Fractal Analysis of Radiographic Trabecular Bone Texture and Bone Mineral Density: Two Complementary Parameters Related to Osteoporotic Fractures

Benhamou, Claude-Laurent; Poupon, S.; Lespessailles, Éric; Loiseau, Sylvie; Jennane, Rachid; Siroux, Valérie; Ohley, William J.; Pothuaud, Laurent

doi:10.1359/jbmr.2001.16.4.697

Cited by 141 publications

(87 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Fractal analysis has been largely used in medical applications [7,15,19,20,43]. In particular, it was used for the characterization and classification of mammogram density [19], the study of lesion detectability in mammogram textures [16,29], and the assessment of breast cancer risk [19,32].…”

Section: Introductionmentioning

confidence: 99%

Statistical Tests of Anisotropy for Fractional Brownian Textures. Application to Full-field Digital Mammography

Richard

Biermé

2009

J Math Imaging Vis

View full text Add to dashboard Cite

Abstract. In this paper, we propose a new and generic methodology for the analysis of texture anisotropy. The methodology is based on the stochastic modeling of textures by anisotropic fractional Brownian fields. It includes original statistical tests that permit to determine whether a texture is anisotropic or not. These tests are based on the estimation of directional parameters of the fields by generalized quadratic variations. Their construction is founded on a new theoretical result about the convergence of test statistics, which is proved in the paper. The methodology is applied to simulated data and discussed. We show that on a database composed of 116 full-field digital mammograms, about 60 percent of textures can be considered as anisotropic with a high level of confidence. These empirical results strongly suggest that anisotropic fractional Brownian fields are better-suited than the commonly used fractional Brownian fields to the modeling of mammogram textures.

show abstract

Section: Introductionmentioning

confidence: 99%

Statistical Tests of Anisotropy for Fractional Brownian Textures. Application to Full-field Digital Mammography

Richard

Biermé

2009

J Math Imaging Vis

View full text Add to dashboard Cite

show abstract

“…For example, fractal parameters have been used to characterize trabecular structure on 2-D radiographs 5,18,35,36 but have rarely been applied to three-dimensional CT data sets. [37][38][39] The five texture parameters used in this study are easy to calculate, and their use in isolation or in combination with BMD was able to distinguish the model type and to quantify the change in the trabecular bone structure.…”

Section: Oa-related Changes In Trabecular Bone T Lowitz Et Almentioning

confidence: 99%

Characterization of knee osteoarthritis-related changes in trabecular bone using texture parameters at various levels of spatial resolution—a simulation study

et al. 2014

View full text Add to dashboard Cite

Articular cartilage and subchondral bone are the key tissues in osteoarthritis (OA). The role of the cancellous bone increasingly attracts attention in OA research. Because of its fast adaptation to changes in the loading distribution across joints, its quantification is expected to improve the diagnosis and monitoring of OA. In this study, we simulated OA progression-related changes of trabecular structure in a series of digital bone models and then characterized the potential of texture parameters and bone mineral density (BMD) as surrogate measures to quantify trabecular bone structure. Five texture parameters were studied: entropy, global and local inhomogeneity, anisotropy and variogram slope. Their dependence on OA relevant structural changes was investigated for three spatial resolutions typically used in micro computed tomography (CT; 10 lm), high-resolution peripheral quantitative CT (HR-pQCT) (90 lm) and clinical whole-body CT equipment (250 lm). At all resolutions, OA-related changes in trabecular bone architecture can be quantified using a specific (resolution dependent) combination of three texture parameters. BMD alone is inadequate for this purpose but if available reduces the required texture parameter combination to anisotropy and global inhomogeneity. The results are summarized in a comprehensive analysis guide for the detection of structural changes in OA knees. In conclusion, texture parameters can be used to characterize trabecular bone architecture even at spatial resolutions below the dimensions of a single trabecula and are essential for a detailed classification of relevant OA changes that cannot be achieved with a measurement of BMD alone.

show abstract

“…[30][31][32][33] Speckle pattern can be considered a complex image due to the difficulty in describing it mathematically. 48 Thus, fractal approaches can be appropriate in the study of the behavior of a chaotic system such as speckle pattern.…”

Section: Speckle Pattern Processingmentioning

confidence: 99%

“…Actually, among many methods used to extract information from images of any kind, and in particular medical images, fractal methods are efficient candidates. [30][31][32][33][34] The flexibility, generality, and robustness of these methods make them adaptable to the treatment of real and complex signals. Of the fractal methods, fractional Brownian motion is commonly used.…”

Section: Introductionmentioning

confidence: 99%

Noninvasive radiation burn diagnosis using speckle phenomenon with a fractal approach to processing

2010

View full text Add to dashboard Cite

Abstract. Radiation burns account for the vast majority of damage by accidental radiation exposure. They are characterized by successive and unpredictable inflammatory bursts that are preceded by a clinically latent postirradiation period. Diagnosis and prognosis of the clinical course of radiation burns have proven to be a difficult task. In a classical clinical setting, no technique can distinguish irradiated versus healthy skin during the clinically latent period, hence development of new tools is required. This work describes a noninvasive technique based on speckle phenomenon, designed to support radiation burn diagnosis and prognosis. Speckle produced by strongly scattering media contains information about their optical properties. The difficulty is to extract significant information from speckle patterns to discriminate between strongly scattering media and to characterize any change. Speckle patterns from irradiated and nonirradiated porcine skins are recorded in vivo several times after radiation exposure. A fractal approach is used in the treatment of speckle patterns. The results show that this technique allows discrimination between healthy and irradiated skin, in particular during the clinically latent period ͑p Ͻ 0.01͒. Parameters extracted from speckle patterns discriminate and vary differently with radiation, which means they represent different information about skin changes.

show abstract

Fractal Analysis of Radiographic Trabecular Bone Texture and Bone Mineral Density: Two Complementary Parameters Related to Osteoporotic Fractures

Cited by 141 publications

References 42 publications

Statistical Tests of Anisotropy for Fractional Brownian Textures. Application to Full-field Digital Mammography

Statistical Tests of Anisotropy for Fractional Brownian Textures. Application to Full-field Digital Mammography

Characterization of knee osteoarthritis-related changes in trabecular bone using texture parameters at various levels of spatial resolution—a simulation study

Noninvasive radiation burn diagnosis using speckle phenomenon with a fractal approach to processing

Contact Info

Product

Resources

About