On the validity of the slit islands analysis in the measure of fractal dimension of fracture surfaces

Lu, Chunsheng

doi:10.1007/bf00037390

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…Self-affine patterns create multiple FDs (Lu, 1995), so only self similar islands should be processed. This is a limitation of the SIM, which reduces application area to specific objects only.…”

Section: Negative Fd For An Island With Lakesmentioning

confidence: 99%

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

Mazurek

Azurek

2014

International Journal of Applied Mathematics and Computer Science

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The Slit Island Method (SIM) is a technique for the estimation of the fractal dimension of an object by determining the areaperimeter relations for successive slits. The SIM could be applied for image analysis of irregular grayscale objects and their classification using the fractal dimension. It is known that this technique is not functional in some cases. It is emphasized in this paper that for specific objects a negative or an infinite fractal dimension could be obtained. The transformation of the input image data from unipolar to bipolar gives a possibility of reformulated image analysis using the Ising model context. The polynomial approximation of the obtained area-perimeter curve allows object classification. The proposed technique is applied to the images of cervical cell nuclei (Papanicolaou smears) for the preclassification of the correct and atypical cells.

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Section: Negative Fd For An Island With Lakesmentioning

confidence: 99%

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

Mazurek

Azurek

2014

International Journal of Applied Mathematics and Computer Science

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Effects of the structural components on slow crack growth process in polyethylene blends. Composition intervals prediction for pipe applications

García

Carrero

Martı́n

et al. 2011

J of Applied Polymer Sci

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A linear low density polyethylene (LLDPE) obtained from a metallocene based catalyst, was blended in an extruder with a high density polyethylene (HDPE) homopolymer synthesized with an iron based catalyst. The bimodal polyethylenes, made with blends from 0 to 100 wt % of copolymer were characterized by SEC, DSC, ESEM, SEC-FTIR, and TREF, while their resistance to the slow crack growth (SCG) was evaluated through the PENT test. Results provide that polymer blends with copolymer contents between 47.5 and 72.5 wt % are suitable for pipe applications. Furthermore, a method based on the intercrystalline tie chains calculus is proposed as suitable and attractive, because of its simplicity and novelty, to forecast long term performance and to predict capabilities.

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Sensitivity of Area–Perimeter Relation for Image Analysis and Image Segmentation Purposes

Oszutowska–Mazurek

Mazurek

2016

Hard and Soft Computing for Artificial Intelligence, Multimedia and Security

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On the validity of the slit islands analysis in the measure of fractal dimension of fracture surfaces

Cited by 4 publications

References 12 publications

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

Effects of the structural components on slow crack growth process in polyethylene blends. Composition intervals prediction for pipe applications

Sensitivity of Area–Perimeter Relation for Image Analysis and Image Segmentation Purposes

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