Shape Representation

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A. Poulat - One of the best experts on this subject based on the ideXlab platform.

  • Interfacing product views through a mixed Shape Representation. Part 1: Data structures and operators
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2008
    Co-Authors: Okba Hamri, Bianca Falcidieno, J. -c. Léon, A. Poulat, F. Giannini, L. Fine
    Abstract:

    Currently, the product development process being collaborative and distributed, it relies on multiple skills and Representations of the product. Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. In this part 1 paper, an analysis of the requirements for this Shape adaptation process is performed that leads to the concepts and organization of the so-called mixed Shape Representation. Here, we show how BRep NURBS CAD models and polyhedral models combined with the concept of High Level Topology introduced enable the explicit and intrinsic description of the concepts needed to efficiently transform Shapes between product views. A set of operators briefly outlined illustrates the effect of the proposed approach on the possibilities of Shape transformations needed in product view interfaces. The corresponding examples demonstrate their efficiency.

  • Interfacing product views through a mixed Shape Representation. Part 2: Model processing description
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2007
    Co-Authors: G. Drieux, J. -c. Léon, F. Guillaume, N. Chevassus, L. Fine, A. Poulat
    Abstract:

    Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. This Shape adaptation is considered as performed in the product view interface where a mixed Shape Representation reduces the prescriptive effects of the component models thus generated. Considered here as a second part, issues related to operators addressing the associative modifications of product models and, more specifically the product Shape description, are described as a complement of the first part. Among the product views, the concept of downstream digital mock-up serves as basis to illustrate the properties of the proposed approach. Associative modifications are addressed through Shape mapping issues. The product adaptation phase is here regarded as a process and the corresponding model is described showing how the concept of product assembly can be considered as subjected to multiple Representations.

L. Fine - One of the best experts on this subject based on the ideXlab platform.

  • Interfacing product views through a mixed Shape Representation. Part 1: Data structures and operators
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2008
    Co-Authors: Okba Hamri, Bianca Falcidieno, J. -c. Léon, A. Poulat, F. Giannini, L. Fine
    Abstract:

    Currently, the product development process being collaborative and distributed, it relies on multiple skills and Representations of the product. Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. In this part 1 paper, an analysis of the requirements for this Shape adaptation process is performed that leads to the concepts and organization of the so-called mixed Shape Representation. Here, we show how BRep NURBS CAD models and polyhedral models combined with the concept of High Level Topology introduced enable the explicit and intrinsic description of the concepts needed to efficiently transform Shapes between product views. A set of operators briefly outlined illustrates the effect of the proposed approach on the possibilities of Shape transformations needed in product view interfaces. The corresponding examples demonstrate their efficiency.

  • Interfacing product views through a mixed Shape Representation. Part 2: Model processing description
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2007
    Co-Authors: G. Drieux, J. -c. Léon, F. Guillaume, N. Chevassus, L. Fine, A. Poulat
    Abstract:

    Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. This Shape adaptation is considered as performed in the product view interface where a mixed Shape Representation reduces the prescriptive effects of the component models thus generated. Considered here as a second part, issues related to operators addressing the associative modifications of product models and, more specifically the product Shape description, are described as a complement of the first part. Among the product views, the concept of downstream digital mock-up serves as basis to illustrate the properties of the proposed approach. Associative modifications are addressed through Shape mapping issues. The product adaptation phase is here regarded as a process and the corresponding model is described showing how the concept of product assembly can be considered as subjected to multiple Representations.

J. -c. Léon - One of the best experts on this subject based on the ideXlab platform.

  • Interfacing product views through a mixed Shape Representation. Part 1: Data structures and operators
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2008
    Co-Authors: Okba Hamri, Bianca Falcidieno, J. -c. Léon, A. Poulat, F. Giannini, L. Fine
    Abstract:

    Currently, the product development process being collaborative and distributed, it relies on multiple skills and Representations of the product. Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. In this part 1 paper, an analysis of the requirements for this Shape adaptation process is performed that leads to the concepts and organization of the so-called mixed Shape Representation. Here, we show how BRep NURBS CAD models and polyhedral models combined with the concept of High Level Topology introduced enable the explicit and intrinsic description of the concepts needed to efficiently transform Shapes between product views. A set of operators briefly outlined illustrates the effect of the proposed approach on the possibilities of Shape transformations needed in product view interfaces. The corresponding examples demonstrate their efficiency.

  • Interfacing product views through a mixed Shape Representation. Part 2: Model processing description
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2007
    Co-Authors: G. Drieux, J. -c. Léon, F. Guillaume, N. Chevassus, L. Fine, A. Poulat
    Abstract:

    Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. This Shape adaptation is considered as performed in the product view interface where a mixed Shape Representation reduces the prescriptive effects of the component models thus generated. Considered here as a second part, issues related to operators addressing the associative modifications of product models and, more specifically the product Shape description, are described as a complement of the first part. Among the product views, the concept of downstream digital mock-up serves as basis to illustrate the properties of the proposed approach. Associative modifications are addressed through Shape mapping issues. The product adaptation phase is here regarded as a process and the corresponding model is described showing how the concept of product assembly can be considered as subjected to multiple Representations.

Dariusz Jacek Jakobczak - One of the best experts on this subject based on the ideXlab platform.

  • ICCVG (1) - Shape Representation and Shape coefficients via method of Hurwitz-Radon matrices
    Computer Vision and Graphics, 2010
    Co-Authors: Dariusz Jacek Jakobczak
    Abstract:

    Computer vision needs suitable methods of Shape Representation and contour reconstruction. One of them called method of Hurwitz-Radon Matrices (MHR) can be used in Representation and reconstruction of Shapes of the objects in the plane. Another problem is connected with Shape coefficients. This paper contains the way of length estimation and area estimation via MHR method. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. The Shape is represented by the set of nodes. It is shown how to create the orthogonal and discrete OHR and how to use it in a process of Shape Representation and reconstruction. MHR method is interpolating the curve point by point without using any formula or function.

  • Shape Representation and Shape coefficients via method of hurwitz radon matrices
    International Conference on Computer Vision, 2010
    Co-Authors: Dariusz Jacek Jakobczak
    Abstract:

    Computer vision needs suitable methods of Shape Representation and contour reconstruction. One of them called method of Hurwitz-Radon Matrices (MHR) can be used in Representation and reconstruction of Shapes of the objects in the plane. Another problem is connected with Shape coefficients. This paper contains the way of length estimation and area estimation via MHR method. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. The Shape is represented by the set of nodes. It is shown how to create the orthogonal and discrete OHR and how to use it in a process of Shape Representation and reconstruction. MHR method is interpolating the curve point by point without using any formula or function.

  • application of hurwitz radon matrices in Shape Representation
    Applied Computer Science, 2010
    Co-Authors: Dariusz Jacek Jakobczak
    Abstract:

    Computer vision needs suitable methods of Shape Representation and contour reconstruction. One of them, invented by the author and called method of Hurwitz-Radon Matrices (MHR), can be used in Representation and reconstruction of Shapes of the objects in the plane. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. Shape is represented by the set of nodes. It is shown how to create the orthogonal and discrete OHR operator and how to use it in a process of Shape Representation and reconstruction. MHR method is interpolating the curve point by point without using any formula or function.

G. Drieux - One of the best experts on this subject based on the ideXlab platform.

  • Interfacing product views through a mixed Shape Representation. Part 2: Model processing description
    International Journal on Interactive Design and Manufacturing (IJIDeM), 2007
    Co-Authors: G. Drieux, J. -c. Léon, F. Guillaume, N. Chevassus, L. Fine, A. Poulat
    Abstract:

    Obtaining the digital Representation of the product model required for each product view is time consuming because component Shapes and their associated data need to be adapted. This Shape adaptation is considered as performed in the product view interface where a mixed Shape Representation reduces the prescriptive effects of the component models thus generated. Considered here as a second part, issues related to operators addressing the associative modifications of product models and, more specifically the product Shape description, are described as a complement of the first part. Among the product views, the concept of downstream digital mock-up serves as basis to illustrate the properties of the proposed approach. Associative modifications are addressed through Shape mapping issues. The product adaptation phase is here regarded as a process and the corresponding model is described showing how the concept of product assembly can be considered as subjected to multiple Representations.