On the Relations Between 2D and 3D Fractal Dimensions: Theoretical Approach and Clinical Application in Bone Imaging

DOI10.1051/MMNP:2008081zbMath1337.92122OpenAlexW2113098656MaRDI QIDQ2786752

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Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008081

zbMATH Keywords

medical imagingprojectionsectionsHausdorff measureosteoporosisMinkowski dimensions and contents

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Hausdorff and packing measures (28A78)

Related Items (1)

Multifractal modelling and 3D lacunarity analysis

Cites Work

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• Smooth maps, null-sets for integralgeometric measure and analytic capacity
• Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
• Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
• Hausdorff dimension, orthogonal projections and intersections with planes
• Projection theorems for box and packing dimensions
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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