Layered analysis of irregular facades via symmetry maximization

作者：Hao Zhang, Kai Xu, Wei Jiang, Jinjie Lin, Daniel Cohen‐Or, Baoquan Chen · 发表于：ACM Transactions on Graphics · 年份：2013 · DOI：10.1145/2461912.2461923 · 被引用次数：73 · 研究领域：Image Retrieval and Classification Techniques、Advanced Image and Video Retrieval Techniques、3D Surveying and Cultural Heritage

We present an algorithm for hierarchical and layered analysis of irregular facades, seeking a high-level understanding of facade structures. By introducing layering into the analysis, we no longer view a facade as a flat structure, but allow it to be structurally separated into depth layers, enabling more compact and natural interpretations of building facades. Computationally, we perform a symmetry-driven search for an optimal hierarchical decomposition defined by split and layering operations applied to an input facade. The objective is symmetry maximization , i.e., to maximize the sum of symmetry of the substructures resulting from recursive decomposition. To this end, we propose a novel integral symmetry measure, which behaves well at both ends of the symmetry spectrum by accounting for all partial symmetries in a discrete structure. Our analysis results in a structural representation, which can be utilized for structural editing and exploration of building facades.