Layered analysis of irregular facades via symmetry maximization
Hao Zhang, Kai Xu, Wei Jiang, Jinjie Lin, Daniel Cohen-Or, Baoquan Chen
In ACM Transactions on Graphics, 32(4), July 2013.
Abstract: 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.
@article{Zhang:2013:LAO,
author = {Hao Zhang and Kai Xu and Wei Jiang and Jinjie Lin and Daniel Cohen-Or and Baoquan Chen},
title = {Layered analysis of irregular facades via symmetry maximization},
journal = {ACM Transactions on Graphics},
volume = {32},
number = {4},
pages = {121:1--121:10},
month = jul,
year = {2013},
}
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