Frame Model

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Pierino Lestuzzi - One of the best experts on this subject based on the ideXlab platform.

  • an equivalent Frame Model for seismic analysis of masonry and reinforced concrete buildings
    Construction and Building Materials, 2009
    Co-Authors: Y Belmouden, Pierino Lestuzzi
    Abstract:

    Abstract In this paper a novel equivalent planar-Frame Model with openings is presented. The Model deals with seismic analysis using the Pushover method for masonry and reinforced concrete buildings. Each wall with opening can be decomposed into parallel structural walls made of an assemblage of piers and a portion of spandrels. As formulated, the structural Model undergoes inelastic flexural as well as inelastic shear deformations. The mathematical Model is based on the smeared cracks and distributed plasticity approach. Both zero moment location shifting in piers and spandrels can be evaluated. The constitutive laws are Modeled as bilinear curves in flexure and in shear. A biaxial interaction rule for both axial force–bending moment and axial force–shear force are considered. The Model can support any shape of failure criteria. An event-to-event strategy is used to solve the nonlinear problem. Two applications are used to show the ability of the Model to study both reinforced concrete and unreinforced masonry structures. Relevant findings are compared to analytical results from experimental, simplified Models and finite element Models such as Drain3DX and ETABS finite element package.

Ying Nian Wu - One of the best experts on this subject based on the ideXlab platform.

  • Learning Sparse Frame Models for Natural Image Patterns
    International Journal of Computer Vision, 2015
    Co-Authors: Jianwen Xie, Wenze Hu, Song-chun Zhu, Ying Nian Wu
    Abstract:

    It is well known that natural images admit sparse representations by redundant dictionaries of basis functions such as Gabor-like wavelets. However, it is still an open question as to what the next layer of representational units above the layer of wavelets should be. We address this fundamental question by proposing a sparse Frame (Filters, Random field, And Maximum Entropy) Model for representing natural image patterns. Our sparse Frame Model is an inhomogeneous generalization of the original Frame Model. It is a non-stationary Markov random field Model that reproduces the observed statistical properties of filter responses at a subset of selected locations, scales and orientations. Each sparse Frame Model is intended to represent an object pattern and can be considered a deformable template. The sparse Frame Model can be written as a shared sparse coding Model, which motivates us to propose a two-stage algorithm for learning the Model. The first stage selects the subset of wavelets from the dictionary by a shared matching pursuit algorithm. The second stage then estimates the parameters of the Model given the selected wavelets. Our experiments show that the sparse Frame Models are capable of representing a wide variety of object patterns in natural images and that the learned Models are useful for object classification.

Jianwen Xie - One of the best experts on this subject based on the ideXlab platform.

  • Learning Sparse Frame Models for Natural Image Patterns
    International Journal of Computer Vision, 2015
    Co-Authors: Jianwen Xie, Wenze Hu, Song-chun Zhu, Ying Nian Wu
    Abstract:

    It is well known that natural images admit sparse representations by redundant dictionaries of basis functions such as Gabor-like wavelets. However, it is still an open question as to what the next layer of representational units above the layer of wavelets should be. We address this fundamental question by proposing a sparse Frame (Filters, Random field, And Maximum Entropy) Model for representing natural image patterns. Our sparse Frame Model is an inhomogeneous generalization of the original Frame Model. It is a non-stationary Markov random field Model that reproduces the observed statistical properties of filter responses at a subset of selected locations, scales and orientations. Each sparse Frame Model is intended to represent an object pattern and can be considered a deformable template. The sparse Frame Model can be written as a shared sparse coding Model, which motivates us to propose a two-stage algorithm for learning the Model. The first stage selects the subset of wavelets from the dictionary by a shared matching pursuit algorithm. The second stage then estimates the parameters of the Model given the selected wavelets. Our experiments show that the sparse Frame Models are capable of representing a wide variety of object patterns in natural images and that the learned Models are useful for object classification.

  • CVPR - Learning Inhomogeneous Frame Models for Object Patterns
    2014 IEEE Conference on Computer Vision and Pattern Recognition, 2014
    Co-Authors: Jianwen Xie, Song-chun Zhu
    Abstract:

    We investigate an inhomogeneous version of the Frame (Filters, Random field, And Maximum Entropy) Model and apply it to Modeling object patterns. The inhomogeneous Frame is a non-stationary Markov random field Model that reproduces the observed marginal distributions or statistics of filter responses at all the different locations, scales and orientations. Our experiments show that the inhomogeneous Frame Model is capable of generating a wide variety of object patterns in natural images. We then propose a sparsified version of the inhomogeneous Frame Model where the Model reproduces observed statistical properties of filter responses at a small number of selected locations, scales and orientations. We propose to select these locations, scales and orientations by a shared sparse coding scheme, and we explore the connection between the sparse Frame Model and the linear additive sparse coding Model. Our experiments show that it is possible to learn sparse Frame Models in unsupervised fashion and the learned Models are useful for object classification.

Y Belmouden - One of the best experts on this subject based on the ideXlab platform.

  • an equivalent Frame Model for seismic analysis of masonry and reinforced concrete buildings
    Construction and Building Materials, 2009
    Co-Authors: Y Belmouden, Pierino Lestuzzi
    Abstract:

    Abstract In this paper a novel equivalent planar-Frame Model with openings is presented. The Model deals with seismic analysis using the Pushover method for masonry and reinforced concrete buildings. Each wall with opening can be decomposed into parallel structural walls made of an assemblage of piers and a portion of spandrels. As formulated, the structural Model undergoes inelastic flexural as well as inelastic shear deformations. The mathematical Model is based on the smeared cracks and distributed plasticity approach. Both zero moment location shifting in piers and spandrels can be evaluated. The constitutive laws are Modeled as bilinear curves in flexure and in shear. A biaxial interaction rule for both axial force–bending moment and axial force–shear force are considered. The Model can support any shape of failure criteria. An event-to-event strategy is used to solve the nonlinear problem. Two applications are used to show the ability of the Model to study both reinforced concrete and unreinforced masonry structures. Relevant findings are compared to analytical results from experimental, simplified Models and finite element Models such as Drain3DX and ETABS finite element package.

Wu Xiao-yue - One of the best experts on this subject based on the ideXlab platform.