New approach to assessing fabric drape based on the fractal dimension

The usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicatorThe usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicatorPostprint (published version

Photon-counting imaging based double-random-phase encryption for information security and verification

The integration of photon-counting imaging techniques to optical encryption systems permits to increase information authentication robustness against intruder attacks. Photon-counting imaging generates distributions with only few photons and provides substantial bandwidth reduction by requiring only a sparse encrypted data. We show that photonlimited encrypted distributions have sufficient information for decryption, authentication and signal retrieval. Different approaches to compress the information on encrypted distributions are considered and analyzed.Authors thank the Ministerio de Ciencia e Innovación and FEDER for funding (project DPI2009-08879). B. Javidi acknowledges support from DARPA.Peer ReviewedPostprint (published version

New approach to assessing fabric drape based on the fractal dimension

The usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicatorThe usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicato

New approach to assessing fabric drape based on the fractal dimension

The usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicatorThe usefulness of the fractal dimension of drape (D) to explain the shape of fabrics acquired when allowed to fall freely under the effect of gravity was assessed by using the box-counting method to calculate it for comparison with the drape ratio (%DR) of 36 commercial woven fabrics spanning a wide range of composition, weave type and mass per square meter These two parameters were found to be highly correlated with %DR, varying over wide ranges and D over narrow ranges. Based on the results, the fractal nature of the drape does not significantly improve on the information about the drape shape in woven fabrics provided by the well-known indicato