New design tools have created a growing interest for presenting complex geometries and patterns. The need to form curved geometries of facades, without incurring high construction costs and time increases, presents on...New design tools have created a growing interest for presenting complex geometries and patterns. The need to form curved geometries of facades, without incurring high construction costs and time increases, presents one of the most complex design challenges for any project. In this paper, we present and demonstrate a new computational framework for the creation of patterns on top of facades, via cladding of panels and honeycomb structures. The tool describes a given region on a base model; dealing particularly with location, size and orientation of general geometric features on the surface of such model. The user inputs curves that manifest the desired user＇s intention for the panels and a set of seed features that correspond to the initial boundary conditions of a Riemannian metric tensor field. The system interpolates the tensors defined by input features and input curves by solving a Laplace-Beltrami partial differential equation over the entire domain. We show a fast clustering and search operations for correct panel utilization based on size quantization as design variable and implemented via Voronoi segmentation. We present honeycomb structures that can be retrieved from the fundamental mesh producing another option for facade creation and ideation. The system connects to a geometric modeling kernel of a commercial CAD package; the system places features on top of the base model facade using boolean operations from the core geometdc engine via its programming interface calls. With this computational tool, thousands of dad panels can be visualized and developed within minutes.展开更多
In this paper, the surface tessellation problem is explored, in particular, the task of meshing a surface with the added consideration of incorporating constructible building components. When a surface is tessellated ...In this paper, the surface tessellation problem is explored, in particular, the task of meshing a surface with the added consideration of incorporating constructible building components. When a surface is tessellated into discrete counterparts, certain unexpected conditions usually occur at the boundary of the surface, in particular, when the surface is being trimmed. For example, irregularly shaped panels form at the trimmed edges. To reduce the number of irregular panels that may form during the tesseUation process, this paper presents an algorithmic approach to restructuring the surface tessellation by investigating irregular boundary conditions. The objective of this approach is to provide an alternative way for freeform surface manifestation from a well-structured discrete model of the given surface.展开更多
文摘New design tools have created a growing interest for presenting complex geometries and patterns. The need to form curved geometries of facades, without incurring high construction costs and time increases, presents one of the most complex design challenges for any project. In this paper, we present and demonstrate a new computational framework for the creation of patterns on top of facades, via cladding of panels and honeycomb structures. The tool describes a given region on a base model; dealing particularly with location, size and orientation of general geometric features on the surface of such model. The user inputs curves that manifest the desired user＇s intention for the panels and a set of seed features that correspond to the initial boundary conditions of a Riemannian metric tensor field. The system interpolates the tensors defined by input features and input curves by solving a Laplace-Beltrami partial differential equation over the entire domain. We show a fast clustering and search operations for correct panel utilization based on size quantization as design variable and implemented via Voronoi segmentation. We present honeycomb structures that can be retrieved from the fundamental mesh producing another option for facade creation and ideation. The system connects to a geometric modeling kernel of a commercial CAD package; the system places features on top of the base model facade using boolean operations from the core geometdc engine via its programming interface calls. With this computational tool, thousands of dad panels can be visualized and developed within minutes.
文摘In this paper, the surface tessellation problem is explored, in particular, the task of meshing a surface with the added consideration of incorporating constructible building components. When a surface is tessellated into discrete counterparts, certain unexpected conditions usually occur at the boundary of the surface, in particular, when the surface is being trimmed. For example, irregularly shaped panels form at the trimmed edges. To reduce the number of irregular panels that may form during the tesseUation process, this paper presents an algorithmic approach to restructuring the surface tessellation by investigating irregular boundary conditions. The objective of this approach is to provide an alternative way for freeform surface manifestation from a well-structured discrete model of the given surface.
