Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools
Structured and complex data can be found in many applications in research and development, and also in industrial practice. We developed a methodology for describing the structured data complexity and applied it in development and industrial practice. The methodology uses fractal dimension together...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/435935 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561809209425920 |
|---|---|
| author | Vlastimil Hotar Petr Salac |
| author_facet | Vlastimil Hotar Petr Salac |
| author_sort | Vlastimil Hotar |
| collection | DOAJ |
| description | Structured and complex data can be found in many applications in research and development, and also in industrial practice. We developed a methodology for describing the structured data complexity and applied it in development and industrial practice. The methodology uses fractal dimension together with statistical tools and with software modification is able to analyse data in a form of sequence (signals, surface roughness), 2D images, and dividing lines. The methodology had not been tested for a relatively large collection of data. For this reason, samples with structured surfaces produced with different technologies and properties were measured and evaluated with many types of parameters. The paper intends to analyse data measured by a surface roughness tester. The methodology shown compares standard and nonstandard parameters, searches the optimal parameters for a complete analysis, and specifies the sensitivity to directionality of samples for these types of surfaces. The text presents application of fractal geometry (fractal dimension) for complex surface analysis in combination with standard roughness parameters (statistical tool). |
| format | Article |
| id | doaj-art-e59489832a7748948f346b8704756182 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e59489832a7748948f346b87047561822025-02-03T01:24:15ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/435935435935Surface Evaluation by Estimation of Fractal Dimension and Statistical ToolsVlastimil Hotar0Petr Salac1Department of Glass Producing Machines and Robotics, Technical University of Liberec, Studentská 1402/2, 461 17 Liberec, Czech RepublicDepartment of Mathematics and Didactics of Mathematics, Technical University of Liberec, Studentská 1402/2, 461 17 Liberec, Czech RepublicStructured and complex data can be found in many applications in research and development, and also in industrial practice. We developed a methodology for describing the structured data complexity and applied it in development and industrial practice. The methodology uses fractal dimension together with statistical tools and with software modification is able to analyse data in a form of sequence (signals, surface roughness), 2D images, and dividing lines. The methodology had not been tested for a relatively large collection of data. For this reason, samples with structured surfaces produced with different technologies and properties were measured and evaluated with many types of parameters. The paper intends to analyse data measured by a surface roughness tester. The methodology shown compares standard and nonstandard parameters, searches the optimal parameters for a complete analysis, and specifies the sensitivity to directionality of samples for these types of surfaces. The text presents application of fractal geometry (fractal dimension) for complex surface analysis in combination with standard roughness parameters (statistical tool).http://dx.doi.org/10.1155/2014/435935 |
| spellingShingle | Vlastimil Hotar Petr Salac Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools The Scientific World Journal |
| title | Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools |
| title_full | Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools |
| title_fullStr | Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools |
| title_full_unstemmed | Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools |
| title_short | Surface Evaluation by Estimation of Fractal Dimension and Statistical Tools |
| title_sort | surface evaluation by estimation of fractal dimension and statistical tools |
| url | http://dx.doi.org/10.1155/2014/435935 |
| work_keys_str_mv | AT vlastimilhotar surfaceevaluationbyestimationoffractaldimensionandstatisticaltools AT petrsalac surfaceevaluationbyestimationoffractaldimensionandstatisticaltools |