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Journal ArticleDOI

Fractal signature and lacunarity in the measurement of the texture of trabecular bone in clinical CT images

01 Jul 2001-Medical Engineering & Physics (Elsevier)-Vol. 23, Iss: 6, pp 369-380
TL;DR: The fractal signatures of small regions of interest (32x32 pixels), computed in the frequency domain after corrections for imaging system noise and MTF, were able to characterize the texture of vertebral trabecular bone in CT images.
About: This article is published in Medical Engineering & Physics.The article was published on 2001-07-01. It has received 89 citations till now. The article focuses on the topics: Fractal analysis & Lacunarity.
Citations
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Journal ArticleDOI
TL;DR: The aim of this review is to explain and to categorize the various algorithms into groups and their application in the field of medical signal analysis.

839 citations


Cites background from "Fractal signature and lacunarity in..."

  • ...In other studies (Dougherty, 2001; Dougherty and Henebry, 2001), lacunarity parameters were combined with the fractal signature to improve the healthy control/patient classification....

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Journal ArticleDOI
TL;DR: Methods to identify plants by analysing leaf complexity based on estimating their fractal dimension, using a computational program to process, analyze and extract the features of leaf images, thereby allowing for automatic plant identification.

238 citations

28 Sep 2014
TL;DR: The Biological and Medical Physics, Biomedical Engineering Series is intended to be comprehensive, covering a broad range of topics important to the study of the physical, chemical and biological sciences.
Abstract: The fields of biological and medical physics and biomedical engineering are broad, multidisciplinary and dynamic. They lie at the crossroads of frontier research in physics, biology, chemistry, and medicine. The Biological and Medical Physics, Biomedical Engineering Series is intended to be comprehensive, covering a broad range of topics important to the study of the physical, chemical and biological sciences. Its goal is to provide scientists and engineers with textbooks, monographs, and reference works to address the growing need for information.

166 citations

Journal ArticleDOI
01 Mar 2005-Botany
TL;DR: A small number of leaves per species was sufficient for establishing a characteristic pattern for each of them, which constitutes an important advantage of the method in the recognition and classification procedure.
Abstract: A new method is proposed for the extraction of morphometric characteristics of plant leaf structures. A sample of 10 species of the genus Passiflora (P. coriacea Juss., P. foetida L., P. miersii Ma...

164 citations


Cites background from "Fractal signature and lacunarity in..."

  • ...This approach has applications in botany (Bruno and Costa 2001), medicine (Dougherty and Henebry 2001), physics (López et al....

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Journal ArticleDOI
TL;DR: In this article, the authors used spectral and image features extracted from the hyperspectral scattering images over the wavelength region of 500-1000 nm, using spectral scattering profile and image analysis techniques.

160 citations

References
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Book
01 Jan 1982
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Abstract: "...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." Nature

24,199 citations


"Fractal signature and lacunarity in..." refers background in this paper

  • ...Even for images that are substantially fractal in nature perceptually quite different textures often produce similar estimates of fractal dimension [3,35], and fractal dimension is known to perform poorly in texture segmentation [46]....

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  • ...Lacunarity refers to the distribution of gap sizes in data: the greater the range in gap size distribution, the more lacunar the data [35]....

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  • ...Hence lacunarity by itself may be sufficient to characterize texture, resulting in a major advantage over fractal dimension [35,36]....

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Journal ArticleDOI
TL;DR: The3-D fractal model provides a characterization of 3-D surfaces and their images for which the appropriateness of the model is verifiable and this characterization is stable over transformations of scale and linear transforms of intensity.
Abstract: This paper addresses the problems of 1) representing natural shapes such as mountains, trees, and clouds, and 2) computing their description from image data. To solve these problems, we must be able to relate natural surfaces to their images; this requires a good model of natural surface shapes. Fractal functions are a good choice for modeling 3-D natural surfaces because 1) many physical processes produce a fractal surface shape, 2) fractals are widely used as a graphics tool for generating natural-looking shapes, and 3) a survey of natural imagery has shown that the 3-D fractal surface model, transformed by the image formation process, furnishes an accurate description of both textured and shaded image regions. The 3-D fractal model provides a characterization of 3-D surfaces and their images for which the appropriateness of the model is verifiable. Furthermore, this characterization is stable over transformations of scale and linear transforms of intensity. The 3-D fractal model has been successfully applied to the problems of 1) texture segmentation and classification, 2) estimation of 3-D shape information, and 3) distinguishing between perceptually ``smooth'' and perceptually ``textured'' surfaces in the scene.

1,919 citations


"Fractal signature and lacunarity in..." refers methods in this paper

  • ...D1, D2, D3 are estimates reported using the cell counting algorithm [5], the Fourier power spectrum algorithm [1], and the blanket algorithm [2] respectively)...

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Book
01 Aug 1988
TL;DR: Fractal Modelling of Real World Images and a Unified Approach to Fractal Curves and Plants are studied.
Abstract: Contents: Foreword: People and Events Behind the "Science of Fractal Images".- Fractals in Nature: From Characterization to Simulation.- Algorithms for Random Fractals.- Color Plates and Captions.- Fractal Patterns Arising in Chaotic Dynamical Systems.- Fantastic Deterministic Fractals.- Fractal Modelling of Real World Images.- Fractal Landscapes Without Creases and with Rivers.- An Eye for Fractals.- A Unified Approach to Fractal Curves and Plants.- Exploring the Mandelbrot Set.- Bibliography.- Index.

1,752 citations

Journal ArticleDOI
TL;DR: The system described in this work is based on a compact fan-beam type tomograph that can work in spiral scanning or multislice mode, and 3D stereological indices are extracted according to the standard definitions used in histomorphometry.
Abstract: Microtomography (micro-computed-tomography, μ-CT) is a method to image and quantify trabecular bone. It has the capability to address the role of trabecular architecture on the mechanical properties of bone and to study trabecular bone remodeling. The system described in this work is based on a compact fan-beam type tomograph that can work in spiral scanning or multislice mode. An X-ray tube with a microfocus is used as a source, a CCD-array as a detector. Samples with diameters from a few millimeters to a maximum of 14 mm can be measured, typically, bone biopsies with a diameter of 8 mm and a length of approximately 10 mm are measured. Spatial resolution is 28 μm. Usually the volume of interest contains 4×4×4 mm3 and is represented in 14×14×14 μm3 voxels. 3D stereological indices are extracted according to the standard definitions used in histomorphometry. Triangular surface representation is effected with an extended marching cube algorithm and forms a convenient basis for finite element analysis. Microtomographic measurements may be employed to “calibrate” lower-dose, lower-resolution imagesin vivo as well as to nondestructively assess unprocessed surgical bone biopsy specimens. These specimens remain intact for mechanical or histological testing.

904 citations