Perfect imaging analysis of the spherical geodesic waveguide

Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit. This optical system transmits the electromagnetic fields, emitted by an object plane, towards an image plane producing the same field distribution in both planes. In particular, a Dirac delta electric field in the object plane is focused without diffraction limit to the Dirac delta electric field in the image plane. Two devices with positive refraction, the Maxwell Fish Eye lens (MFE) and the Spherical Geodesic Waveguide (SGW) have been claimed to break the diffraction limit using positive refraction with a different meaning. In these cases, it has been considered the power transmission from a point source to a point receptor, which falls drastically when the receptor is displaced from the focus by a distance much smaller than the wavelength. Although these systems can detect displacements up to ?/3000, they cannot be compared to the NRL, since the concept of image is different. The SGW deals only with point source and drain, while in the case of the NRL, there is an object and an image surface. Here, it is presented an analysis of the SGW with defined object and image surfaces (both are conical surfaces), similarly as in the case of the NRL. The results show that a Dirac delta electric field on the object surface produces an image below the diffraction limit on the image surface.

Asociación entre caracteres biométricos y calidad fisiológica en semillas de tomate (Solanum lycopersicum L.)

La clasificación de las semillas de especies olerícolas se realiza principalmente por peso y tamaño, con criterios similares a los aplicados en cereales y leguminosas, en que se asocia positivamente estos atributos físicos con la calidad fisiológica. No obstante lo anterior, en diversas especies de hortalizas la información es escasa y contradictoria al respecto, lo que motiva la realización de la presente investigación. En semillas de tomate (Solanum lycopersicum L.) se determinó el efecto del peso y tamaño sobre la calidad fisiológica expresada como germinación y vigor. Además, se correlacionaron los resultados de las pruebas de evaluación de calidad fisiológica y se describieron variables del crecimiento y desarrollo. Se utilizaron lotes de diferentes variedades de semillas híbridas de cuatro temporadas, producidas en un clima templado cálido con lluvias invernales y estación seca prolongada (32º 54’ y 34° 21´ latitud Sur). Se midió peso y tamaño de semillas, además en dos temporadas se evaluaron las características internas de área y peso de embrión y área de endospermo. Se determinó la calidad de las semillas con la prueba de germinación y según fuera el año de estudio se midió vigor con las pruebas de envejecimiento acelerado, de plantas útiles al trasplante y de plántulas emergidas. Con análisis de imágenes y rayos X se extrajeron datos del tamaño externo e interno de las semillas y plántulas. Los lotes se compararon mediante análisis de varianza y las medias con la prueba de Tukey, la asociación entre dos variables se determinó con correlaciones de Pearson, las variables de peso y tamaño de la semilla y su relación con las pruebas de calidad, se analizaron mediante regresiones múltiples. Se utilizó un nivel de significación de 0,05 de probabilidad. Los resultados indicaron que el tamaño y no el peso de las semillas de tomate, diferenciaron calidad entre lotes en las diversas variedades. La prueba de germinación tuvo una baja sensibilidad para discriminar lotes, además de una escasa correlación con las características físicas de las semillas, cuando hubo asociación, la relación fue débil y negativa. La prueba de vigor de envejecimiento acelerado diferenció lotes y presentó escasa asociación con las características físicas de las semillas. El número de semillas germinadas en la prueba de envejecimiento acelerado se explicó por el efecto del tamaño de las semillas, mientras que las fracciones de descarte se asociaron con el peso de las mismas. La prueba de vigor de plantas útiles al trasplante no discriminó entre lotes. Tuvo una asociación débil con el peso y tamaño de las semillas. El modelo asociado a esta relación explicó con un alto coeficiente de determinación que el peso de la semilla influyó sobre la emergencia temprana, mientras que la relación fue menor y negativa con plantas de mayor desarrollo. La prueba de vigor de plántulas emergidas discriminó lotes de semillas con plántulas de 3 a 5 días después de siembra. Hubo escasa y débil asociación entre esta prueba y las características de peso y tamaño las semillas. El modelo de predicción de plántulas emergidas fue particular en cada temporada, cuando hubo un coeficiente de determinación alto influyó negativamente el peso o tamaño de la semilla. Entre las pruebas de calidad fisiológica evaluadas en semillas de tomate hubo escasas correlaciones significativas. Entre germinación y vigor las correlaciones significativas fueron débiles y sólo se encontraron en algunas temporadas de evaluación. Entre las pruebas de vigor no hubo asociación. En las pruebas de vigor de plantas útiles al trasplante y de plántulas emergidas, los cotiledones alcanzaron el mayor porcentaje de materia seca y se correlacionaron fuertemente con la materia seca total. En la prueba de plántulas emergidas la materia seca de las radículas diferenció parcialmente lotes de semillas al igual que la longitud total y de las radículas. La longitud de la radícula se correlacionó fuertemente con la longitud total de plántulas. ABSTRACT Seed selection for olericultural species is mainly carried out considering weight and size with similar criteria to those applied in cereals and legumes where size and physiological quality are favorably associated. However, information about several species is limited and contradictory regarding the above, leading to the present research. In tomato (Solanum lycopersicum L.) seeds, the effect of weight and size on the physiological quality expressed as germination and vigor was determined. In addition, results of quality evaluation tests were correlated and variables of growth and development were described. Batches of hybrid seeds from four seasons were used. These seeds were produced in a mild warm climate with winter rainfalls and long dry season (32º 54’ and 34° 21´South Latitude). Seed weight and size were determined, additionally internal characteristics such as embryo area and weight as well as endosperm area were evaluated in two seasons. The quality of seeds was established using the germination test and, depending on the year of the study, vigor was measured through accelerated aging tests for plants useful for transplanting and emerged seedlings. Using imaging analysis and X rays, data regarding external and internal size of seeds and seedlings were obtained. Batches were compared through ANOVA and means using Tukey’s test; the association between both variables was determined with Pearson correlations, whereas variables of seed weight and size and their relation to quality tests were analyzed through multiple regressions. A significance level of 0.05 probability was used. Results showed that the size (but not the weight) of tomatoes differentiates quality between batches from several seasons. The germination test was not sensitive enough to discriminate batches in addition to having a limited correlation with the characteristics of seeds, when they were associated, the relation was weak and unfavorable. Vigor test for accelerated aging made the difference between batches and presented low association with physical characteristics of the seeds. The number of germinated seeds in the accelerated aging test was explained by the effect of the seed size, whereas cull fractions were associated with their weight. The vigor test of plants useful for transplanting did not discriminate between batches. The association with seed weight and size was weak. The model associated to this relation explained, with a high coefficient determination, that the seed weight had influence on early emergence, whereas the relation was minor and unfavorable with more developed plants. Vigor test of emerged seedlings discriminated batches of seeds with seedlings of 3 to 5 days after sowing. There was a limited and weak association between this test and the characteristics of seed weight and size. The prediction model for seedlings emerged was particular in each season, when the determination coefficient was high, seed weight and size influenced negatively. Among the physiological quality tests evaluated in tomato seeds, significant correlations were negligible. Between germination and vigor, significant correlations were poor, being only found in some evaluation seasons. There was no association in the vigor tests. In vigor tests for plants useful for transplanting and emerged seedlings, cotyledons reached the highest percentage of dry matter and were strongly correlated with total dry matter. In the test of emerged seedlings, dry matter of radicles partially differentiated batches of seeds as well as total length and radicles. Radicle length was strongly correlated with total seedlings length.

Analysis of Super Imaging Properties of Spherical Geodesic Waveguide Using COMSOL Multyphisics

Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit using materials of negative dielectric and magnetic constants. Recently, two devices with positive refraction, the Maxwell Fish Eye lens (MFE) (Leonhardt et al 2000) and the Spherical Geodesic Waveguide (SGW)(Minano et all 2011) have been claimed to break the diffraction limit using positive refraction with a different meaning. In these cases, it has been considered the power transmission from a point source to a point receptor, which falls drastically when the receptor is displaced from the focus by a distance much smaller than the wavelength. Moreover, recent analysis of the SGW with defined object and image surfaces, which are both conical sections of the sphere, has shown that the system transmits images bellow diffraction limit. The key assumption is the use of a perfectly absorbing receptor called perfect drain. This receptor is capable to absorb all the radiation without reflection or scattering. Here, it is presented the COMSOL analysis of the SGW using a perfect drain that absorbs perfectly two modes. The design procedure for PD capable to absorb k modes is proposed, as well.

Detection and quantification of peanut traces in wheat flour by near infrared hyperspectral imaging spectroscopy using principal-component analysis

The use of a common environment for processing different powder foods in the industry has increased the risk of finding peanut traces in powder foods. The analytical methods commonly used for detection of peanut such as enzyme-linked immunosorbent assay (ELISA) and real-time polymerase chain reaction (RT-PCR) represent high specificity and sensitivity but are destructive and time-consuming, and require highly skilled experimenters. The feasibility of NIR hyperspectral imaging (HSI) is studied for the detection of peanut traces down to 0.01% by weight. A principal-component analysis (PCA) was carried out on a dataset of peanut and flour spectra. The obtained loadings were applied to the HSI images of adulterated wheat flour samples with peanut traces. As a result, HSI images were reduced to score images with enhanced contrast between peanut and flour particles. Finally, a threshold was fixed in score images to obtain a binary classification image, and the percentage of peanut adulteration was compared with the percentage of pixels identified as peanut particles. This study allowed the detection of traces of peanut down to 0.01% and quantification of peanut adulteration from 10% to 0.1% with a coefficient of determination (r2) of 0.946. These results show the feasibility of using HSI systems for the detection of peanut traces in conjunction with chemical procedures, such as RT-PCR and ELISA to facilitate enhanced quality-control surveillance on food-product processing lines.

Application of Independent Components Analysis with the JADE algorithm and NIR hyperspectral imaging for revealing food adulteration

In recent years, Independent Components Analysis (ICA) has proven itself to be a powerful signal-processing technique for solving the Blind-Source Separation (BSS) problems in different scientific domains. In the present work, an application of ICA for processing NIR hyperspectral images to detect traces of peanut in wheat flour is presented. Processing was performed without a priori knowledge of the chemical composition of the two food materials. The aim was to extract the source signals of the different chemical components from the initial data set and to use them in order to determine the distribution of peanut traces in the hyperspectral images. To determine the optimal number of independent component to be extracted, the Random ICA by blocks method was used. This method is based on the repeated calculation of several models using an increasing number of independent components after randomly segmenting the matrix data into two blocks and then calculating the correlations between the signals extracted from the two blocks. The extracted ICA signals were interpreted and their ability to classify peanut and wheat flour was studied. Finally, all the extracted ICs were used to construct a single synthetic signal that could be used directly with the hyperspectral images to enhance the contrast between the peanut and the wheat flours in a real multi-use industrial environment. Furthermore, feature extraction methods (connected components labelling algorithm followed by flood fill method to extract object contours) were applied in order to target the spatial location of the presence of peanut traces. A good visualization of the distributions of peanut traces was thus obtained

Wave Statistics and Space-time Extremes via Stereo Imaging

We present an analysis of the space-time dynamics of oceanic sea states exploiting stereo imaging techniques. In particular, a novel Wave Acquisition Stereo System (WASS) has been developed and deployed at the oceanographic tower Acqua Alta in the Northern Adriatic Sea, off the Venice coast in Italy. The analysis of WASS video measurements yields accurate estimates of the oceanic sea state dynamics, the associated directional spectra and wave surface statistics that agree well with theoretical models. Finally, we show that a space-time extreme, defined as the expected largest surface wave height over an area, is considerably larger than the maximum crest observed in time at a point, in agreement with theoretical predictions.

MRI texture analysis as means for addressing rehydration and milk diffusion of cereals

Cereals microstructure is one of the primary quality attributes of cereals. Cereals rehydration and milk diffusion depends on such microstructure and thus, the crispiness and the texture, which will make it more palatable for the final consumer. Magnetic Resonance Imaging (MRI) is a very powerful topographic tool since acquisition parameter leads to a wide possibility for identifying textures, structures and liquids mobility. It is suited for non-invasive imaging of water and fats. Rehydration and diffusion cereals processes were measured by MRI at different times and using two different kinds of milk, varying their fat level. Several images were obtained. A combination of textural analysis (based on the analysis of histograms) and segmentation methods (in order to understand the rehydration level of each variety of cereals) were performed. According to the rehydration level, no advisable clustering behavior was found. Nevertheless, some differences were noticeable between the coating, the type of milk and the variety of cereals

A parallel implementation of 3D Zernike moment analysis

Zernike polynomials are a well known set of functions that find many applications in image or pattern characterization because they allow to construct shape descriptors that are invariant against translations, rotations or scale changes. The concepts behind them can be extended to higher dimension spaces, making them also fit to describe volumetric data. They have been less used than their properties might suggest due to their high computational cost. We present a parallel implementation of 3D Zernike moments analysis, written in C with CUDA extensions, which makes it practical to employ Zernike descriptors in interactive applications, yielding a performance of several frames per second in voxel datasets about 2003 in size. In our contribution, we describe the challenges of implementing 3D Zernike analysis in a general-purpose GPU. These include how to deal with numerical inaccuracies, due to the high precision demands of the algorithm, or how to deal with the high volume of input data so that it does not become a bottleneck for the system.

The correlation between white-matter microstructure and the complexity of spontaneous brain activity: A difussion tensor imaging-MEG study

The advent of new signal processing methods, such as non-linear analysis techniques, represents a new perspective which adds further value to brain signals' analysis. Particularly, Lempel–Ziv's Complexity (LZC) has proven to be useful in exploring the complexity of the brain electromagnetic activity. However, an important problem is the lack of knowledge about the physiological determinants of these measures. Although acorrelation between complexity and connectivity has been proposed, this hypothesis was never tested in vivo. Thus, the correlation between the microstructure of the anatomic connectivity and the functional complexity of the brain needs to be inspected. In this study we analyzed the correlation between LZC and fractional anisotropy (FA), a scalar quantity derived from diffusion tensors that is particularly useful as an estimate of the functional integrity of myelinated axonal fibers, in a group of sixteen healthy adults (all female, mean age 65.56 ± 6.06 years, intervals 58–82). Our results showed a positive correlation between FA and LZC scores in regions including clusters in the splenium of the corpus callosum, cingulum, parahipocampal regions and the sagittal stratum. This study supports the notion of a positive correlation between the functional complexity of the brain and the microstructure of its anatomical connectivity. Our investigation proved that a combination of neuroanatomical and neurophysiological techniques may shed some light on the underlying physiological determinants of brain's oscillations

Automatic motion compensation of free breathing acquired myocardial perfusion data by using independent component analysis

Images acquired during free breathing using first-pass gadolinium-enhanced myocardial perfusion magnetic resonance imaging (MRI) exhibit a quasiperiodic motion pattern that needs to be compensated for if a further automatic analysis of the perfusion is to be executed. In this work, we present a method to compensate this movement by combining independent component analysis (ICA) and image registration: First, we use ICA and a time?frequency analysis to identify the motion and separate it from the intensity change induced by the contrast agent. Then, synthetic reference images are created by recombining all the independent components but the one related to the motion. Therefore, the resulting image series does not exhibit motion and its images have intensities similar to those of their original counterparts. Motion compensation is then achieved by using a multi-pass image registration procedure. We tested our method on 39 image series acquired from 13 patients, covering the basal, mid and apical areas of the left heart ventricle and consisting of 58 perfusion images each. We validated our method by comparing manually tracked intensity profiles of the myocardial sections to automatically generated ones before and after registration of 13 patient data sets (39 distinct slices). We compared linear, non-linear, and combined ICA based registration approaches and previously published motion compensation schemes. Considering run-time and accuracy, a two-step ICA based motion compensation scheme that first optimizes a translation and then for non-linear transformation performed best and achieves registration of the whole series in 32 ± 12 s on a recent workstation. The proposed scheme improves the Pearsons correlation coefficient between manually and automatically obtained time?intensity curves from .84 ± .19 before registration to .96 ± .06 after registration

Examination of the quality of spinach leaves using hyperspectral imaging

The present research is focused on the application of hyperspectral images for the supervision of quality deterioration in ready to use leafy spinach during storage (Spinacia oleracea). Two sets of samples of packed leafy spinach were considered: (a) a first set of samples was stored at 20 °C (E-20) in order to accelerate the degradation process, and these samples were measured the day of reception in the laboratory and after 2 days of storage; (b) a second set of samples was kept at 10 °C (E-10), and the measurements were taken throughout storage, beginning the day of reception and repeating the acquisition of Images 3, 6 and 9 days later. Twenty leaves per test were analyzed. Hyperspectral images were acquired with a push-broom CCD camera equipped with a spectrograph VNIR (400–1000 nm). Calibration set of spectra was extracted from E-20 samples, containing three classes of degradation: class A (optimal quality), class B and class C (maximum deterioration). Reference average spectra were defined for each class. Three models, computed on the calibration set, with a decreasing degree of complexity were compared, according to their ability for segregating leaves at different quality stages (fresh, with incipient and non-visible symptoms of degradation, and degraded): spectral angle mapper distance (SAM), partial least squares discriminant analysis models (PLS-DA), and a non linear index (Leafy Vegetable Evolution, LEVE) combining five wavelengths were included among the previously selected by CovSel procedure. In sets E-10 and E-20, artificial images of the membership degree according to the distance of each pixel to the reference classes, were computed assigning each pixel to the closest reference class. The three methods were able to show the degradation of the leaves with storage time.

Perfect imaging of three object points with only two analytic lens surfaces in two dimensions

In this work, a new two-dimensional analytic optics design method is presented that enables the coupling of three ray sets with two lens profiles. This method is particularly promising for optical systems designed for wide field of view and with clearly separated optical surfaces. However, this coupling can only be achieved if different ray sets will use different portions of the second lens profile. Based on a very basic example of a single thick lens, the Simultaneous Multiple Surfaces design method in two dimensions (SMS2D) will help to provide a better understanding of the practical implications on the design process by an increased lens thickness and a wider field of view. Fermat?s principle is used to deduce a set of functional differential equations fully describing the entire optical system. The transformation of these functional differential equations into an algebraic linear system of equations allows the successive calculation of the Taylor series coefficients up to an arbitrary order. The evaluation of the solution space reveals the wide range of possible lens configurations covered by this analytic design method. Ray tracing analysis for calculated 20th order Taylor polynomials demonstrate excellent performance and the versatility of this new analytical optics design concept.

Olfactory fMRI Connectivity Analysis Based on Granger Causality with Application in Anosmia Assessment

In this work, we describe hubs organization within the olfactory network with Functional Magnetic Resonance Imaging (fMRI). Granger causality analyses were applied in the supposed regions of interest (ROIs) involved in olfactory tasks, as described in [1]. We aim to get deeper knowledge about the hierarchy of the regions within the olfactory network and to describe which of these regions, in terms of strength of the connectivity, impair in different types of anosmia.

Perfect imaging of point sources with positive refraction

The capability of a device called the Spherical Geodesic Waveguide (SGW) to produce images with details below the classic Abbe diffraction limit (super-resolution) is analyzed here. The SGW is an optical system equivalent (by means of Transformation Optics) to the Maxwell Fish Eye (MFE) refractive index distribution. Recently, it has been claimed that the necessary condition to get super-resolution in the MFE and the SGW is the use of a Perfect Point Drain (PPD). The PPD is a punctual receptor placed in the focal point that absorbs the incident wave, without reflection or scattering. A microwave circuit comprising three elements, the SGW, the source and the drain (two coaxial lines loaded with specific impedances) is designed and simulated in COMSOL. The super-resolution properties have been analyzed for different position of the source and drain and for two different load impedances: the PPD and the characteristic line impedance. The results show that in both cases super-resolution occurs only for discrete number of frequencies. Out of these frequencies, the SGW does not show SR in the analysis carried out.

Simulation-based evaluation of susceptibility distortion correction methods in diffusion MRI for connectivity analysis

Connectivity analysis on diffusion MRI data of the whole-brain suffers from distortions caused by the standard echo-planar imaging acquisition strategies. These images show characteristic geometrical deformations and signal destruction that are an important drawback limiting the success of tractography algorithms. Several retrospective correction techniques are readily available. In this work, we use a digital phantom designed for the evaluation of connectivity pipelines. We subject the phantom to a “theoretically correct” and plausible deformation that resembles the artifact under investigation. We correct data back, with three standard methodologies (namely fieldmap-based, reversed encoding-based, and registration- based). Finally, we rank the methods based on their geometrical accuracy, the dropout compensation, and their impact on the resulting connectivity matrices.