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  1. 1521
    por Li, Ruihua, Gu, Haojie, Hu, Bo, She, Zhifeng
    Publicado 2019
    “…Firstly, the different damage features were extracted from time domain, frequency domain, and fractal dimension of lamb wave signals, respectively. …”
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    Multi-feature Fusion and Damage Identification of Large Generator Stator Insulation Based on Lamb Wave Detection and SVM Method
  2. 1522
    “…Following screening, 43 articles out of the initial 1100 were reviewed including 33 articles on sample entropy, 10 articles on fractal dimension, and 4 papers on the Lyapunov exponent. …”
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    Nonlinear Measures to Evaluate Upright Postural Stability: A Systematic Review
  3. 1523
    “…The paper delves into the plausibility of applying fractal, spectral, and nonlinear time series analyses for lung auscultation. …”
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    Unwrapping the phase portrait features of adventitious crackle for auscultation and classification: a machine learning approach
  4. 1524
    por Molinero, Carlos, Thurner, Stefan
    Publicado 2021
    “…In this work, we derive the basic exponents for spatially distributed variables from fundamental fractal geometric relations in cities. Sub-linear scaling arises as the ratio of the fractal dimension of the road network and of the distribution of the population embedded in three dimensions. …”
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    How the geometry of cities determines urban scaling laws
  5. 1525
    “…We analyze the complexity of images from the point of view of color entropy and color fractal dimension and for color fractal images and the Berkeley data set we correlate these two metrics with the segmentation results, more specifically the number of quasi-flat zones and the number of JSEG regions in the resulting segmentation map. …”
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    Color Image Complexity versus Over-Segmentation: A Preliminary Study on the Correlation between Complexity Measures and Number of Segments
  6. 1526
    “…Soils containing minerals of higher surface fractal dimensions (rougher surfaces) were more mechanically resistant. …”
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    Structure and Strength of Artificial Soils Containing Monomineral Clay Fractions
  7. 1527
    “…Measures of signal complexity, such as the Hurst exponent, the fractal dimension, and the Spectrum of Lyapunov exponents, are used in time series analysis to give estimates on persistency, anti-persistency, fluctuations and predictability of the data under study. …”
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    Combining Measures of Signal Complexity and Machine Learning for Time Series Analyis: A Review
  8. 1528
    “…The biodegradation was monitored by gravimetrical measurements, SEM microscopy and fractal analyses of the images. The fractal dimension values and the lacunarity of SEM pictures were accurately calculated. …”
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    Biocompatible Chitosan-Based Hydrogels for Bioabsorbable Wound Dressings
  9. 1529
    “…The fractal relation to the generation of forms (morphogenesis) and to the transition from form to form (metamorphosis) is commented. …”
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    On Collective Molecular Dynamics in Biological Systems: A Review of Our Experimental Observations and Theoretical Modeling
  10. 1530
    por Yang, Qingzhu, Zhang, Zhihua
    Publicado 2022
    “…In this paper, we developed two simple, lattice-based models that mimic polymer fiber decondensation from initial fractal or anisotropic condensed status, using Markov Chain Monte Carlo (MCMC) methods. …”
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    Lattice simulation-based diffusion modelling of 3D chromatin structure
  11. 1531
    “…The polarized optical microscopy (POM) pictures of the three representative formulations obtained were investigated by fractal analysis. The fractal dimension and lacunarity of each of them were thus calculated. …”
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    A Multifractal Vision of 5-Fluorouracil Release from Chitosan-Based Matrix
  12. 1532
    por Pikovsky, Arkady, Tsimring, Lev S.
    Publicado 2023
    “…We show that for a large class of deterministic ADS rules the trajectories of damage along the lineages are chaotic, and the distributions of damage in cells born at a given time asymptotically becomes fractal. By exploiting the analogy of linear ADS models with the Iterated Function Systems known in chaos theory, we derive the Frobenius-Perron equation for the stationary damage density distribution and analytically compute the damage distribution moments and fractal dimensions. …”
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    Statistical Theory of Asymmetric Damage Segregation in Clonal Cell Populations
  13. 1533
    “…As a toy model of PNN, we consider fractal lattice with Ising and XY model applied. More precise study requires application of the quantum electrodynamics on the lattice. …”
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    Field theory model of brain extracellular matrix
  14. 1534
    “…Moreover, the thickness and fractal dimension parameters of the retinal nerve fiber layer, photoreceptor outer segments and retinal pigment epithelium show promise for the diagnostic classification between diabetic eyes with and with no mild retinopathy.…”
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    Automated classifiers for early detection and diagnosis of retinopathy in diabetic eyes
  15. 1535
    “…Overall root architecture was modeled by root angle (RA) and stem diameter (SD), while root complexity, the amount of root branching, was quantified using fractal analysis to obtain values for fractal dimension (FD) and fractal abundance (FA). …”
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    Characterization of mature maize (Zea mays L.) root system architecture and complexity in a diverse set of Ex-PVP inbreds and hybrids
  16. 1536
    “…The pattern along the transect displays fractal characteristics, consistent with a dimension of 0.24–0.29. …”
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    Campanula lingulata populations on Mt. Olympus, Greece: where’s the “abundant centre”?
  17. 1537
    “…Following rehabilitation, naturally revegetated grassland and shrub land had lower fractal dimensions of particle size distribution (fractal dimensions of PSD), fractal dimensions of micro-aggregation, and erodibility (K factor) than did cropland. …”
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    Rehabilitation time has greater influences on soil mechanical composition and erodibility than does rehabilitation land type in the hilly-gully region of the Loess Plateau, China
  18. 1538
    “…Imaging features are extracted from magnetic resonance imaging data and include texture features, fractal and multi-resolution fractal texture features, and volumetric features. …”
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    Prediction of Molecular Mutations in Diffuse Low-Grade Gliomas using MR Imaging Features
  19. 1539
    “…Increased standardized systolic BP was associated with narrower central retinal arteriolar equivalents (β=−2.276 µm, P<0.001), wider central retinal venular equivalents (1.177, P=0.007), and decreased arteriolar fractal dimensions (β=−0.004, P=0.034). Children with obesity had the smallest arteriolar fractal dimensions compared with children with overweightness and normal weight (1.211, 1.234, and 1.240; P‐trend=0.004). …”
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    Independent and Synergistic Effects of High Blood Pressure and Obesity on Retinal Vasculature in Young Children: The Hong Kong Children Eye Study
  20. 1540
    “…Using convolutional neural networks to segment the retinal microvasculature, we calculated vascular density and fractal dimension as a measure of vascular branching complexity. …”
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    Deep Learning of the Retina Enables Phenome- and Genome-Wide Analyses of the Microvasculature
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