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## Canny edge detection enhancement by scale multiplication (2005)

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- [www4.comp.polyu.edu.hk]
- [www4.comp.polyu.edu.hk]
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### Other Repositories/Bibliography

Venue: | IEEE Trans. Pattern Anal. Machine Intell |

Citations: | 36 - 5 self |

### Citations

4675 | A Computational Approach to Edge Detection.”
- Canny
- 1986
(Show Context)
Citation Context ...nted. Index Terms—Edge detection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], =-=[2]-=-, [3], [4], [5], [6], [7], [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presente... |

3207 |
A Wavelet Tour of Signal Processing.
- Mallat
- 1999
(Show Context)
Citation Context ...thesize the varieties of edge structures. The idea of scale multiplication was first exploited by Rosenfeld in [3], where it is shown that the scale products can improve the edge localization. Mallat =-=[10]-=- illustrated mathematically that signals and noise have different singularities and edge structures present observable magnitudes along the scales, while noise decreases rapidly. With this observation... |

1287 | Theory of edge detection,”
- Marr, Hildreth
- 1980
(Show Context)
Citation Context ...presented. Index Terms—Edge detection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed =-=[1]-=-, [2], [3], [4], [5], [6], [7], [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first pre... |

361 | Robust anisotropic diffusion.
- Black, Sapiro, et al.
- 1998
(Show Context)
Citation Context ...on, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], [4], [5], [6], [7], =-=[8]-=-, [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well-known three criteri... |

92 |
Wavelet transform domain filters: A spatially selective noise filtration technique [J].
- Xu, Weaver, et al.
- 1994
(Show Context)
Citation Context ... mathematically that signals and noise have different singularities and edge structures present observable magnitudes along the scales, while noise decreases rapidly. With this observation, Xu et al. =-=[11]-=- proposed a wavelet-based spatially selective filtering technique by multiplying the adjacent scales. Sadler and Swami [12] applied the wavelet-multiscale-products to step detection and estimation and... |

64 |
Multidimensional Gaussian Distribution,
- Miller
- 1964
(Show Context)
Citation Context ...tputs of noise nðxÞ, so they are jointly Gaussian. Let X * colf&1;&2; 1; 2; 1; 2g. The mean vector and covariance matrix of X * are M * EX * Š and EðX * M * ÞðX * M * Þ T Š. The pdf of X * is =-=[14]-=- PrðX * 1 Þ ð2 Þ 3 1 pffiffiffiffiffiffiffi exp j j 2 X* M * Þ T 1 X * M * Þ ; ð3:7Þ where j j is the determinant of matrix . The elements of M * EX * Š are computed as E&iŠ H si G ð0Þ A, E iŠ... |

47 |
Analysis of multiscale products for step detection and estimation,
- Sadler, Swami
- 1999
(Show Context)
Citation Context ... the scales, while noise decreases rapidly. With this observation, Xu et al. [11] proposed a wavelet-based spatially selective filtering technique by multiplying the adjacent scales. Sadler and Swami =-=[12]-=- applied the wavelet-multiscale-products to step detection and estimation and Bao and Zhang [13] presented a denoising scheme by thresholding the multiscale products. Inspired by the work of Canny [2]... |

46 | Noise reduction for magnetic resonance images via adaptive multiscale products thresholding.
- Bao, Zhang
- 2003
(Show Context)
Citation Context ...elet-based spatially selective filtering technique by multiplying the adjacent scales. Sadler and Swami [12] applied the wavelet-multiscale-products to step detection and estimation and Bao and Zhang =-=[13]-=- presented a denoising scheme by thresholding the multiscale products. Inspired by the work of Canny [2] and others [5], [6] on criteria of edge detection filters, we define the detection and localiza... |

26 |
deFigueiredo, “On the localization performances measure and optimal edge detection
- Tagare, P
- 1986
(Show Context)
Citation Context ...ms—Edge detection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], [4], =-=[5]-=-, [6], [7], [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well-know... |

21 |
Adaptive determination of filter scales for edge detection [J].
- Jeong, Kim
- 162
(Show Context)
Citation Context ...cale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], [4], [5], [6], [7], [8], =-=[9]-=-. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well-known three criteria of ... |

19 |
Comparison of edge detection algorithms using a structure from motion task
- Shin, Goldgof, et al.
(Show Context)
Citation Context ...tection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], [4], [5], [6], =-=[7]-=-, [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well-known three cr... |

15 |
On optimal linear filtering for edge detection
- Demigny
(Show Context)
Citation Context ...x Terms—Edge detection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], =-=[4]-=-, [5], [6], [7], [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well... |

11 | A nonlinear edge detection technique - Rosenfeld - 1970 |

8 |
On the Edge Location Error for Local Maximum and Zero Crossing Edge Detectors
- koplowitz, Greco
- 1994
(Show Context)
Citation Context ...ge detection, scale multiplication, multiscale analysis. 1 INTRODUCTION æ EDGES carry important information of an image. Numerous edge detection techniques have been proposed [1], [2], [3], [4], [5], =-=[6]-=-, [7], [8], [9]. The common approach is to apply the first (or second) derivative to the smoothed image and then find the local maxima (or zero-crossings). Canny [2] first presented the well-known thr... |

1 |
For more information on this or any other computing topic, please visit our Digital Library at www.computer.org/publications/dlib
- Pratt
- 1991
(Show Context)
Citation Context ...(d) Edge map by ADED. (e) Edge map by the proposed SMED with s1 and s2. To objectively compare the edge detection results for this synthetic image, the measurement figure of merit F proposed by Pratt =-=[15]-=- is used to evaluate the performance quantitatively: Fig. 5. (a) Noisy image House. (b) Edge map by CED at a small scale s1. (c) Edge map by CED at a large scale s2. (d) Edge map by ADED. (e) Edge map... |