Fast Algorithms for Low-Level Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Localization Performance Measure and Optimal Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal Edge Detectors for Ramp Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Optimal Infinite Impulse Response Edge Detection Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal Edge Detection using Expansion Matching and Restoration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Evaluation of Interest Point Detectors
International Journal of Computer Vision - Special issue on a special section on visual surveillance
Edge Detection with Embedded Confidence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Σynergos—Synergetic VisionResearch
Real-Time Systems
Optimal Threshold Estimation Using Prototype Selection
Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Evaluation of edge detectors performances with a discrete expression of Canny's criteria
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Gradient detection in discrete log-polar images
Pattern Recognition Letters
A Luminance- and Contrast-Invariant Edge-Similarity Measure
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new edge detector based on Fresnel diffraction
Pattern Recognition Letters
Feature controlled adaptive difference operators
Discrete Applied Mathematics
Omnidirectional edge detection
Computer Vision and Image Understanding
Adaptive and optimal difference operators in image processing
Pattern Recognition
Optimal difference operator selection
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Review article: Edge and line oriented contour detection: State of the art
Image and Vision Computing
A new effective and powerful image segmentation method
ISNN'05 Proceedings of the Second international conference on Advances in neural networks - Volume Part II
Improving difference operators by local feature detection
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Quantitative error measures for edge detection
Pattern Recognition
Applied Computational Intelligence and Soft Computing
Hi-index | 0.14 |
On one hand, optimal filters used for edge detection are usually developed in the continuous domain and then transposed by sampling to the discrete domain. On the other hand, the simpler filters like the Sobel filter are directly defined in the discrete domain. Most of the previous works on edge detection were made to elaborate optimal filters. But, few works present methods to compare them. In this paper, we define criteria to compare the performances of different filters in their application area: the discrete domain. Canny has defined three criteria to derive the equation of an optimal filter for step edge detection: (1) good detection, (2) good localization, and (3) low-responses multiplicity. These criteria seem to be good candidates for filters comparison. Unfortunately, they have been developed in the continuous domain, and their analytical expressions cannot be used in the discrete domain. Unlike previous works, our approach is based on a direct computation in the discrete domain. We establish three criteria with the same meaning as Canny's. Some comparisons with experimental results confirm the validity of our approach. This study highlighted the existence of two classes of derivative operators that are distinguished by whether or not the impulse response of the filter in continuous space domain is continuous on its center. These classes exhibit very different properties for the second and third criteria. We extend the use of the first and third criteria to the smoothing filters. We also define an optimal continuous filter according to the continuous third criterion and an optimal discrete filter according to the discrete third criterion. We compare the performances of the sampled version of the continuous filter to those of the optimal discrete filter. It appears that the sampled version of the continuous optimal filter is not optimal for the sampled data even in the case where the spectrum overlapping due to the sampling is reduced.