Present changes in land property originate from sizable density growth of the urban environment, led by the high demand of land, especially in industrial and commercial centers. This urbanization development - above and below ground - causes an acute need for developing land administration systems to accommodate current and future demands in land management on the one hand, and urban planning perspectives on the other hand. One approach calls for the design of 3D cadastral registration and management systems, which are planned to replace the well-established 2D systems. One of the key processes that these systems should handle for various cadastral workflows, such as parcel insertion and partition, is accurately determining the spatial topological relationship that exist between 3D Volumetric Parcels. These processes are relatively simple to implement between non-complex 3D Volumetric Parcels, but the reality is that the 3D Volumetric Parcels are mostly geometrically complex. In this paper, we suggest methods and processes based on simplifying unbounded, hollowed, curved, and concaved 3D Volumetric Parcels to enable their robust and accurate spatial relationship determination. As part of the comprehensive solution, we propose a subdivision algorithm used for concaved 3D Volumetric Parcels. We have analyzed the various processes on a realistic simulation, proving that the proposed processes were accurate in handling complex 3D Volumetric Parcels by automatically validating their spatial relatioships. We believe that implementing and embedding the developed set of tools in 3D land administration systems is a step forward in the realization of comprehensive land processes that are essential for the automatic management of our complex and developing urbanization.

目前土地财产的变化源于城市环境的大规模密度增长，由土地的高需求带动，特别是在工业和商业中心。这种城市化发展——地上和地下——迫切需要开发土地管理系统，一方面满足当前和未来土地管理的需求，另一方面满足城市规划的需求。一种方法要求设计 3D 地籍登记和管理系统，该系统计划取代完善的 2D 系统。这些系统应为各种地籍工作流（例如宗地插入和分区）处理的关键流程之一是准确确定 3D 体积宗地之间存在的空间拓扑关系。这些过程在非复杂的 3D 体积地块之间实现起来相对简单，但实际情况是 3D 体积地块大多在几何上是复杂的。在本文中，我们提出了基于简化无界、空心、弯曲和凹形 3D 体积地块的方法和过程，以实现其稳健而准确的空间关系确定。作为综合解决方案的一部分，我们提出了一种用于凹形 3D 体积包裹的细分算法。我们已经在真实模拟中分析了各种过程，通过自动验证它们的空间关系，证明所提出的过程在处理复杂的 3D 体积包裹方面是准确的。