The procedure of Least Square-Errors curve fitting is extensively used in many computer applications for fitting a polynomial curve of a given degree to approximate a set of data. Although various methodologies exist to carry out curve fitting on data, most of them have shortcomings with respect to efficiency especially where huge datasets are involved. This paper proposes and analyzes a matric...

We present a model construction method based on a local fitting of polynomial functions to noisy data and building the entire model as a union of regions explained by such polynomial functions. Local fitting is shown to reduce to solving a polynomial eigenvalue problem where the matrix coefficients are data covariance and approximated noise covariance matrices that capture distortion effects by...

Tissue deformation in ultrasound imaging is an inevitable phenomenon and poses challenges to the development of many techniques related to ultrasound image registration, including multimodal image fusion, freehand three-dimensional ultrasound, and quantitative measurement of tissue geometry. In this thesis, a novel trajectory-based method to correct tissue deformation in ultrasound B-mode imagi...

BP decoding algorithm is a high-performance low-density parity-check (LDPC) code decoding algorithm, but because of its high complexity, it can’t be applied to the high-speed communications systems. So in order to further reduce the implementation complexity with the minimum affection to the system performance, , we proposed a BP algorithm based on Chebyshev polynomial fitting for its good appr...

We consider the estimation of the multivariate regression function m (x 1 , . . . ,xd) = E [ψ (Yd) | X 1 = x 1 , . . . ,Xd = xd], and its partial derivatives, for stationary random processes {Yi ,Xi} using local higher-order polynomial fitting. Particular cases of ψ yield estimation of the conditional mean, conditional moments and conditional distributions. Joint asymptotic normality is establi...

Tracy-Widom distribution can primely describe the limit of largest eigenvalue noise matrix, so it is widely used in field signal processing and wireless communication. The exact expression this very complex difficult to be applied practice. Therefore, an approximate method based on least squares proposed, which optimal fitting order coefficient are determined by minimizing average uncertainty. ...