三维社区建模与分析的共形几何代数方法

Conformal Geometric Algebra-Based 3D Resident Community Modeling and Analysis

利用共形几何代数的多维统一表达与分析优势,研究了集成多源数据的三维社区统一建模与分析方法。构建了基于多重向量存储结构的社区场景整体建模流程,实现了CityGML、DXF等多源数据的导入与集成,并设计了基于共形几何代数的对象运动表达与插值方法。以德国Waldbruecke村为例的验证结果显示,基于共形几何代数的三维社区建模可以较好地表达复杂社区对象,并可以有效支撑几何度量、动态对象跟踪、运动轨迹重建等功能实现。

Conformal Geometric Algehra（CGA） is a relatively new geometric model for geometric primitives representation, it al- so offers a language of operations to manipulate those primitives. Based on these advantages, this paper explored the method for multi-source data integration and unified modeling and analysis of the three dimensional resident community. As well as the storage structure founded on multi-vectors, the modeling procedures of the whole community scene were constructed, supporting multi-format data importing and integration such as CityGML and DXF. Furthermore, the moving object expression and dynami- cal interpolation methods were illustrated. The proposed modeling and analysis methods were experimented on the German Waldbruecke village data. The results suggest that the three dimensional resident community modeling based on CGA can effec- tively express complex community objects, as well as analysis functions e. g. geometric measurements, dynamical objects tracking and motion trajectory reconstruction.