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  • 1. Barnes, Nick
    et al.
    Loy, Gareth
    KTH, School of Computer Science and Communication (CSC), Computer Vision and Active Perception, CVAP.
    Shaw, David
    The regular polygon detector2010In: Pattern Recognition, ISSN 0031-3203, E-ISSN 1873-5142, Vol. 43, no 3, p. 592-602Article in journal (Refereed)
    Abstract [en]

    This paper describes a robust regular polygon detector. Given image edges, we derive the a posteriori probability for a mixture of regular polygons, and thus the probability density function for the appearance of a set of regular polygons. Likely regular polygons can be isolated quickly by discretising and collapsing the search space into three dimensions. We derive a complete formulation for efficiently recovering the remaining dimensions using maximum likelihood at the locations of the most likely polygons. Results show robustness to noise, the ability to find and differentiate different shape types, and to perform real-time sign detection for driver assistance.

  • 2. Halawani, Alaa
    et al.
    Li, Haibo
    KTH, School of Computer Science and Communication (CSC), Media Technology and Interaction Design, MID.
    100 lines of code for shape-based object localization2016In: Pattern Recognition, ISSN 0031-3203, E-ISSN 1873-5142, Vol. 60, p. 458-472Article in journal (Refereed)
    Abstract [en]

    We introduce a simple and effective concept for localizing objects in densely cluttered edge images based on shape information. The shape information is characterized by a binary template of the object's contour, provided to search for object instances in the image. We adopt a segment-based search strategy, in which the template is divided into a set of segments. In this work, we propose our own segment representation that we call one-pixel segment (OPS), in which each pixel in the template is treated as a separate segment. This is done to achieve high flexibility that is required to account for intra-class variations. OPS representation can also handle scale changes effectively. A dynamic programming algorithm uses the OPS representation to realize the search process, enabling a detailed localization of the object boundaries in the image. The concept's simplicity is reflected in the ease of implementation, as the paper's title suggests. The algorithm works directly with very noisy edge images extracted using the Canny edge detector, without the need for any preprocessing or learning steps. We present our experiments and show that our results outperform those of very powerful, state-of-the-art algorithms.

  • 3. Ma, Zhanyu
    et al.
    Rana, Pravin Kumar
    KTH, School of Electrical Engineering (EES), Communication Theory.
    Taghia, Jalil
    KTH, School of Electrical Engineering (EES), Communication Theory.
    Flierl, Markus
    KTH, School of Electrical Engineering (EES), Communication Theory.
    Leijon, Arne
    KTH, School of Electrical Engineering (EES), Communication Theory.
    Bayesian estimation of Dirichlet mixture model with variational inference2014In: Pattern Recognition, ISSN 0031-3203, E-ISSN 1873-5142, Vol. 47, no 9, p. 3143-3157Article in journal (Refereed)
    Abstract [en]

    In statistical modeling, parameter estimation is an essential and challengeable task. Estimation of the parameters in the Dirichlet mixture model (DMM) is analytically intractable, due to the integral expressions of the gamma function and its corresponding derivatives. We introduce a Bayesian estimation strategy to estimate the posterior distribution of the parameters in DMM. By assuming the gamma distribution as the prior to each parameter, we approximate both the prior and the posterior distribution of the parameters with a product of several mutually independent gamma distributions. The extended factorized approximation method is applied to introduce a single lower-bound to the variational objective function and an analytically tractable estimation solution is derived. Moreover, there is only one function that is maximized during iterations and, therefore, the convergence of the proposed algorithm is theoretically guaranteed. With synthesized data, the proposed method shows the advantages over the EM-based method and the previously proposed Bayesian estimation method. With two important multimedia signal processing applications, the good performance of the proposed Bayesian estimation method is demonstrated.

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