Numerical methods which utilize partitions of equal-size, including the box-counting method, remain the most popular choice for computing the generalized dimension of multifractal sets. However, it is known that mass-oriented methods generate relatively good results for computing generalized dimensions for important cases where the box-counting method is known to fail. Here, we revisit two mass-oriented methods and discuss their strengths and limitations.
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http://dx.doi.org/10.1063/1.4885778 | DOI Listing |
Life (Basel)
November 2024
Departments of Radiation Oncology, Korea University Guro Hospital, Korea University College of Medicine, Seoul 08308, Republic of Korea.
We aimed to develop imaging biomarkers to predict radiation pneumonitis (RP) in non-small cell lung cancer (NSCLC) patients undergoing thoracic radiotherapy. We hypothesized that measuring morphometric complexity in the lung using simulation computed tomography may provide objective imaging biomarkers for lung parenchyma integrity, potentially forecasting the risk of RP. A retrospective study was performed on medical records of 175 patients diagnosed with NSCLC who had received thoracic radiotherapy.
View Article and Find Full Text PDFOral Radiol
November 2024
Department of Oral and Maxillofacial Radiology, Faculty of Dentistry, Ordu University, Ordu, Turkey.
Objectives: Introduction Fractal analysis (FA) is a computational method used to quantify the complex trabecular structure of bone. While FA has been widely applied in dentistry, there are challenges in standardizing the technique due to factors such as image resolution, region of interest (ROI) selection, and image processing. This study aimed to investigate the impact of the direction of ROI selection (DROIS) on fractal dimension (FD) calculations.
View Article and Find Full Text PDFJ Contemp Dent Pract
June 2024
Department of Oral Medicine and Radiology, KMCT Dental College, Mukkam, Kerala, India-673602, Orcid: https://orcid.org/0000-0002-3339-0565.
Dent J (Basel)
August 2024
Division of Oral and Maxillofacial Radiology, College of Dentistry, The Ohio State University, Columbus, OH 43210, USA.
Objective: The primary goal of this investigation was to ascertain the efficacy of the CALM motion artifact reduction algorithm in diminishing motion-induced blurriness in Cone Beam Computed Tomography [CBCT] images. The assessment was conducted through Fractal Dimension [FD] analysis of the trabecular bone.
Methods And Materials: A desiccated human mandible was subjected to Planmeca ProMax 3D scanning under eight distinct protocols, marked by variations in motion presence [at 5, 10, and 15 degrees] and the deployment of CALM.
J Mech Behav Biomed Mater
November 2024
School of Science, Shandong Jiaotong University, 250357, Jinan, China.
The outstanding mechanical properties of lobster claw exoskeletons are intricately tied to their internal microstructure. Investigating this relationship can offer vital insights for designing high-performance additive manufacturing structures. Fractal theory, with its fractional dimensional perspective, suits the complexity of real-world phenomena.
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