However, La-guerre function is easier and simpler in term of algorithm implementation than the other two functions. The result showed that the predictive control based on Kautz function gave a better tracking performance compared to Laguerre function and Delta function (conventional method). We compared the predictive controllers designed based on Delta, Laguerre and Kautz functions for both applications in term of tracking error and position error performances. In the second application predictive control is designed in order to track the de-sired motor position. The first implementation starting with the known trajectory, model predictive control based on linearized vehicle and tire model was used to follow the desired trajectory as close as possible, we performed a vehicle at middle speed maneuver on double lane change scenario. In this paper, we introduced and explored the Laguerre and Kautz functions as an orthonormal functions based of model predictive control ap-proach for automotive applications with particularly focuses on vehicle path following control and motor position control. We demonstrate our synthesis results for different scales of larger fluid scenes in several challenging scenarios and provide qualitative evaluation to our method. To generate temporally coherent 3D fluid scene over a fluid sequence, we transport fluid video information of colors, height values and particle texture coordinates over fluid sequence. It includes four steps of height field calculating, belt areas clustering according to main components of height field histogram, 3D fluid scene constituting, and transition smoothing both in geometry and appearance. Our method achieves a good trade off between the visual quality and the production cost. Realistic textures can enhance the synthesized fluid appearance, whereas the height field enable the generation of complex geometry and stochastic movement on the surface. Both rich realistic texture and height field of fluid particles are employed to study. We present an approach for synthesizing larger 3D fluid scene with frame example of video.
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