Hinrikus. "Revealing Small Hidden Changes in Human EEG by Higuchi’s Fractal Dimension." In IFMBE Proceedings. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-34197-7_12.

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Lawal, Alaba Joy, Otasowie Owolafe, and Aderonke F. Thompson. "Audio Steganalysis Using Fractal Dimension and Convolutional Neural Network (CNN) Model." In Emerging Technologies and Security in Cloud Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2081-5.ch015.

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The rate at which secret messages are being transmitted through various digital signal media is alarming; these operations are done in an unsuspicious manner and users transmit these messages without knowledge of the embedded secret messages. Audio steganalysis deals with detecting the presence of secret messages in audio messages. Some of the existing steganalysis methods are laden with having prior knowledge of the steganography methods adopted in embedding the secret message in an audio signal, which reduces the detection efficiency. Consequently, this research developed a Higuchi-based aud
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D'Addio Gianni, Corbi Graziamaria, Accardo Agostino, et al. "Fractal Behaviour of Heart Rate Variability Reflects Severity in Stroke Patients." In Studies in Health Technology and Informatics. IOS Press, 2009. https://doi.org/10.3233/978-1-60750-044-5-794.

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Non-linear parameters obtained from heart rate variability (HRV) analysis has recently been recognized to provide valuable information for physiological interpretation of heart rate fluctuation. Among the numerous non-linear parameters related to the fractal behaviour of the HRV signal, two classes have gained wide interest in the last years: the beta exponent based on the 1/f-like relationship, starting from the spectral power, and that based on fractal dimension. In order to evaluate the relationship between lesion's severity and fractal behaviour, 20 first-ever stroke subjects and 10 health
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Priya, Pradip Kumar, Ram Pratap Yadav, Hari Pratap Bhasker, Anil Kumar, and Kusum Lata Pandey. "Investigation of Substrate-effect on BaF2 Thin Films: A Study of Fractal Nature." In Materials Science: A Field of Diverse Industrial Applications. BENTHAM SCIENCE PUBLISHERS, 2023. http://dx.doi.org/10.2174/9789815051247123010007.

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BaF2 thin films of thickness 20 nm are prepared using the electron beam evaporation technique (at room temperature) on glass, silicon (Si) as well as aluminum (Al) substrate, respectively. These substrates play a crucial role in the evolution of thin film surface morphology. The thin films grown far from equilibrium have self-affine nature which is reminiscent of fractal behaviour. The surface morphology of films is recorded by atomic force microscopy (AFM). Scaling law analysis is performed on AFM images to confirm that the thin film surfaces under investigation have self-affine nature. The c
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Accardo Agostino, Cusenza Monica, De Felice Alberto, Fornasa Elisa, and D'Addio Giovanni. "Ultradian Rhythms During Day and Night in Normal and COPD Subjects." In Studies in Health Technology and Informatics. IOS Press, 2012. https://doi.org/10.3233/978-1-61499-101-4-1120.

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The analysis of heart rate variability (HRV) is a powerful tool in the study of the autonomic control of the heart. While circadian HRV rhythms have widely been characterized by traditional spectral measures, ultradian oscillations are not commonly investigated. In this study the identification of HRV ultradian rhythms is assigned to a quantitative measure characterizing the fractal-like behavior of the time series: the fractal dimension (FD). In order to assess ultradian regulation in Chronic Obstructive Pulmonary Disease (COPD) 24-h Holter ECG recordings of 52 COPD and 10 normal (healthy) su
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Conference papers on the topic "Higuchi fractal dimension"

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Brari, Zayneb, Ines Bouzouita, and Safya Belghith. "Higuchi versus Katz fractal dimensions based features extraction method for epilepsy diagnosis using EEG signals." In 2024 IEEE 7th International Conference on Advanced Technologies, Signal and Image Processing (ATSIP). IEEE, 2024. http://dx.doi.org/10.1109/atsip62566.2024.10639000.

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Chatterton, Steven, Paolo Pennacchi, Andrea Vania, Phuoc Vinh Dang, and Filippo Cangioli. "Diagnostics of Rolling Element Bearings by Means of the Higuchy Fractal Dimension." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46609.

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In the field of rolling element bearing, the degradation of bearing health could be detected by means of suitable damage indexes. Band-Kurtosis index, that is the kurtosis value of the band-filtered signal, is often assumed. The critical point of this approach is the selection of a suitable filter band. In the paper, the use of a chaos metrics, namely the Higuchi fractal dimension as damage indicator is described. The trend of this index is compared with the common approach of band-kurtosis indicator for an experimental case of a rolling element bearing in which the defect developed until a pe
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Topcu, Cagdas, Merve Bedeloglu, Arzu Akgul, et al. "Higuchi fractal dimension analysis of surface EMG signals and determination of active electrode positions." In 2014 18th National Biomedical Engineering Meeting (BIYOMUT). IEEE, 2014. http://dx.doi.org/10.1109/biyomut.2014.7026348.

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Wijayanto, Inung, Rudy Hartanto, and Hanung Adi Nugroho. "Higuchi and Katz Fractal Dimension for Detecting Interictal and Ictal State in Electroencephalogram Signal." In 2019 11th International Conference on Information Technology and Electrical Engineering (ICITEE). IEEE, 2019. http://dx.doi.org/10.1109/iciteed.2019.8929940.

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Al-nuaimi, Ali H., Emmanuel Jammeh, Lingfen Sun, and Emmanuel Ifeachor. "Higuchi fractal dimension of the electroencephalogram as a biomarker for early detection of Alzheimer's disease." In 2017 39th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2017. http://dx.doi.org/10.1109/embc.2017.8037320.

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Krakovska, Hana, and Anna Krakovska. "Problems of Estimating Fractal Dimension by Higuchi and DFA Methods for Signals That Are a Combination of Fractal and Oscillations." In 2021 13th International Conference on Measurement. IEEE, 2021. http://dx.doi.org/10.23919/measurement52780.2021.9446804.

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Rahmat, Abdullah Basuki, and Keiji Iramina. "Classification of multiclass eeg signal related to mental task using higuchi fractal dimension and 10-Statistic Parameters - Support Vector Machine." In TENCON 2015 - 2015 IEEE Region 10 Conference. IEEE, 2015. http://dx.doi.org/10.1109/tencon.2015.7372967.

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Marri, Kiran, and Ramakrishnan Swaminathan. "Classification of Muscular Nonfatigue and Fatigue Conditions Using Surface EMG Signals and Fractal Algorithms." In ASME 2016 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/dscc2016-9828.

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The application of surface electromyography (sEMG) technique for muscle fatigue studies is gaining importance in the field of clinical rehabilitation and sports medicine. These sEMG signals are highly nonstationary and exhibit scale-invariant self-similarity structure. The fractal analysis can estimate the scale invariance in the form of fractal dimension (FD) using monofractal (global single FD) or multifractal (local varying FD) algorithms. A comprehensive study of sEMG signal for muscle fatigue using both multifractal and monofractal FD features have not been established in the literature.
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Barbosa, Lara Martins, Ana Maria Amarillo Bertone, and Anielle G. Vaz Coelho. "Fisiologia fractal: a dimensão de Higuchi e suas aplicações." In XXXV CNMAC - Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2015. http://dx.doi.org/10.5540/03.2015.003.01.0075.

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Peya, Zahrul Jannat, Md Ferdous, M. A. H. Akhand, Mohammed Golam Zilani, and Nazmul Siddique. "ASD Detection using Higuchi’s Fractal Dimension from EEG." In 2021 IEEE International Conference on Biomedical Engineering, Computer and Information Technology for Health (BECITHCON). IEEE, 2021. http://dx.doi.org/10.1109/becithcon54710.2021.9893548.

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