A single specimen test using the three point single edge notched beam configuration at low temperatures for obtaining hot mix asphalt(HMA)resistance curves is developed.Resistance curves are obtained for mixtures at s...A single specimen test using the three point single edge notched beam configuration at low temperatures for obtaining hot mix asphalt(HMA)resistance curves is developed.Resistance curves are obtained for mixtures at six temperature levels of+5,0,5,10,15,and 20°C and three binder contents of 4%,4.5%,and 5%.Crack extension increments during the test are measured by means of an image processing technique using Radon transform and feature extraction.All the specimens exhibit a rising R-curve,indicating ductility and toughening mechanisms in the ductile-quasi brittle fracture of the mixture.It is observed that the reduction of temperature results in a further tendency of the mixture for unstable crack growth and less subcritical crack length.It is also shown that using the binarization process,an automatic index can be developed that can represent the extent of brittleness and extent of the low temperature in which the cracking has occurred.展开更多
The singular value decomposition is derived when the Radon transform is restricted to functions which are square integrable on the unit ball in R-n with respect to the weight W-lambda(x). It fulfilles mainly by means ...The singular value decomposition is derived when the Radon transform is restricted to functions which are square integrable on the unit ball in R-n with respect to the weight W-lambda(x). It fulfilles mainly by means of the projection-slice theorem. The range of the Radon transform is spanned by products of Gegenbauer polynomials and spherical harmonics. The inverse transform of the those basis functions are given. This immediately leads to an inversion formula by series expansion and range characterizations.展开更多
The article introduces radon transform of image as well as a method to calculate geometric moments under radon transform. By making use of the anti-interference character of Radontransform, this paper presents a metho...The article introduces radon transform of image as well as a method to calculate geometric moments under radon transform. By making use of the anti-interference character of Radontransform, this paper presents a method of extracting image's moment feature, which can get a moment feature matrix of image under Radon transform, as well as a method to recognize image by using the SV of this matrix.展开更多
文摘A single specimen test using the three point single edge notched beam configuration at low temperatures for obtaining hot mix asphalt(HMA)resistance curves is developed.Resistance curves are obtained for mixtures at six temperature levels of+5,0,5,10,15,and 20°C and three binder contents of 4%,4.5%,and 5%.Crack extension increments during the test are measured by means of an image processing technique using Radon transform and feature extraction.All the specimens exhibit a rising R-curve,indicating ductility and toughening mechanisms in the ductile-quasi brittle fracture of the mixture.It is observed that the reduction of temperature results in a further tendency of the mixture for unstable crack growth and less subcritical crack length.It is also shown that using the binarization process,an automatic index can be developed that can represent the extent of brittleness and extent of the low temperature in which the cracking has occurred.
文摘The singular value decomposition is derived when the Radon transform is restricted to functions which are square integrable on the unit ball in R-n with respect to the weight W-lambda(x). It fulfilles mainly by means of the projection-slice theorem. The range of the Radon transform is spanned by products of Gegenbauer polynomials and spherical harmonics. The inverse transform of the those basis functions are given. This immediately leads to an inversion formula by series expansion and range characterizations.
文摘The article introduces radon transform of image as well as a method to calculate geometric moments under radon transform. By making use of the anti-interference character of Radontransform, this paper presents a method of extracting image's moment feature, which can get a moment feature matrix of image under Radon transform, as well as a method to recognize image by using the SV of this matrix.
