Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures include, in at least one aspect, a fully automatic method of converting a generative design into an editable, watertight B-Rep by leveraging the generative solver input and representation to: (1) embed the exact input solid boundary surfaces where the design coincides with the input, (2) approximate everywhere else the design boundary with globally smooth, editable “organic” surfaces, and (3) join all surfaces to form a generative design output B-Rep.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures include, in at least one aspect, a fully automatic method of converting a generative design into an editable, watertight B-Rep by leveraging the generative solver input and representation to: (1) embed the exact input solid boundary surfaces where the design coincides with the input, (2) approximate everywhere else the design boundary with globally smooth, editable “organic” surfaces, and (3) join all surfaces to form a generative design output B-Rep.

Abstract: Methods, systems, and apparatus, including medium-encoded computer program products, for computer aided design of physical structures include, in at least one aspect, a fully automatic method of converting a generative design into an editable, watertight B-Rep by leveraging the generative solver input and representation to: (1) embed the exact input solid boundary surfaces where the design coincides with the input, (2) approximate everywhere else the design boundary with globally smooth, editable “organic” surfaces, and (3) join all surfaces to form a generative design output B-Rep.

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. 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: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for constructing a trim-free T-spline surface and control mesh for a NURBS surface control grid of a B-rep face; modifying the trim-free T-spline control mesh to align the trim-free T-spline surface boundary with a functional trimming curve; and redefining one or more faces in the modified trim-free T-spline control mesh that is adjacent to the trimming curve as a variable knot spline face.