Building geometry and discrete spline modeling technology research
|Course||Applied Computer Technology|
|Keywords||Building geometry Quadrilateral mesh Main lines of curvature Feature Geodesic Template Any plane Smoothness Deformation Error Subdivision Developable surface with Singular point T- Splines T- grid Manifolds ebj format T- grid local subdivision|
With the rapid socio-economic development, the modern shape of the building become more complex, in order to save costs, reduce the difficulty of design and construction , geometric design methods are increasingly being used to generate , analyze and process models . In this article , we focused on building model mesh generation , optimization and design aspects in conducting research and improving some algorithms. In the mesh generation , we use the principal curvature line , interactive set of characteristics , feature points and the direction of the boundary curve as a constraint parameterized by the template method to generate pure quadrilateral mesh, so that the overall direction of the grid along the direction of the principal curvatures , and through the mesh insert in the original principal curvature lines and precise geodesic points , so that the original mesh segmentation is more accurate. In the model optimization, we improved Pottmann et al optimization algorithms to improve efficiency of the algorithm , the algorithm increases the scope and flexibility through segmentation and optimization iterations architectural surface design , construction needs to get realistic model ; improved developable surfaces with singularities near the model generation method , so that the surface with better able to piece together . The design of the model , we propose the concept of extended T- mesh , the mesh can be used similar to the T- obj file storage format to facilitate T- spline representation ; based on the extended T- mesh grid , proposed a new T- spline knot insertion algorithm, by dividing it into mesh segmentation and blending function subdivision two processes , simplifying the algorithm.