### Citations

1881 | Scale-space and edge detection using anisotropic diffusion
- Perona, Malik
- 1990
(Show Context)
Citation Context ... for all other filters presented in this section the probability that crack pixels will contribute to the output is small but not negligible. B. Controlled Anisotropic Diffusion Anisotropic diffusion =-=[20]-=- is an image enhancement method that successfully combines smoothing of slowly varying intensity regions and edge enhancement. Smoothing is modelled as a diffusion that is allowed along homogeneous re... |

1006 | Texture synthesis by non-parametric sampling
- Leung
- 1999
(Show Context)
Citation Context ...these areas assume that the regions where information has to be filled-in are known. Different approaches for interpolating information in structured [6], [7], [8], [9], [10] and textured image areas =-=[11]-=- have been developed. The former are usually based on partial differential equations (PDE) and on the calculus of variations whereas the latter rely on texture synthesis principles. A technique that d... |

579 |
A method and means for recognizing complex patterns
- Hough
- 1962
(Show Context)
Citation Context ...tal, one can use only the North and the South neighbors, since the West and the East neighbors belong also to the crack. In order to find the directions of the cracks, the Hough Transform was applied =-=[21]-=-. The restoration results of this filter can be seen in Figures 9-12. The orientation-sensitive controlled anisotropic diffusion method gave the best results among all crack-filling methods presented ... |

435 |
Multivariate Observations
- Seber
- 1984
(Show Context)
Citation Context ...n−1}; (6) where Xn−1 is the last vector assigned to kernel j. The update of the diagonal elements of the corresponding covariance matrix is performed using the median of the absolute deviations (MAD) =-=[19]-=- of the inputs currently assigned to this kernel: σj = marginal median{|X0 − µj| , . . . , |Xn−1 − µj|} 0.6745 In the previous expression, σj denotes the vector containing the diagonal elements of the... |

222 | Simultaneous structure and texture image inpainting
- Bertalmio, Vese, et al.
(Show Context)
Citation Context ...s. A technique that decomposes the image to textured and structured areas and uses appropriate interpolation techniques depending on the area where the missing information lies has also been proposed =-=[12]-=-. The results obtained by these techniques are very good. A methodology for the restoration of cracks on digitized paintings, which adapts and integrates a number of image processing and analysis tool... |

201 |
A.N.Venetsanopoulos, Nonlinear Digital Filters: Principles and Applications
- Pitas
- 1990
(Show Context)
Citation Context ...udy) with the structuring set nB, defined as: nB = B ⊕ B ⊕ · · · ⊕ B (n times) (2) In the previous equation ⊕ denotes the dilation operation. A square or a circle can be used as structuring element B =-=[15]-=-. The final structuring set nB is evaluated only once using (2) and is used subsequently in the opening operation of (1). The opening fnB of a function is a low-pass nonlinear filter that erases all p... |

152 | Filling-in by joint interpolation of vector fields and gray levels
- Ballester, Beltramio, et al.
(Show Context)
Citation Context ...bjects within an image. Methods developed in these areas assume that the regions where information has to be filled-in are known. Different approaches for interpolating information in structured [6], =-=[7]-=-, [8], [9], [10] and textured image areas [11] have been developed. The former are usually based on partial differential equations (PDE) and on the calculus of variations whereas the latter rely on te... |

124 | Non-texture inpainting by curvature-driven diffusions
- Chan, Shen
- 2001
(Show Context)
Citation Context ...hin an image. Methods developed in these areas assume that the regions where information has to be filled-in are known. Different approaches for interpolating information in structured [6], [7], [8], =-=[9]-=-, [10] and textured image areas [11] have been developed. The former are usually based on partial differential equations (PDE) and on the calculus of variations whereas the latter rely on texture synt... |

121 | Level lines based disocclusion
- Masnou, Morel
- 1998
(Show Context)
Citation Context ...s within an image. Methods developed in these areas assume that the regions where information has to be filled-in are known. Different approaches for interpolating information in structured [6], [7], =-=[8]-=-, [9], [10] and textured image areas [11] have been developed. The former are usually based on partial differential equations (PDE) and on the calculus of variations whereas the latter rely on texture... |

98 |
Detection of missing data in image sequences,”
- Kokaram, Morris, et al.
- 1995
(Show Context)
Citation Context ...rs is presented in [2]. Crack detection and removal bears certain similarities with methods proposed for the detection and removal of scratches and other artifacts from motion picture films [3], [4], =-=[5]-=-. However, such methods rely on information obtained over several adjacent frames for both artifact detection and filling and thus are not directly applicable in the case of painting cracks. Other res... |

81 | Digital Inpainting based on the Mumford-Shah-Euler image model
- Esedoglu, Shen
(Show Context)
Citation Context ...n image. Methods developed in these areas assume that the regions where information has to be filled-in are known. Different approaches for interpolating information in structured [6], [7], [8], [9], =-=[10]-=- and textured image areas [11] have been developed. The former are usually based on partial differential equations (PDE) and on the calculus of variations whereas the latter rely on texture synthesis ... |

34 | Median radial basis function neural network,”
- Bors, Pitas
- 1996
(Show Context)
Citation Context ...s separation can be achieved by classification using a Median Radial Basis Function (MRBF) neural network, which is a robust, order statistics based, variation of Radial Basis Function (RBF) networks =-=[16]-=-. RBFs are two-layer feedforward neural networks [17], that model a mapping between a set of input vectors and a set of outputs. The network architecture is presented n Figure 3. RBFs incorporate an i... |

29 |
Image processing for virtual restoration of artworks
- Barni, Bartolini, et al.
- 2000
(Show Context)
Citation Context ...e., without the cracks. Furthermore, it can be used as a non-destructive tool for the planning of the actual restoration. A system that is capable of tracking and interpolating cracks is presented in =-=[1]-=-. The user should manually select a point on each crack to be restored. A method for the detection of cracks using multi-oriented November 30, 2005 DRAFT 1sGabor filters is presented in [2]. Crack det... |

29 | Detection and removal of line scratches in motion picture films,”
- Joyeux, Buisson, et al.
- 1999
(Show Context)
Citation Context ...abor filters is presented in [2]. Crack detection and removal bears certain similarities with methods proposed for the detection and removal of scratches and other artifacts from motion picture films =-=[3]-=-, [4], [5]. However, such methods rely on information obtained over several adjacent frames for both artifact detection and filling and thus are not directly applicable in the case of painting cracks.... |

25 |
Iterative image transformations for an automatic screening of cervical smears.
- Meyer
- 1979
(Show Context)
Citation Context ...ics. Therefore, a crack detector can be applied on the luminance component of an image and should be able to identify such minima. A crack detection procedure based on the so-called top-hat transform =-=[14]-=- is proposed in this paper. The top-hat transform is a grayscale morphological filter defined as follows: y(x) = f(x) − fnB(x) (1) November 30, 2005 DRAFT 2swhere fnB(x) is the opening of the function... |

15 | Digital Restoration of Painting Cracks
- Giakoumis, Pitas
- 1998
(Show Context)
Citation Context ...digitized paintings, which adapts and integrates a number of image processing and analysis tools is proposed in this paper. The methodology is an extension of the crack removal framework presented in =-=[13]-=-. The technique consists of the following stages: • Crack detection. • Separation of the thin dark brush strokes, which have been misidentified as cracks. • Crack filling (interpolation). A certain de... |

15 | Order statistics learning vector quantizer
- Pitas, Kotropoulos, et al.
- 1996
(Show Context)
Citation Context ...n the other hand, the MRBF algorithm which has been used in our case is based on robust estimation [16] of the hidden unit parameters. November 30, 2005 DRAFT 5 (5)sIt employs the Marginal Median LVQ =-=[18]-=- that selects the winner kernel using (5) and utilizes the marginal median of the input vectors currently assigned to this kernel for the update of the center vector (location parameter) µj of the ker... |

13 | Craquelure Analysis for Content-based Retrieval
- Abas, Martinez
(Show Context)
Citation Context ...esented in [1]. The user should manually select a point on each crack to be restored. A method for the detection of cracks using multi-oriented November 30, 2005 DRAFT 1sGabor filters is presented in =-=[2]-=-. Crack detection and removal bears certain similarities with methods proposed for the detection and removal of scratches and other artifacts from motion picture films [3], [4], [5]. However, such met... |

1 |
Detection of missing data in image sequences”,IEEE
- Kokaram, Morris, et al.
- 1995
(Show Context)
Citation Context ...filters is presented in [2]. Crack detection and removal bears certain similarities with methods proposed for the detection and removal of scratches and other artifacts from motion picture films [3], =-=[4]-=-, [5]. However, such methods rely on information obtained over several adjacent frames for both artifact detection and filling and thus are not directly applicable in the case of painting cracks. Othe... |

1 |
Neural Networks, A Comprehensive Fountation, 2nd Edition
- Haykin
- 1999
(Show Context)
Citation Context ...a Median Radial Basis Function (MRBF) neural network, which is a robust, order statistics based, variation of Radial Basis Function (RBF) networks [16]. RBFs are two-layer feedforward neural networks =-=[17]-=-, that model a mapping between a set of input vectors and a set of outputs. The network architecture is presented n Figure 3. RBFs incorporate an intermediate, hidden layer where each hidden unit impl... |