Research accurate 3-d reconstruction of porous material. Porous material structure is complex and has a lot of spaces. This paper put forward a porous material 3-d reconstruction algorithm based on homomorphism ball. Through determining pore space "homomorphism ball " and according it to define pore volume, the geometric shape of the porous pores material pore space was expressed with pore space body and shouts. The connection between the pore body and shouts was used to reconstructure the 3-D model. The experiment results show that the algorithm can reduce calculation amount and complete 3 -d reconstruction of porous material quickly.%研究多孔材料的三维模型重构问题,提高重构效率.多孔材料真实孔隙空间的结构异常复杂,孔隙空间的构成面较大,需要计算的孔隙像素量繁多,传统的基于二元表示法的重构方法,将孔隙空间逐一映射成像素点实现几何形态描述无法有效处理大量的孔隙像素量,巨大的计算量造成重构效率不高的问题.为此,提出了一种基于同态球的多孔材料三维模型重构方法.通过确定孔隙空间的”同态球”并据此定义孔隙体,将多孔材料的孔隙空间几何形态用孔隙体和吼道来表示,利用孔隙体和吼道之间的联系重构三维模型,避免了对孔隙空间逐一分析而造成的重构效率不高的问题.仿真实验表明,这种方法形象描述几何形态,有效减少了重构计算量,能够快速完成多孔乙材料三维模型的重构.
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