Focus＋Context支持的群集三维对象变形可视化

In view of the complex construction, condominium and apartment in 3D city space, coherent aggregation and set of 3D volumetric object are deep analyzed. Generally, the visualization stays on the superficial appearance of the 3D object set, and it is difficult to visualize the inner 3D object clearly and is difficult to show the shape, location, depth and spatial relationship of inner 3D object. Coherent set of 3D objects has the characteristics of coherent neighbour, spatial aggregation and layout. Taking the spatial distribution, individual character, spatial topological relationship into consideration, the project develops modeling method of 3D coherent set of 3D object, pays attention on spatial discretization of 3D coherent set and uses different spatial transformation function to separate them. Equivalent topological transformation is carried out to deliver the spatial relationship between 3D object in coherent set. Base on Focus+Context techniques, “outer appearance and inner lining” visualization are implemented to show the 3D coherent set and inner individual simultaneously and to express correct spatial information, including spatial location, depth and relationship, which will support effectively 3D analysis, management and public service of 3D urban.

针对城市三维空间中普遍存在的地上下一体化建筑和房产、综合体建筑（包括裙楼和公寓），重点分析三维空间分割和它们的群集特点；聚焦三维对象群集紧密一致的邻接、聚集和排布特征，解决当前停留在群集整体的外表可视化（如楼宇外观）、难以准确的展现其内部三维对象（如房产）的位置、深度等问题，充分考虑其群集的分布特征、个体形状特征、空间拓扑特征，研究群集三维对象的一体化构建技术，重点探索变形函数对群集三维对象进行拆分打散和离散化，保持群集三维对象的空间排布和布局特征；发展群集三维对象的空间等价拓扑变换方法；利用Focus+Context技术，开展“外表与内里”的可视化技术，高效一致、符合认知的展现群集三维对象和突出焦点三维体，有效地传递群集场景中群体和个体三维体对象的信息（深度、结构特征和空间关系等），从而高效地支持城市三维空间的分析、管理和公众服务。

针对城市三维空间中普遍存在的地上下一体化建筑和房产、综合体建筑（包括裙楼和公寓），重点分析三维空间分割和它们的群集特点；聚焦三维对象群集紧密一致的邻接、聚集和排布特征，解决当前停留在群集整体的外表可视化（如楼宇外观）、难以准确的展现其内部三维对象（如房产）的位置、深度等问题，充分考虑其群集的分布特征、个体形状特征、空间拓扑特征，本课题研究群集三维对象的一体化构建技术，构建了变形函数对群集三维对象进行拆分打散和离散化，可以有效地保持群集三维对象的空间排布和布局特征；实现了“体-体”与“点-点”的对偶变换来表示群集三维对象的空间等价拓扑变换方法；利用Focus+Context技术，开展“外表与内里”的可视化实验，通过眼动实验来证明了本课题方法可以展现群集三维对象和突出焦点三维体，有效地传递群集场景中群体和个体三维体对象的信息（深度、结构特征和空间关系等），从而高效地支持城市三维空间的分析、管理和公众服务。

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