This paper describes B-spline interpolation and compares it with other reconstruction methods, especially in three-dimensional space. We first consider the B-spline bases in the terms of convolution in signal processi...
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This paper describes B-spline interpolation and compares it with other reconstruction methods, especially in three-dimensional space. We first consider the B-spline bases in the terms of convolution in signal processing. The presented analysis requires careful usage of continuous and discrete representation of B-spline. Emphasis is given to the important difference between B-spline interpolation and approximation. The difference is shown through frequency domain analysis, so we derive frequency responses of the B-spline interpolation and approximation. We conclude by demonstrating the use of several reconstruction filters and appropriate gradient estimators in volume rendering. Exact reconstruction in volume visualization is very important in many industrial applications, such as material cavity control.
Differential linear repetitive processes are a class of linear systems which can be used, for example, to model industrial processes such as long-wall coal cutting operations. The key feature of interest in this paper...
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Differential linear repetitive processes are a class of linear systems which can be used, for example, to model industrial processes such as long-wall coal cutting operations. The key feature of interest in this paper is the fact that information propagation in one of the two separate directions in such processes evolves continuously over a finite fixed duration and in the other it is, in effect, discrete. This paper develops discrete approximations for the dynamics of these processes and examines the effects of the approximation techniques used on two key control related properties, i.e. stability and the 2D linear systems structure of the resulting discrete stale space models.
The volume data is generally in the form of the large array of numbers. In order to render the object hidden in the volumetric data, we need to reconstruct or interpolate data values between the samples. The novelty p...
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The volume data is generally in the form of the large array of numbers. In order to render the object hidden in the volumetric data, we need to reconstruct or interpolate data values between the samples. The novelty presented in this paper is B-spline interpolation in the volumetric space. We show that this approach is better than currently used methods. We also present a hybrid approach, analyze this approach in frequency domain and compare it to B-spline interpolation. To enhance the quality during the volume visualization process it is important to enhance the quality of the reconstruction. It is of crucial importance to explore different undesired effects. If better reconstruction is performed the more accurate result of volume visualization process is achieved.
This paper develops the basis of a so-called 2D Lyapunov equation based approach to the stability analysis of discrete linear repetitive processes. The key feature of this equation is that, in contrast to the so-calle...
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This paper reports further development of the so-called ID Lyapunov equation based approach to the stability analysis of differential linear repetitive processes. In particular, it is shown that this approach leads to...
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Repetitive, or multipass, processes are a class of 2D systems of both practical and algorithmic/theoretical interest whose dynamics cannot be analysed or controlled using standard (1D) systems theory. Recently it has ...
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Repetitive, or multipass, processes are a class of 2D systems of both practical and algorithmic/theoretical interest whose dynamics cannot be analysed or controlled using standard (1D) systems theory. Recently it has been shown that the modelling of the boundary conditions, also known as the process initial conditions, is a crucial feature in the analysis and control of these processes. This paper presents some further results on the effects of so-called 'dynamic' process initial conditions on the controllability and stability properties of discrete linear repetitive processes. Previous work has shown that these dynamic process initial conditions alone can destroy the stability properties of these processes. Hence their effects must be 'adequately' accounted for the process modelling stage in order to ensure that subsequent analysis does not lead to incorrect results/conclusions. The main results developed in this paper can be summarised as follows. (i) Computationally efficient stability tests which can, in effect, be applied using standard, or 1D, linear systems tests. (ii) Characterisation of so-called pass controllability in the form of matrix rank based conditions. (iii) Conditions under which the dynamic process initial conditions can be selected to ensure stability and pass controllability.
Repetitive processes are a distinct class of 2D systems of both theoretic and practical interest. For example, they arise in the study of industrial processes such as long-wall coal cutting operations and also in the ...
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Repetitive processes are a distinct class of 2D systems of both theoretic and practical interest. For example, they arise in the study of industrial processes such as long-wall coal cutting operations and also in the modeling of classes of iterative learning control schemes. This paper describes the development of MATLAB based tools for control related analysis/controller design in the case of so-called discrete linear repetitive processes with particular emphasis on the iterative learning control application. Some areas for short to medium term further development are also briefly noted.
In this paper, we propose an robust controller design of rapid thermal processing (RTP) system using the structured uncertainty approach. Using the weighted mixed sensitivity function, we solve the robust stability pr...
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In this paper, we propose an robust controller design of rapid thermal processing (RTP) system using the structured uncertainty approach. Using the weighted mixed sensitivity function, we solve the robust stability problem against disturbance and temperature variation, and design a /spl mu/ controller using the curve fitting method against structured uncertainty. Finally, the simulation results are proposed to show the validity of the proposed method.
This paper presents the problem of observer-based fuzzy H/sup /spl infin// control for a class of uncertain nonlinear systems with time-varying delayed systems on the basis of Takagi-Sugeno fuzzy model. First, we desi...
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ISBN:
(纸本)0780349903
This paper presents the problem of observer-based fuzzy H/sup /spl infin// control for a class of uncertain nonlinear systems with time-varying delayed systems on the basis of Takagi-Sugeno fuzzy model. First, we design a fuzzy observer such that destination error system is globally, exponentially stable. Next, we design a fuzzy H/sup /spl infin// controller such that the closed loop system is globally, exponentially stable and achieves L/sub 2/ gain performance. The fuzzy control systems utilize the concept of the so-called parallel distributed compensation. A sufficient condition for the existence of robust fuzzy H/sup /spl infin// controllers and observers are given in terms of linear matrix inequalities (LMIs). The control gains can also be directly obtained from the LMI solutions.
The retina is an intelligent vision sensor indispensable in real-time image information processing of animals. The parallel image processing function of the retina was realized in an analog CMOS integrated circuit (vi...
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