Corner Detection Are Useful for Computer Vision Applications

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Corner detection and its parameters: position, model and orientation are useful for many computer vision applications, such as object recognition, matching, segmentation, 3D reconstruction, motion estimation [2, 3, 4, 34.] indexing, retrieval, robot navigation and in our case edge tracking from geometry design. This need has driven the development of a large number of corner detectors [1, 5, 6, 7, 8, 9, 10, 11, 12, 13.]. Other methods for corner detection are described in [14, 15]. These detectors compete with each other in terms of precision localization, accuracy, speed, and information they provide. Model classification and orientation are the most interest information needed in process of edge tracking.
For some of these approaches, the CRF (Corner-Response-Function) can be shown to be invariant in scale, rotation or even affine transformations.
Here we review the literature to place our contribution in context. The attempt to simultaneous realization of corner detection and description of its properties is proved to be a complex work. By contrast, the decoupling of these two operations in two distinct stages simplifies and creates efficient problem solving.
A. Corner detection:
A broad variety of corner detectors are presented in literature. One of the first interest operators was developed by Moravec (Moravec, 1977). The methods of detection can be grouped broadly into three categories: grey-level based methods [1, 5, 11, 12, 13, 18, 36], contour based methods [24, 25, 26, 27, 28] and parametric model based methods [30, 31, 32, 33].
1) grey-level corner detectors:
A wide number of detectors operate directly on grey-level images without requiring edge detection that is an inadequate model for patches of texture and blurred ima...

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...unction defined by 4 angles with one equal to .
• V-: junction defined by 2 angles different to .
• T-: junction defined by 3 angles with one equal to .
• X-: junction defined by 4 angles, such that the sum of each two consecutives angles equal to .
• Y-: junction defined by 3 angles different to
Corner proprieties play an important role in geometry analysis, in our context these proprieties have mathematical meaning. For example, the K- model means that the current corner is a reflection point or the axis oriented by the angle is an axe of reflection c.f.(Fig 6).

III. EXPERIMENTAL RESULTS
The obtained results show generally good behavior of the proposed method, implemented in Matlab.
Two types of images were used for tests: synthetic images (figure 8) and natural images (figure 11). Tables 1, 2, show the errors for some angles with our measuring method.

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