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Object Classification in 3-D Images Using Alpha-Trimmed Radial Basis Function Network Mean (1999)

by Adrian G. Bors, Ioannis Pitas
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MULTIPLE IMAGE DISPARITY CORRECTION FOR 3-D SCENE REPRESENTATION

by Matthew Grum, Adrian G. Bors
"... This paper analyses the reconstruction of a 3-D scene from multiple images. The proposed approach uses a voxel representation for initializing an implicit radial basis function (RBF) model of the 3-D scene. The voxel representation is produced by the space carving algorithm. Disparity errors are ide ..."
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This paper analyses the reconstruction of a 3-D scene from multiple images. The proposed approach uses a voxel representation for initializing an implicit radial basis function (RBF) model of the 3-D scene. The voxel representation is produced by the space carving algorithm. Disparity errors are identified as inconsistencies between the 3-D patches of the scene surface and their pixel block correspondents in the images. A matching algorithm is used for estimating the disparity errors after aligning all these pixel block regions along epipolar lines, each corresponding to a 3-D patch of scene surface. An algorithm is derived for updating the RBF center locations using the disparity errors. Experiments are performed on two different sets of images and numerical results are provided when comparing the resulting 3-D scene with the ground truth given by a laser scanner. Index Terms — Multiple image stereo vision, space carving, implicit radial basis functions. 1.
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...nnected components [3]. Radial Basis Function (RBF) are known for their data fitting, interpolation and generalisation properties and have been widely used in pattern recognition and image processing =-=[7]-=-. Implicit RBFs have been shown to represent surfaces well in [5, 6]. In this paper we use the voxel representation provided by the space carving algorithm for initializing the RBF model. The surface ...

Perturbation Functions in Computer Graphics

by Sergey I. Vyatkin, Boris S. Dolgovesov, Mikhail A. Gorodilov , 2013
"... Copyright © 2013 Sergey I. Vyatkin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The problem of real-time photorealistic ima ..."
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Copyright © 2013 Sergey I. Vyatkin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The problem of real-time photorealistic imaging is discussed. New techniques for specifying free forms without their approximation by polygons are considered. Free forms based on the perturbation functions have an advantage of spline representation of surfaces, that is, a high degree of smoothness, and an advantage of arbitrary form for a small number of perturbation functions. Transformations of geometric objects are described for set-theoretic operations, projections, offsetting, and metamorphosis. We propose a GPU solution to render freeform objects at high frame rates.

Contents lists available at ScienceDirect Image and Vision Computing

by Ashish Doshi
"... journal homepage: www.elsevier.com/locate/imavis ..."
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journal homepage: www.elsevier.com/locate/imavis
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...ood introducing a bias in the data. Robust statistics has been extensively used for image filtering, as well as in combination with Gaussian kernels for motion estimation [4], 3-D object segmentation =-=[23]-=-, etc. Smoothing the optical flow while preserving motion discontinuities contributes to a better modelling suitable for moving object segmentation, tracking [8], 0262-8856/$ – see front matter © 2010...

Watermarking Mesh-Based Representations of 3-D Objects Using Local Moments

by unknown authors
"... Abstract—A new methodology for fingerprinting and watermarking three-dimensional (3-D) graphical objects is proposed in this paper. The 3-D graphical objects are described by means of polygonal meshes. The information to be embedded is provided as a binary code. A watermarking methodology has two st ..."
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Abstract—A new methodology for fingerprinting and watermarking three-dimensional (3-D) graphical objects is proposed in this paper. The 3-D graphical objects are described by means of polygonal meshes. The information to be embedded is provided as a binary code. A watermarking methodology has two stages: embedding and detecting the information that has been embedded in the given media. The information is embedded by means of local geometrical perturbations while maintaining the local connectivity. A neighborhood localized measure is used for selecting appropriate vertices for watermarking. A study is undertaken in order to verify the suitability of this measure for selecting vertices from regions where geometrical perturbations are less perceptible. Two different watermarking algorithms, that do not require the original 3-D graphical object in the detection stage, are proposed. The two algorithms differ with respect to the type of constraint to be embedded in the local structure: by using parallel planes and bounding ellipsoids, respectively. The information capacity of various 3-D meshes is analyzed when using the proposed 3-D watermarking algorithms. The robustness of the 3-D watermarking algorithms is tested to noise perturbation and to object cropping. Index Terms—Mesh representation, moments, three-dimensional (3-D) graphical objects, watermarking.
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...solid geometry (CSG) or as an implicit set of parametrized equations, such as nonuniform rational B-splines (NURBS), or other splines [6]. While voxels provide a volumetric description of 3-D objects =-=[7]-=-, meshes, and parametric equations model their surfaces. A polygonal mesh of a 3-D object is represented as a graph consisting of a set of vertices, joined by edges and polygons. Unlike in other visua...

Variational Learning for Gaussian Mixture Models

by unknown authors
"... Abstract—This paper proposes a joint maximum likelihood and Bayesian methodology for estimating Gaussian mixture models. In Bayesian inference, the distributions of parameters are modeled, characterized by hyperparameters. In the case of Gaussian mixtures, the distributions of parameters are conside ..."
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Abstract—This paper proposes a joint maximum likelihood and Bayesian methodology for estimating Gaussian mixture models. In Bayesian inference, the distributions of parameters are modeled, characterized by hyperparameters. In the case of Gaussian mixtures, the distributions of parameters are considered as Gaussian for the mean, Wishart for the covariance, and Dirichlet for the mixing probability. The learning task consists of estimating the hyperparameters characterizing these distributions. The integration in the parameter space is decoupled using an unsupervised variational methodology entitled variational expectation–maximization (VEM). This paper introduces a hyperparameter initialization procedure for the training algorithm. In the first stage, distributions of parameters resulting from successive runs of the expectation–maximization algorithm are formed. Afterward, maximum-likelihood estimators are applied to find appropriate initial values for the hyperparameters. The proposed initialization provides faster convergence, more accurate hyperparameter estimates, and better generalization for the VEM training algorithm. The proposed methodology is applied in blind signal detection and in color image segmentation. Index Terms—Bayesian inference, expectation–maximization algorithm, Gaussian mixtures, maximum log-likelihood estimation,
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...d in several applications [4]–[8]. RBF networks can be trained in two stages, namely: 1) unsupervised training for the hidden unit parameters and 2) supervised training for the output parameters [5], =-=[9]-=-. Learning mixtures of Gaussians is unsupervised in its most general form and corresponds to the first training stage in RBF networks. Well-defined statistical properties for mixtures of Gaussians det...

Robust RBF Networks

by Adrian G. Bors, I. Pitas
"... Introduction Radial Basis Functions (RBF) have been used in several applications for functional modeling and pattern classification. They have been found to have very good functional approximation capabilities. It has been proven that any continuous function can be modeled up to a certain precision ..."
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Introduction Radial Basis Functions (RBF) have been used in several applications for functional modeling and pattern classification. They have been found to have very good functional approximation capabilities. It has been proven that any continuous function can be modeled up to a certain precision by a set of radial basis functions [1], [2], [3]. RBFs have their fundamentals drawn from probability function estimation theory. RBF network consists of a two layer feed-forward neural network. The hidden units implement functions which geometrically have a radial activation region similar to that of electric charges. Various types of functions have been considered for the hidden unit activation functions. Gaussian, thin-plate, multi-quadric, cubic radius or Cauchy basis function are among those proposed for modeling radial basis functions. Gaussian functions are considered in this study, because they are able to model the first and the second order statistics with their mean and covarianc

Network for Pap Smear Microscopic Image Classification

by Francisco J. Gallegos-funes, Margarita E. Gómez-mayorga, José Luis Lopez-bonilla, Rene Cruz-santiago
"... In this paper we present the capability of the Rank M-Type ..."
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In this paper we present the capability of the Rank M-Type
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...ural network uses the Median M-Type (MM) estimator [12] in the scheme of radial basis function to estimate the parameters of proposed neural network according with the schemes found in the references =-=[13,14]-=-. In this paper, the Rank M-Type Radial Basis Function (RMRBF) Neural Network is used for automatic Pap test screening process. The rest of this paper is organized as follows. Section 2 presents the p...

N.Sankar Ram & Dr.Paul Rodrigues Enhanced Intelligent Risk Divination Using Added Quality Attributes Injected ATAM and Design Patterns

by N. Sankar Ram, Dr. Paul Rodrigues
"... Architectural Tradeoff Analysis Method is a method for evaluation of architecture-level designs and identifies trade-off points between attributes, facilitates communication between stakeholders. ATAM has got the limitations like not a predictor of quality achievement, not deals more quality attribu ..."
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Architectural Tradeoff Analysis Method is a method for evaluation of architecture-level designs and identifies trade-off points between attributes, facilitates communication between stakeholders. ATAM has got the limitations like not a predictor of quality achievement, not deals more quality attributes, Efficiency always depends on the expertise and potential of stakeholders. In this paper we have proposed a system which uses ATAM to predict the risk analysis, with more possible quality attributes. We have used artificial intelligence to predict the risk of the SA based on the Knowledge base of the Stakeholder Experts.
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...tors are available. RBF networks have been successfully applied to a large diversity of applications including interpolation [24], image restoration [25], shape-from-shading [26], 3-D object modeling =-=[27]-=-, data fusion [28], etc. RBF-NN is used by many authors for prediction [13, 14, 15] .During testing; the impact of quality attributes on design pattern (IQADP) is analyzed as discussed in the previous...

unknown title

by unknown authors
"... fro ap ct o had es sign by a de con ting rom nto the & 2013 Elsevier Ltd. All rights reserved. 1. ..."
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fro ap ct o had es sign by a de con ting rom nto the & 2013 Elsevier Ltd. All rights reserved. 1.
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... photo-consistency of a specific point with all its corresponding pixels from the given set of images [2–5]. about the local surface smoothness as in [18,19]. Similarly to the 3D Hough transform from =-=[14]-=-, shape reconstruction was shape and itsSingle 3D object reconstruction fr attracted considerable research in contain multiple objects where occlu views. Moreover, object shadows a variation happen du...

Accuracy Augmentation of Tamil OCR Using Algorithm Fusion

by unknown authors , 2008
"... The need for OCR arises in the context of digitizing Tamil documents from the ancient and old era to the latest, which helps in sharing the data through the Internet. Tamil, which is a south Indian language, is one of the oldest languages in the world. Even there are few works going on in Tamil OCR, ..."
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The need for OCR arises in the context of digitizing Tamil documents from the ancient and old era to the latest, which helps in sharing the data through the Internet. Tamil, which is a south Indian language, is one of the oldest languages in the world. Even there are few works going on in Tamil OCR, the accuracy of the approaches still remains a challenging area of research. Many of the works related to Tamil OCR have not concentrated or dealt enough with the accuracy parameter. Our work is contributed to increase the performance of Tamil OCR. We have chosen two algorithms to be fused to get the advantage of both the algorithms. Fusing the algorithms yields efficiency of OCR conversion. Improvement in accuracy is proven through experimental results discussed in this paper. Key words:
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...tors are available. RBF networksshave been successfully applied to a large diversity ofsapplications including interpolation [15], image restorations[16], shape-from-shading [17], 3-D object modeling =-=[18]-=-,sdata fusion [19], etc.s3. Experimental ResultssWe chose “Thirukural” OCR to test the proposedsmethodologies efficiency. Thirukural [20] of Thiruvalluvarsis the most popular, most widely esteemed Tam...

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