Error Analysis in the Computation of Orthogonal Rotation Invariant Moments

Reconstruction Error Analysis of Skin Lesion Images using Orthogonal Moments

“…The Zernike polynomials are orthogonal. Therefore it can draw out the Zernike moments from a ROI irrespective of the shape of the target [4]. The formulation of Zernike moment appears to be very favored, outperforming the options (in phrase of noise resilience, information redundancy and reconstruction capability).…”

“…Sergio Dominguez [3] proposed a technique for the recognition of 3-D object and pose analysis. Chandan et al [4] proposed a technique for the error computation, Sheng et al proposed OFMMs [5], [8] for pattern recognition. The amounts of OMs are invariant to the variation of the signal [6].…”

Stereo image zero-watermarking algorithm based on ternary polar harmonic Fourier moments and chaotic mapping

“…图 2 显示了极谐 -Fourier 矩的径向基函数 A n (r), 可以看出, 当 r → 0 时, A n (r) ∈ [0, 1], 这说 明使用高阶矩重构图像时, 图像中心区域的重构效果不会变差 [18] . 图 3 为使用极谐 -Fourier 矩和 圆谐 -Fourier 矩对大小为 128 × 128 的 Lena 图像及其二值图像的重构对比图 (最大矩阶数 n max = 5,10,15,20,25,30).…”

Invariant moments and transform-based unbiased nonlocal means for denoising of MR images

“…For further details one can refer Refs. [20,24]. Despite these errors, the magnitude of RIMTs provides satisfactory results for many practical applications.…”

“…The difference in CPU elapse time is more apparent for large images. Although in our experiments we adopt the fast computation of ZMs [22][23][24][25], ART has speed advantage over ZMs due to its low computation complexity, thus providing minimum CPU elapse time for all images. The proposed ZM-UNLM-based approach with order of moment p max = 4 uses only nine moments which are sufficient to represent the useful characteristics of an image, whereas the existing DCT-UNLM approach uses 15 DCT coefficients extracted in a zig-zag manner.…”