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Adaptive Partitioning of Urban Facades
Chao-Hui Shen1 Shi-Sheng Huang1 Hongbo Fu2 Shi-Min Hu1
1TNList, Tsinghua University, Beijing 2City University of Hong Kong
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Abstract
Automatically discovering high-level facade structures in unorga-
nized 3D point clouds of urban scenes is crucial for applications
like digitalization of real cities. However, this problem is chal-
lenging due to poor-quality input data, contaminated with severe
missing areas, noise and outliers. This work introduces the con-
cept of adaptive partitioning to automatically derive a flexible and
hierarchical representation of 3D urban facades. Our key obser-
vation is that urban facades are largely governed by concatenated
and/or interlaced grids. Hence, unlike previous automatic facade
analysis works which are typically restricted to globally rectilin-
ear grids, we propose to automatically partition the facade in an
adaptive manner, in which the splitting direction, the number and
location of splitting planes are all adaptively determined. Such an
adaptive partition operation is performed recursively to generate a
hierarchical representation of the facade. We show that the con-
cept of adaptive partitioning is also applicable to flexible and ro-
bust analysis of image facades. We evaluate our method on a dozen
of LiDAR scans of various complexity and styles, and the image
facades from the eTRIMS database and the Ecole Centrale Paris
database. A series of applications that benefit from our approach
are also demonstrated.
1 Introduction
With the recent advances in LiDAR scanning devices, the acquisi-
tion of 3D point clouds from urban buildings is getting more ef-
ficient and more convenient. However, the captured point cloud
often suffers from severe missing data, noise and outliers, making
the reconstruction of architectural models with faithful geometry
and topology from such data rather challenging. The key to this
problem is to explore and utilize the characteristics of urban scenes
as prior knowledge, especially repetition of building elements in
facades. To obtain such architectural characteristics, the state-of-
the-art works [Zheng et al. 2010; Nan et al. 2010] rely on user as-
sistance, which would be labor intensive for applications like digi-
talization of real cities.
There exist automatic solutions for discovering facade structures in
single- or multi-view facade images [M¨ uller et al. 2007; Xiao et al.
2009; Musialski et al. 2010]. A common assumption made in those
works is that facades are inherently governed by global rectilin-
ear structures. That is, a facade can be split into building blocks
(e.g., windows) by a single rectilinear grid. Although there indeed
exist many real facades satisfying such assumption, it is not gen-
eral enough to handle many other patterns like asymmetric patterns
(Figure 1), which are also ubiquitous in urban scenes.
This work aims for a more flexible representation of high-level fa-
cade structures, which is based on the key observation: the high-
level structure of a facade is largely governed by either a rectilinear
grid or a mixture of rectilinear grids by concatenation and/or in-
terlacing. For examples, Figure 2 shows facades with concatenated
grids and interlaced grids. Therefore, how to identify different grids
of repetitive elements and their relations is our core problem.
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