2016
DOI: 10.1016/j.procs.2016.05.136
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Performance Analysis of Orthogonal and Biorthogonal Wavelets for Edge Detection of X-ray Images

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Cited by 35 publications
(12 citation statements)
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“…At that time, the idea of studying images simultaneously at different scales had been popular for years already. This provided the background for using orthogonal wavelet bases as a tool to describe the information contained in the image, from coarse approximation to high-resolution approximation, and led to the formulation of MRA [15,16]. Theoretically, a MRA of the space L 2 (R) consists of a sequence of successive approximation subspaces {Vj, j є Z} that satisfies the properties like monotonicity, completeness, dilation regularity, translation invariance and existence of orthogonal basis [16].…”
Section: Orthogonal Wavelet Transform (Biorthogonal and Reverse Biorthogonal)mentioning
confidence: 99%
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“…At that time, the idea of studying images simultaneously at different scales had been popular for years already. This provided the background for using orthogonal wavelet bases as a tool to describe the information contained in the image, from coarse approximation to high-resolution approximation, and led to the formulation of MRA [15,16]. Theoretically, a MRA of the space L 2 (R) consists of a sequence of successive approximation subspaces {Vj, j є Z} that satisfies the properties like monotonicity, completeness, dilation regularity, translation invariance and existence of orthogonal basis [16].…”
Section: Orthogonal Wavelet Transform (Biorthogonal and Reverse Biorthogonal)mentioning
confidence: 99%
“…Such a decomposition process can be repeated until the designed scale j is reached. This is how a DWT is implemented in nutshell [16]. Mathematically, we can define x j a (t) as the approximate information at scale j after the signal x(t) is projected onto the Vj space, ……(2) Where aj,k are called approximate coefficients and expressed as, ……(3) Finally, equation 3 expresses the orthogonal wavelet transform.…”
Section: Orthogonal Wavelet Transform (Biorthogonal and Reverse Biorthogonal)mentioning
confidence: 99%
“…It has better localization characteristic, and could adjust the time-frequency window according to actual situation automatically [9]. So it is more suitable to display the abnormality of the normal signal, namely, image edge detection [10][11][12].…”
Section: The Key Technology Of Obstacle Detectionmentioning
confidence: 99%
“…P.M.K.Prasad et al. [4] and paper [5] have discussed that there are two categories of traditional edge detection operators such as first order derivative/gradient based (Roberts, Prewitt and Sobel) and second order derivative (Laplacian, Laplacian of Gaussian and Difference of Gaussian). Canny edge detection can be optimal or running standard.…”
Section: Introductionmentioning
confidence: 99%