Fractal Surfaces

Russ, John C.

doi:10.1007/978-1-4899-2578-7

Cited by 407 publications

(199 citation statements)

References 206 publications

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“…Results to date have been mixed. Some studies have shown a positive correlation, some have shown a negative correlation and others still report no correlation at all [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Relationship between Fracture Toughness and Fracture Surface Fractal Dimension in AISI 4340 Steel

Carney¹,

Mecholsky²

2013

MSA

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This study analyzes the relationship between fracture toughness and the fracture surface fractal dimension for a set of twenty-four CT-type AISI 4340 steel specimens heat treated to a variety of tensile strengths. Specimens were tested in accordance with ASTM E 399. Their respective fracture surfaces were plated, polished, photographed under an SEM in BSE mode and measured according to the Richardson method to obtain fractal dimensions. For brittle materials the limited results are consistent with previous literature: increasing fractal dimension with increasing toughness. For partially or fully ductile materials the results indicate a decrease in fractal dimension with an increase in fracture toughness. The data are modeled using a variation of the function applied to ceramics. Fracture in a ductile mode is characterized by the formation of dimples which exhibit fractal characteristics. The results are discussed in terms of the micromechanisms of fracture.

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“…Results to date have been mixed. Some studies have shown a positive correlation, some have shown a negative correlation and others still report no correlation at all [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

“…Despite inconsistencies in the results, some general consensus is now emerging among researchers [4,[7][8][9][10][11][12][13][14][15][16][17]. Similar classes of materials are thought to exhibit similar behavior.…”

Section: Introductionmentioning

confidence: 99%

Relationship between Fracture Toughness and Fracture Surface Fractal Dimension in AISI 4340 Steel

Carney¹,

Mecholsky²

2013

MSA

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“…On the other one, the volumetric fractal features provide information regarding the morophology of the object of interest and this is directly related to physical properties like roughness, brightness distribution, porosity, etc. (Russ, 1994;Kube and Pentland, 1988). Furthermore, both methods are illumination and rotation invariant, as changes in the intensity (brightness) of pixels does not influence severely neither the frequency space or the morophology of the texture surface.…”

Section: Resultsmentioning

confidence: 99%

Gabor wavelets combined with volumetric fractal dimension applied to texture analysis

Zuñiga

Florindo

Bruno

2014

Pattern Recognition Letters

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a b s t r a c tTexture analysis and classification remain as one of the biggest challenges for the field of computer vision and pattern recognition. On this matter, Gabor wavelets has proven to be a useful technique to characterize distinctive texture patterns. However, most of the approaches used to extract descriptors of the Gabor magnitude space usually fail in representing adequately the richness of detail present into a unique feature vector. In this paper, we propose a new method to enhance the Gabor wavelets process extracting a fractal signature of the magnitude spaces. Each signature is reduced using a canonical analysis function and concatenated to form the final feature vector. Experiments were conducted on several texture image databases to prove the power and effectiveness of the proposed method. Results obtained shown that this method outperforms other early proposed method, creating a more reliable technique for texture feature extraction.

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“…12,13 The partially annealed samples are examined by X-ray di raction. We have analyzed the variation of: (1) intensity of the texture perovskite maximum (111) in regime theta-2 theta (CoK ); (2) integral intensity of the pyrochlore (222) maximum and nontexture perovskite (011) and (002) ones.…”

Section: Methodsmentioning

confidence: 99%

Influence of crystallization kinetics on texture of sol–gel PZT and BST thin films

Shur¹,

Blankova²,

Subbotin³

et al. 1999

Journal of the European Ceramic Society

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Fractal Surfaces

Cited by 407 publications

References 206 publications

Relationship between Fracture Toughness and Fracture Surface Fractal Dimension in AISI 4340 Steel

Relationship between Fracture Toughness and Fracture Surface Fractal Dimension in AISI 4340 Steel

Gabor wavelets combined with volumetric fractal dimension applied to texture analysis

Influence of crystallization kinetics on texture of sol–gel PZT and BST thin films

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