2007
DOI: 10.1109/lsp.2007.896434
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Robust Recognition of Planar Shapes Under Affine Transforms Using Principal Component Analysis

Abstract: Abstract-A scheme, based on Principal Component Analysis (PCA), is proposed that can be used for the recognition of 2D planar shapes under affine transformations. A PCA step is first used to map the object boundary to its canonical form, reducing the problem of the non-uniform sampling of the object contour introduced by the affine transformation. Then, a PCAbased scheme is employed to train a set of basis functions on the signals extracted from the objects' boundaries. The derived bases are used to analyze th… Show more

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Cited by 14 publications
(3 citation statements)
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“…The coordinates of the windows are updated as shown in where L is the original length of the pre-sawing lines and is equation (10). [16] equal to the width or height of the inspected image, and w is the width of the pre-sawing lines.…”
Section: B Steepest Descent Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The coordinates of the windows are updated as shown in where L is the original length of the pre-sawing lines and is equation (10). [16] equal to the width or height of the inspected image, and w is the width of the pre-sawing lines.…”
Section: B Steepest Descent Methodsmentioning
confidence: 99%
“…Some This inspection and alignment process in repeated until the approaches have attempted to couple other transformations error satisfies the tolerance level. After the misalignment is with Affine, such as Wavelet [7], MSA [8], cosine [9], and removed, the wafer is transferred to the tool position and it PCA [10]. These approaches are targeted toward recognition is cut by a diamond blade.…”
mentioning
confidence: 99%
“…To decrease the sensitivity to noise and local shape deformation, matching is usually done in a transformed domain. Examples of these approaches include the Fourier descriptor (FD) [13], the wavelet descriptor (WD) [2, 14–17] and principal components analysis descriptors [18].…”
Section: Introductionmentioning
confidence: 99%