Abstract: A method, apparatus, and system provide the ability to design a convective cooling channel in a computer. Input data is acquired and includes a geometry of an object to be cooled, a design objective, and boundary conditions. Channel designs corresponding to the input data are generated using an iterative topology optimization. One of the channel designs is selected and output.

Abstract: A method and system provide the ability to modify a three-dimensional (3D) model. The 3D model is obtained and arbitrary faces of the model are selected. Shape modification operations to be performed are prescribed. A deformation lattice is constructed by setting up a lattice structure with control points. A space of the 3D model is mapped to a space of the lattice structure. The deformation lattice is evaluated by deforming the lattice using a selected set of control points. The evaluated deformed model is then output.

Abstract: A method, apparatus, and system provide the ability to design a convective cooling channel in a computer. Input data is acquired and includes a geometry of an object to be cooled, a design objective, and boundary conditions. Channel designs corresponding to the input data are generated using an iterative topology optimization. One of the channel designs is selected and output.

Abstract: A method and system provide the ability to modify a three-dimensional (3D) model. The 3D model is obtained and arbitrary faces of the model are selected. Shape modification operations to be performed are prescribed. A deformation lattice is constructed by setting up a lattice structure with control points. A space of the 3D model is mapped to a space of the lattice structure. The deformation lattice is evaluated by deforming the lattice using a selected set of control points. The evaluated deformed model is then output.

Abstract: A method and system provide the ability to modify a three-dimensional (3D) model in a shape editing system. The 3D model is obtained and faces of the model are selected as features (S). A subset (S?) of the model that are fixed are selected. Shape modification operations to be performed are prescribed. A deformation lattice is constructed by setting up a lattice structure with control points. Parametric space (u,v,w) is defined in terms of vertices of the lattice structure. Euclidean space (x,y,z) of the 3D model is mapped to the parametric space (u,v,w). The deformation lattice is evaluated by selecting control points, and either affine transformations are applied directly to the selected control points, or the deformation lattice is deformed based on a discrete fitting problem. The evaluated deformed model is then output.

Abstract: A method and system provide the ability to modify a three-dimensional (3D) model in a shape editing system. The 3D model is obtained and faces of the model are selected as features (S). A subset (S?) of the model that are fixed are selected. Shape modification operations to be performed are prescribed. A deformation lattice is constructed by setting up a lattice structure with control points. Parametric space (u,v,w) is defined in terms of vertices of the lattice structure. Euclidean space (x,y,z) of the 3D model is mapped to the parametric space (u,v,w). The deformation lattice is evaluated by selecting control points, and either affine transformations are applied directly to the selected control points, or the deformation lattice is deformed based on a discrete fitting problem. The evaluated deformed model is then output.

Abstract: A method is described for modeling heterogeneous material properties within a geometric model of an object (e.g., within a CAD model). Material functions are defined about material features (i.e., points, surfaces, or areas on or in the model) at which material properties are known, with the material functions each defining the behavior of that feature's material property at locations away from that feature. Combination of the material functions results in a single material function which defines the material properties throughout the geometric model. The resulting material function may then be used in subsequent analyses, such as in computerized behavior analysis of the geometric model. The material function may be constructed such that it meets desired constraints, and has desired smoothness and analytical properties, for ease of use in such subsequent analyses.