## Symmetry-Based Façade Repair (2009)

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Venue: | VISION, MODELING, AND VISUALIZATION WORKSHOP 2009 |

Citations: | 4 - 2 self |

### BibTeX

@INPROCEEDINGS{Musialski09symmetry-basedfaçade,

author = {Przemyslaw Musialski and Peter Wonka and Meinrad Recheis and Stefan Maierhofer and Werner Purgathofer},

title = {Symmetry-Based Façade Repair},

booktitle = {VISION, MODELING, AND VISUALIZATION WORKSHOP 2009},

year = {2009},

publisher = {}

}

### OpenURL

### Abstract

In this paper we address the problem of removing unwanted image content in a single orthographic facade image. We exploit the regular structure present in building facades and introduce propagation process that is guided by the symmetry prevalent in the image. It removes larger unwanted image objects such as traffic lights, street signs, or cables as well as smaller noise, such as reflections in the windows. The output is intended as source for textures in urban reconstruction projects.

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Citation Context ...otivation. The symmetry propagation stage is the actual heart of our algorithm. Our idea behind this approach is motivated by the classical nonlinear diffusion filter as presented by Perona and Malik =-=[24]-=-. They presented a powerful method for discontinuity-preserving smoothing and denoising of images based on a divergence equation ∂I ∂t = div (g (‖∇I‖) ∇I) , where g (x) is a flux-stopping function, wh... |

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Citation Context ...n range. It is usually of the form g(x) = exp − x2 2σ2 ) where x denotes the distance in the range. Later it has been shown [4] that this solution is also equivalent to the bilateral smoothing filter =-=[29]-=-. Hereby the basic idea is to apply a constrained Gaussian filtering to the image, such that steep range transitions become preserved. As a constraint an edge-penalty function has been introduced, whi... |

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Citation Context ...nly in regions where the range difference is small enough to be emphasized by Gr. More recently, non-local means filtering has been proposed as a new class of solutions to the image denoising problem =-=[6, 7, 8]-=-. It is based on the observation that pixels with similar neighborhood usually appear quite often in an image. Non-local filtering exploits this observation by computing a noisereduced image by weight... |

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Citation Context ...nly in regions where the range difference is small enough to be emphasized by Gr. More recently, non-local means filtering has been proposed as a new class of solutions to the image denoising problem =-=[6, 7, 8]-=-. It is based on the observation that pixels with similar neighborhood usually appear quite often in an image. Non-local filtering exploits this observation by computing a noisereduced image by weight... |

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Citation Context ...strains the diffusion to pixels which have respectively small difference ( in range. It is usually of the form g(x) = exp − x2 2σ2 ) where x denotes the distance in the range. Later it has been shown =-=[4]-=- that this solution is also equivalent to the bilateral smoothing filter [29]. Hereby the basic idea is to apply a constrained Gaussian filtering to the image, such that steep range transitions become... |

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Citation Context ...omly from the uniform distribution. We improve the convergence and speed of the sampling by limiting the random samples to especially interesting points. In our implementation kwe use Harris corners =-=[10]-=-. This importance sampling restricts the algorithm to comparing only pixels which are known to contain local information. Maximum Similarity Function. The maximum similarity function counts how many t... |

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Citation Context ...n repetitive image patterns using a dominant peak extraction method from the autocorrelation surface. Further succeeding approaches specialize on detecting affine symmetry groups in 2d [16, 18] or 3d =-=[19, 25]-=-. Recent follow-ups of these approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to utilize the det... |

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Citation Context ...iven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to utilize the detected symmetry of regular [11] and near-regular patterns =-=[17, 14]-=- in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs [5, 22], fast matching distance maps [28] and MRFs [27]. In con... |

86 | Image-based procedural modeling of facades
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Citation Context ... and Zhu [9] detect regular rectangular structures in photographs of arbitrary scenes. Their approach combines bottom-up and top-down image interpretation by using an attribute grammar. Müller et al. =-=[21]-=- propose a hierarchical segmentation of façades inspired by shape grammars. Korah and Rasmussen [12] introduce a MCMC based technique to detect regular grids of windows in a MRF network. Further, they... |

83 | Image completion with structure propagation
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Citation Context ...rns [17, 14] in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs [5, 22], fast matching distance maps [28] and MRFs =-=[27]-=-. In contrast to our approach these algorithms do not use symmetry to fill in the missing details. 1.2 Overview The basic idea behind this paper is to exploit the repetitive occurrence of façade eleme... |

80 | Discovering structural regularity in 3D geometry
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Citation Context ...cialize on detecting affine symmetry groups in 2d [16, 18] or 3d [19, 25]. Recent follow-ups of these approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting =-=[23]-=-. Further, recent image-processing approaches tend to utilize the detected symmetry of regular [11] and near-regular patterns [17, 14] in order to model new images. One further branch of image repair ... |

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Citation Context ...n repetitive image patterns using a dominant peak extraction method from the autocorrelation surface. Further succeeding approaches specialize on detecting affine symmetry groups in 2d [16, 18] or 3d =-=[19, 25]-=-. Recent follow-ups of these approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to utilize the det... |

69 | J.M.: Nonlocal image and movie denoising
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Citation Context ...nly in regions where the range difference is small enough to be emphasized by Gr. More recently, non-local means filtering has been proposed as a new class of solutions to the image denoising problem =-=[6, 7, 8]-=-. It is based on the observation that pixels with similar neighborhood usually appear quite often in an image. Non-local filtering exploits this observation by computing a noisereduced image by weight... |

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Citation Context ...iley [3] shows that it is possible to detect repetitive image patterns by selffiltering in the frequency domain and Reisfeld et al. [26] introduce continuous symmetry transform for images. Liu et al. =-=[15]-=- detect crystallographic groups in repetitive image patterns using a dominant peak extraction method from the autocorrelation surface. Further succeeding approaches specialize on detecting affine symm... |

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Citation Context ...se approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to utilize the detected symmetry of regular =-=[11]-=- and near-regular patterns [17, 14] in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs [5, 22], fast matching dista... |

35 |
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Citation Context ...-regular patterns [17, 14] in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs [5, 22], fast matching distance maps =-=[28]-=- and MRFs [27]. In contrast to our approach these algorithms do not use symmetry to fill in the missing details. 1.2 Overview The basic idea behind this paper is to exploit the repetitive occurrence o... |

28 | A probabilistic approach to the semantic interpretation of building facades - georgia tech’s institutional repository
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Citation Context ...n this section we review façade reconstruction approaches, symmetry detection, image repair, and in-painting methods. We limit our review to techniques that act on a single image. Alegre and Dellaert =-=[1]-=- introduce a hierarchical context free grammar to obtain semantic description of buildings which is obtained by MCMC. Han and Zhu [9] detect regular rectangular structures in photographs of arbitrary ... |

19 | Bottom-up/top-down image parsing with attribute grammar
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Citation Context ...view to techniques that act on a single image. Alegre and Dellaert [1] introduce a hierarchical context free grammar to obtain semantic description of buildings which is obtained by MCMC. Han and Zhu =-=[9]-=- detect regular rectangular structures in photographs of arbitrary scenes. Their approach combines bottom-up and top-down image interpretation by using an attribute grammar. Müller et al. [21] propose... |

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Citation Context ...iven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to utilize the detected symmetry of regular [11] and near-regular patterns =-=[17, 14]-=- in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs [5, 22], fast matching distance maps [28] and MRFs [27]. In con... |

11 |
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Citation Context ...l methods for the detection of similarity and symmetry in images. Bailey [3] shows that it is possible to detect repetitive image patterns by selffiltering in the frequency domain and Reisfeld et al. =-=[26]-=- introduce continuous symmetry transform for images. Liu et al. [15] detect crystallographic groups in repetitive image patterns using a dominant peak extraction method from the autocorrelation surfac... |

9 |
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Citation Context ...h combines bottom-up and top-down image interpretation by using an attribute grammar. Müller et al. [21] propose a hierarchical segmentation of façades inspired by shape grammars. Korah and Rasmussen =-=[12]-=- introduce a MCMC based technique to detect regular grids of windows in a MRF network. Further, they propose [13] a method to automatically complete façade images based on PCA. Apart from these highly... |

9 |
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Citation Context ...a hierarchical segmentation of façades inspired by shape grammars. Korah and Rasmussen [12] introduce a MCMC based technique to detect regular grids of windows in a MRF network. Further, they propose =-=[13]-=- a method to automatically complete façade images based on PCA. Apart from these highly specialized solutions there are more M. Magnor, B. Rosenhahn, H. Theisel (Editors)Input Image Region Mask Symme... |

9 |
EKLUNDH J.: Detecting symmetry and symmetric constellations of features
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Citation Context ...raphic groups in repetitive image patterns using a dominant peak extraction method from the autocorrelation surface. Further succeeding approaches specialize on detecting affine symmetry groups in 2d =-=[16, 18]-=- or 3d [19, 25]. Recent follow-ups of these approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to ... |

7 |
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Citation Context ...raphic groups in repetitive image patterns using a dominant peak extraction method from the autocorrelation surface. Further succeeding approaches specialize on detecting affine symmetry groups in 2d =-=[16, 18]-=- or 3d [19, 25]. Recent follow-ups of these approaches introduce data-driven modeling methods like symmetrization [20] and 3d lattice fitting [23]. Further, recent image-processing approaches tend to ... |

5 |
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Citation Context ...ted symmetry of regular [11] and near-regular patterns [17, 14] in order to model new images. One further branch of image repair are in-painting algorithms. Example techniques include the use of PDEs =-=[5, 22]-=-, fast matching distance maps [28] and MRFs [27]. In contrast to our approach these algorithms do not use symmetry to fill in the missing details. 1.2 Overview The basic idea behind this paper is to e... |

3 | Compressed facade displacement maps
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Citation Context ...egment the unwanted image elements prior to running the algorithm, except for providing a coarse region mask. The output is intended to serve as input to rendering pipelines such as, e.g., Ali et al. =-=[2]-=-. We believe that our work is a useful solution to an important image processing step necessary in urban reconstruction projects. Acknowledgments We would like to acknowledge financial support from WW... |

3 |
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Citation Context ... we detect the dominant translational and reflective symmetries and propagate the symmetry over the image automatically. general methods for the detection of similarity and symmetry in images. Bailey =-=[3]-=- shows that it is possible to detect repetitive image patterns by selffiltering in the frequency domain and Reisfeld et al. [26] introduce continuous symmetry transform for images. Liu et al. [15] det... |