We present a method to build fractal structures, which is based on the use of periodic domains. I... more We present a method to build fractal structures, which is based on the use of periodic domains. In previous works we used binary (or digital) periodic functions as components, which permit us to obtain Cantor, Sierpinski and Koch fractals through a product superposition. In this paper, an extension of these results, for the case of continuous (or analog) periodic components,
The study of properties for the patterns obtained when two Cantor grids are superimposed is impor... more The study of properties for the patterns obtained when two Cantor grids are superimposed is important for establishing the relationships between the geometry of each fractal grating and the corresponding structure of the superposition. Here, we obtain the mathematical expressions for the characteristic parameters (period and direction of fringes) for the moiré effect, when Cantor grids, built with periodic functions,
In the present work a computer simulation to obtain the self-imaging position (Talbot effect), of... more In the present work a computer simulation to obtain the self-imaging position (Talbot effect), of a product of scaled cosenoidal functions, is developed. Also, for such resulting functions is shown that they have a fractal behavior, through the calculation of the fractal dimension. The self-images of each cosenoidal component are obtained as well as the self-images of the product, and
The concept of directional fractal dimension is introduced, based on the method of parallel lines... more The concept of directional fractal dimension is introduced, based on the method of parallel lines which is applied to curves. The calculations are carried out on two perpendicular direction, considering the contours of the image. The results are applied to irregular structures and it is compared with the box-counting dimension in each case.
We study the degree of fractality for the electromagnetic field diffracted from gratings and zone... more We study the degree of fractality for the electromagnetic field diffracted from gratings and zone plates with internal Cantor structure. This fractality is determined by the correlation peaks which appear in the self-similarity function for the intensity distribution of the field. The results are complementary to the study of the homogeneity property, presented in a previous work (7).
In the present work we study the fractality of the structure obtained when two Cantor grids are s... more In the present work we study the fractality of the structure obtained when two Cantor grids are superimposed for different relative angular displacements and, as a special case, the moiré structures obtained either in the complete structure as in the normalized fringe profiles. We use the box-counting technique for the case of two grids with arbitrary fractal dimensions.
We extend the results obtained for different cases of the product superposition of periodic funct... more We extend the results obtained for different cases of the product superposition of periodic functions, and the determination of the scattered fields, for the case of circular symmetry. The characteristics of focalization for such cases are studied. We name Cantor-Fresnel zone plate the structures obtained with this method. Also, in this study can be included the focalization by periodic, Cantor,
We present here a system (hardware+software) for telemicroscopy and telecolposcopy, which can be ... more We present here a system (hardware+software) for telemicroscopy and telecolposcopy, which can be extended for other pathological studies. Their application is intended for the support of the diagnostics and treatment of patients in remote zones within Mexico, without having to spend the resources associated with transporting them to the cities or towns where this instruments and techniques are available. This
Small and Medium-Sized Enterprises play determinant roles in countries with developed economies. ... more Small and Medium-Sized Enterprises play determinant roles in countries with developed economies. Since year 2000, The Federal Government in Mexico is trying to launch technological innovation as the engine of progress and economical growth and it is encouraging SMEs to adopt strategies involving technology management and innovation. In this paper, the case of Sofilab, a Mexican small business that has
4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, 2001
In this work, we superimpose tow and more random images of irregular particles, using different s... more In this work, we superimpose tow and more random images of irregular particles, using different statistics and concentration for the texture distributions. This is achieved using different random generators to obtain binary images in the distribution of these particles. For these case, ...
We use the method for building fractal functions, from periodic scaled components, for the genera... more We use the method for building fractal functions, from periodic scaled components, for the generation of optical and electronics fractal signals. For the processing, we consider the conditions for the application of the Shannon-Whittaker theorem for such cases. We use an expression of the sampling theorem for periodic (band- limited) functions.
Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences)... more Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints
In this work, we superimpose tow and more random images of irregular particles, using different s... more In this work, we superimpose tow and more random images of irregular particles, using different statistics and concentration for the texture distributions. This is achieved using different random generators to obtain binary images in the distribution of these particles. For these case, ...
Conformal mapping approximation to scattering from surfaces with Koch corrugation. [Proceedings o... more Conformal mapping approximation to scattering from surfaces with Koch corrugation. [Proceedings of SPIE 4100, 211 (2000)]. Mario M. Lehman, Diana Calva Mendez. Abstract. The method of conformal mapping, through the Schwartz ...
Abstract: -. The current situation of most Small and Medium Enterprises (SMEs) in Mexico does not... more Abstract: -. The current situation of most Small and Medium Enterprises (SMEs) in Mexico does not allow them to perform activities that will lead them to shift from commercial to Technological Based Enterprises (TBEs). This, among other factors is due to the education level of their ...
We present a method to build fractal structures, which is based on the use of periodic domains. I... more We present a method to build fractal structures, which is based on the use of periodic domains. In previous works we used binary (or digital) periodic functions as components, which permit us to obtain Cantor, Sierpinski and Koch fractals through a product superposition. In this paper, an extension of these results, for the case of continuous (or analog) periodic components,
The study of properties for the patterns obtained when two Cantor grids are superimposed is impor... more The study of properties for the patterns obtained when two Cantor grids are superimposed is important for establishing the relationships between the geometry of each fractal grating and the corresponding structure of the superposition. Here, we obtain the mathematical expressions for the characteristic parameters (period and direction of fringes) for the moiré effect, when Cantor grids, built with periodic functions,
In the present work a computer simulation to obtain the self-imaging position (Talbot effect), of... more In the present work a computer simulation to obtain the self-imaging position (Talbot effect), of a product of scaled cosenoidal functions, is developed. Also, for such resulting functions is shown that they have a fractal behavior, through the calculation of the fractal dimension. The self-images of each cosenoidal component are obtained as well as the self-images of the product, and
The concept of directional fractal dimension is introduced, based on the method of parallel lines... more The concept of directional fractal dimension is introduced, based on the method of parallel lines which is applied to curves. The calculations are carried out on two perpendicular direction, considering the contours of the image. The results are applied to irregular structures and it is compared with the box-counting dimension in each case.
We study the degree of fractality for the electromagnetic field diffracted from gratings and zone... more We study the degree of fractality for the electromagnetic field diffracted from gratings and zone plates with internal Cantor structure. This fractality is determined by the correlation peaks which appear in the self-similarity function for the intensity distribution of the field. The results are complementary to the study of the homogeneity property, presented in a previous work (7).
In the present work we study the fractality of the structure obtained when two Cantor grids are s... more In the present work we study the fractality of the structure obtained when two Cantor grids are superimposed for different relative angular displacements and, as a special case, the moiré structures obtained either in the complete structure as in the normalized fringe profiles. We use the box-counting technique for the case of two grids with arbitrary fractal dimensions.
We extend the results obtained for different cases of the product superposition of periodic funct... more We extend the results obtained for different cases of the product superposition of periodic functions, and the determination of the scattered fields, for the case of circular symmetry. The characteristics of focalization for such cases are studied. We name Cantor-Fresnel zone plate the structures obtained with this method. Also, in this study can be included the focalization by periodic, Cantor,
We present here a system (hardware+software) for telemicroscopy and telecolposcopy, which can be ... more We present here a system (hardware+software) for telemicroscopy and telecolposcopy, which can be extended for other pathological studies. Their application is intended for the support of the diagnostics and treatment of patients in remote zones within Mexico, without having to spend the resources associated with transporting them to the cities or towns where this instruments and techniques are available. This
Small and Medium-Sized Enterprises play determinant roles in countries with developed economies. ... more Small and Medium-Sized Enterprises play determinant roles in countries with developed economies. Since year 2000, The Federal Government in Mexico is trying to launch technological innovation as the engine of progress and economical growth and it is encouraging SMEs to adopt strategies involving technology management and innovation. In this paper, the case of Sofilab, a Mexican small business that has
4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, 2001
In this work, we superimpose tow and more random images of irregular particles, using different s... more In this work, we superimpose tow and more random images of irregular particles, using different statistics and concentration for the texture distributions. This is achieved using different random generators to obtain binary images in the distribution of these particles. For these case, ...
We use the method for building fractal functions, from periodic scaled components, for the genera... more We use the method for building fractal functions, from periodic scaled components, for the generation of optical and electronics fractal signals. For the processing, we consider the conditions for the application of the Shannon-Whittaker theorem for such cases. We use an expression of the sampling theorem for periodic (band- limited) functions.
Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences)... more Not Available Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints
In this work, we superimpose tow and more random images of irregular particles, using different s... more In this work, we superimpose tow and more random images of irregular particles, using different statistics and concentration for the texture distributions. This is achieved using different random generators to obtain binary images in the distribution of these particles. For these case, ...
Conformal mapping approximation to scattering from surfaces with Koch corrugation. [Proceedings o... more Conformal mapping approximation to scattering from surfaces with Koch corrugation. [Proceedings of SPIE 4100, 211 (2000)]. Mario M. Lehman, Diana Calva Mendez. Abstract. The method of conformal mapping, through the Schwartz ...
Abstract: -. The current situation of most Small and Medium Enterprises (SMEs) in Mexico does not... more Abstract: -. The current situation of most Small and Medium Enterprises (SMEs) in Mexico does not allow them to perform activities that will lead them to shift from commercial to Technological Based Enterprises (TBEs). This, among other factors is due to the education level of their ...
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Papers by Diana Mendez