The Extended Finite Element Method (XFEM) is a technique used in fracture mechanics to predict how objects deform as cracks form and propagate through them. Here, we propose the use of XFEM to model the deformations r...
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In this contribution, we farther examine our previous studies on the nonlinear texture image modelling based on Volterra series. The observed image, which is assumed to be expressed as an output of a two dimensional V...
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The problem of texture characterisation is attempted using a two-dimensional (2 - D) autoregressive (AR) modelling technique. Each distinct texture is represented by a different set of 2 - D AR model coefficients. A m...
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In this paper, a systolic array architecture for FSBMA is implemented by RTL-level VHDL for using as a motion estimation unit in low bit rate and real-time applications such as video telephony. This implementation is ...
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In this paper, a systolic array architecture for FSBMA is implemented by RTL-level VHDL for using as a motion estimation unit in low bit rate and real-time applications such as video telephony. This implementation is synthesized for two FPGA families, Xilinx Spartan II and Xilinx Virtex II and the results for area occupation and maximum opening frequency are presented. The results show it is possible to implement real-time video encoding systems with motion estimation, on a single FPGA chip.
Recent studies show that multiwavelet approaches give consistently better performance over traditional wavelet approaches in application such as denoising. It is because multiwavelet transform, with appropriate initia...
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Recent studies show that multiwavelet approaches give consistently better performance over traditional wavelet approaches in application such as denoising. It is because multiwavelet transform, with appropriate initialization, provides better representation of signals so that their difference from noise can be clearly identified. Traditional multiwavelet denoising only considers multiwavelets of multiplicity 2. In this paper, we first suggest a simple 2nd order orthogonal prefilter design method for multiwavelets of higher multiplicity. Then, we study how to select optimal threshold for each resolution level. Simulation results show that higher multiplicity wavelets usually give better denoising results and the proposed threshold estimator suggests good indication for optimal thresholds.
A series defining the antiderivative of an nth order differentiable function is defined. This series provides an explicit expression for the second part of the Fundamental Theorem of Calculus and can facilitate the es...
In this contribution, we further examine our previous studies on the nonlinear texture image modelling based on Volterra series. The observed image, which is assumed to be expressed as an output of a two dimensional V...
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In this contribution, we further examine our previous studies on the nonlinear texture image modelling based on Volterra series. The observed image, which is assumed to be expressed as an output of a two dimensional Volterra filter driven by a Gaussian input image, is corrupted by an independent Gaussian random noise. Both of the input image and filter parameters are unknown and hence, the problem can be classified as blind system identification. To estimate the unknown parameters, we formulate the equations that relate the parameters of the image model with the cumulant properties of the observed output image. The solution of the formulated equations which are highly nonlinear, is achieved through minimax type of optimization.
In this paper, two subband implementations of a frequency invariant beamformer (FIB) are studied. In the first structure, the received array signals are split into subbands and an FIB is operated in each of the corres...
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In this paper, two subband implementations of a frequency invariant beamformer (FIB) are studied. In the first structure, the received array signals are split into subbands and an FIB is operated in each of the corresponding decimated subbands, with a potential of achieving a lower computational complexity. As the spatio-temporal distribution of the subband signals is different from the original fullband signal, a modified design method of the FIB is proposed. Based on the subband implementation, we then change the sensor spacings of different subband signals so that lower frequency bands have a larger spacing, which results in a class of FIBs with scaled aperture with improved performance in lower frequencies. Several design examples are given to show the performance of our new structures.
The problem of texture characterisation is attempted using a two-dimensional (2-D) autoregressive (AR) modelling technique. Each distinct texture is represented by a different set of 2-D AR model coefficients. A metho...
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The problem of texture characterisation is attempted using a two-dimensional (2-D) autoregressive (AR) modelling technique. Each distinct texture is represented by a different set of 2-D AR model coefficients. A method to estimate AR model coefficients is proposed by relating the extended Yule-Walker system of equations in the third-order statistical domain to the same system in the second-order statistical domain using a constrained optimisation formulation. This method is applied to an image with a constant texture in block-by-block process, so that a number of sets of AR model coefficients are obtained. The minimum hierarchical clustering technique and a weighting scheme are then applied to these sets of coefficients, in order to obtain the final estimation.
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