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    Wyświetlanie 1-8 z 8
    Tytuł:
    Radon‐wavelet based novel image descriptor for mammogram mass classification
    Autorzy:
    Obaidullah, Sk Md
    Ahmed, Sajib
    Gonçalves, Teresa
    Rato, Luís
    Powiązania:
    https://bibliotekanauki.pl/articles/384195.pdf
    Data publikacji:
    2020
    Wydawca:
    Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
    Tematy:
    image descriptor
    radon transform
    mammography
    breast cancer
    classification
    Opis:
    Mammography based breast cancer screening is very popular because of its lower costing and readily availability. For automated classification of mammogram images as benign or malignant machine learning techniques are involved. In this paper, a novel image descriptor which is based on the idea of Radon and Wavelet transform is proposed. This method is quite efficient as it performs well without any clinical information. Performance of the method is evaluated using six different classifiers namely: Bayesian network (BN), Linear discriminant analysis (LDA), Logistic, Support vector machine (SVM), Multilayer perceptron (MLP) and Random Forest (RF) to choose the best performer. Considering the present experimental framework, we found, in terms of area under the ROC curve (AUC), the proposed image descriptor outperforms, upto some extent, previous reported experiments using histogram based hand‐crafted methods, namely Histogram of Oriented Gradient (HOG) and Histogram of Gradient Divergence (HGD) and also Convolution Neural Network (CNN). Our experimental results show the highest AUC value of 0.986, when using only the carniocaudal (CC) view compared to when using only the mediolateral oblique (MLO) (0.738) or combining both views (0.838). These results thus proves the effectiveness of CC view over MLO for better mammogram mass classification.
    Źródło:
    Journal of Automation Mobile Robotics and Intelligent Systems; 2020, 14, 2; 74-80
    1897-8649
    2080-2145
    Pojawia się w:
    Journal of Automation Mobile Robotics and Intelligent Systems
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Extension of separately analytic functions and applications to range characterization of the exponential Radon transform
    Autorzy:
    Öktem, Ozan
    Powiązania:
    https://bibliotekanauki.pl/articles/1294227.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    exponential Radon transform
    range characterization
    separately analytic functions
    Opis:
    We consider the problem of characterizing the range of the exponential Radon transform. The proof uses extension properties of separately analytic functions, and we prove a new theorem about extending such functions.
    Źródło:
    Annales Polonici Mathematici; 1998, 70, 1; 195-213
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    "Counterexamples" to the harmonic Liouville theorem and harmonic functions with zero nontangential limits
    Autorzy:
    Bonilla, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/965789.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    nontangential limits
    universal function
    approximation
    Liouville harmonic theorem
    Radon transform
    harmonic functions
    Opis:
    We prove that, if μ>0, then there exists a linear manifold M of harmonic functions in $ℝ^N$ which is dense in the space of all harmonic functions in $ℝ^N$ and lim_{{‖x‖→∞} {x ∈ S}} ‖x‖^{μ}D^{α}v(x) = 0 for every v ∈ M and multi-index α, where S denotes any hyperplane strip. Moreover, every nonnull function in M is universal. In particular, if μ ≥ N+1, then every function v ∈ M satisfies ∫_H vdλ =0 for every (N-1)-dimensional hyperplane H, where λ denotes the (N-1)-dimensional Lebesgue measure. On the other hand, we prove that there exists a linear manifold M of harmonic functions in the unit ball of $ℝ^N$, which is dense in the space of all harmonic functions and each function in M has zero nontangential limit at every point of the boundary of .
    Źródło:
    Colloquium Mathematicum; 2000, 83, 2; 155-160
    0010-1354
    Pojawia się w:
    Colloquium Mathematicum
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Radon-Zernike moments method applied in postal application
    Zastosowanie momentów Radona-Zernike do aplikacji pocztowych
    Autorzy:
    Miciak, M.
    Wiatr, R.
    Andrysiak, T.
    Maszewski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/389801.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Bydgoska im. Jana i Jędrzeja Śniadeckich. Wydawnictwo PB
    Tematy:
    character recognition
    radon transform
    Zernike moments
    rozpoznawanie znaków
    transformata Radona
    momenty Zernike
    Opis:
    In this paper a new method of a handwritten characters recognition is introduced. The proposed algorithm is applied to classification of post mails on the basis of postal code information. In connection with this work the research was conducted with numeric characters used in real post code of mail pieces. Moreover, the article contains image processing, for instance, filtration of Radon transformation of the character. The main objective of this article is to use the Radon transform parameter space to obtain a set of moment features on basis of which postal code will be recognized.
    W artykule przedstawiono nowe rozwiązanie zadania rozpoznawania znaków pisanych ręcznie dla zastosowań pocztowych. Zaproponowano algorytm klasyfikacji przesyłek pocztowych działający na podstawie informacji zawartej w zapisie kodu pocztowego. Główny nacisk położono na wykorzystanie transformaty Radona i momentów Zernike do uzyskania zbioru cech, na podstawie, których rozpoznawano kod pocztowy. Otrzymane wyniki eksperymentów pozwoliły wykazać skuteczno ść proponowanej metody.
    Źródło:
    Zeszyty Naukowe. Telekomunikacja i Elektronika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy; 2013, 17; 17-26
    1899-0088
    Pojawia się w:
    Zeszyty Naukowe. Telekomunikacja i Elektronika / Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of advanced techniques of image processing based on automatic detection system and road sings recognition
    Autorzy:
    Smorawa, D.
    Kubanek, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/122301.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    image processing
    image detection
    radon transform
    Hough transform
    przetwarzanie obrazów
    transformata Radona
    transformata Hough'a
    Opis:
    This paper describes implementations of the Hough Circle Transform and the Radon Line Transform. The presented transforms were used to build a system for identifying road signs from selected images and recordings. This can be very important and especially useful for monitoring and prevention in driver assistance systems. The design of our system assumed that the objects should be found automatically from images or video sequence. Furthermore, the detection was based on the shapes of common traffic signs which correspond to used transforms. Additionally, the Huffman method was applied to encode the data before being compared. Consequently, the traffic signs were matched directly with the Euclidean distance.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 103-113
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Circular Radon Transform Inversion Technique in Synthetic Aperture Ultrasound Imaging : an Ultrasound Phantom Evaluation
    Autorzy:
    Tasinkevych, J.
    Trots, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/176632.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    synthetic aperture focusing method
    circular Radon Transform
    delay and sum beamforming
    range migration algorithm
    Opis:
    The paper presents an overview of theoretical aspects of ultrasound image reconstruction techniques based on the circular Radon transform inversion. Their potential application in ultrasonography in a similar way as it was successfully done in the x-ray computer tomography is demonstrated. The meth- ods employing Radon transform were previously extensively explored in the synthetic aperture radars, geophysics, and medical imaging using x-ray computer tomography. In this paper the main attention is paid to the ultrasound imaging employing monostatic transmit-receive configuration. Specifically, a single transmit and receive omnidirectional source placed at the same spatial location is used for generation of a wide-band ultrasound pulse and detection of back-scattered waves. The paper presents derivation of the closed-form solution of the CRT inversion algorithms by two different approaches: the range-migration algorithm (RMA) and the deconvolution algorithm (DA). Experimentally determined data of ultrasound phantom obtained using a 32-element 5 MHz linear transducer array with 0.48 mm element pitch and 0.36 mm element width and 5 mm height, excited by a 2 sine cycles burst pulse are used for comparison of images reconstructed by the RMA, DA, and conventional synthetic aperture focusing technique (SAFT). It is demonstrated that both the RMA and SAFT allow better lateral resolution and visualization depth to be achieved as compared to the DA approach. Comparison of the results obtained by the RMA method and the SAFT indicates slight improvement of the lateral resolution for the SAFT of approximately 1.5 and 1.6% at the depth of 12 and 32 mm, respectively. Concurrently, however, the visualization depth increase for the RMA is shown in comparison with the SAFT. Specifically, the scattered echo amplitude increase by the factor of 1.36 and 1.12 at the depth of 22 and 32 mm is demonstrated. It is also shown that the RMA runs about 30% faster than the SAFT and about 12% faster than the DA method.
    Źródło:
    Archives of Acoustics; 2014, 39, 4; 569-582
    0137-5075
    Pojawia się w:
    Archives of Acoustics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Tauberian theorems for vector-valued Fourier and Laplace transforms
    Autorzy:
    Chill, Ralph
    Powiązania:
    https://bibliotekanauki.pl/articles/1218589.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Tauberian theorem
    Fourier transform
    Laplace transform
    asymptotically almost periodic
    analytic Radon-Nikodym property
    Cauchy problem
    Opis:
    Let X be a Banach space and $f ∈ L^1_loc(ℝ;X)$ be absolutely regular (i.e. integrable when divided by some polynomial). If the distributional Fourier transform of f is locally integrable then f converges to 0 at infinity in some sense to be made precise. From this result we deduce some Tauberian theorems for Fourier and Laplace transforms, which can be improved if the underlying Banach space has the analytic Radon-Nikodym property.
    Źródło:
    Studia Mathematica; 1998, 128, 1; 55-69
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Around Widders characterization of the Laplace transform of an element of $L^{∞}(ℝ^{+})$
    Autorzy:
    Kisyński, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/1207972.pdf
    Data publikacji:
    2000
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    operators from $L_{ϰ}^{1}(ℝ^{+})$ into a Banach space
    complete monotonicity and positivity with respect to a cone
    one-parameter semigroups of operators
    vector measures
    Gelfand space
    Radon-Nikodym property
    representations of the convolution algebra $L_{ϰ}^{1}(ℝ^{+})$
    pseudoresolvents and their generators
    real inversion formulas for the Laplace transform
    Opis:
    Let ϰ be a positive, continuous, submultiplicative function on $ℝ^{+}$ such that $lim_{t→∞} e^{-ωt}t^{-α}ϰ(t) = a$ for some ω ∈ ℝ, α ∈ $\overline{ℝ^{+}}$ and $a ∈ ℝ^{+}$. For every λ ∈ (ω,∞) let $ϕ_{λ}(t) =e^{-λt}$ for $t ∈ ℝ^{+}$. Let $L^{1}_{ϰ}(ℝ^{+})$ be the space of functions Lebesgue integrable on $ℝ^{+}$ with weight $ϰ$, and let E be a Banach space. Consider the map $ϕ_{•}: (ω,∞) ∋ λ → ϕ_{λ} ∈ L_{ϰ}^{1}(ℝ^{+})$. Theorem 5.1 of the present paper characterizes the range of the linear map $T → Tϕ_{•}$ defined on $L(L_{ϰ}^{1}(ℝ^{+});E)$, generalizing a result established by B. Hennig and F. Neubrander for $ϰ(t)=e^{ωt}$. If ϰ ≡ 1 and E =ℝ then Theorem 5.1 reduces to D. V. Widder's characterization of the Laplace transform of a function in $L^{∞}(ℝ^{+})$. Some applications of Theorem 5.1 to the theory of one-parameter semigroups of operators are discussed. In particular a version of the Hille-Yosida generation theorem is deduced for $C_0$ semigroups $(S_t)_{t ∈ \overline{ℝ^{+}}}$ such that $sup_{t ∈ \overline{ℝ^{+}}} (ϰ(t))^{-1}∥ S_t∥ < ∞$.
    Źródło:
    Annales Polonici Mathematici; 2000, 74, 1; 161-200
    0066-2216
    Pojawia się w:
    Annales Polonici Mathematici
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-8 z 8

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