By Kupiainen M., Sjogreen B.
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Extra info for A Cartesian Embedded Boundary Method for the Compressible Navier-Stokes Equations
Acknowledgement. This work was partially supported by CONACyT, México, under grant 45306. References 1. : Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola. Pattern Recognition 34(12), 2283–2303 (2001) 2. : Direct least square fitting of ellipses. IEEE Patt. An. & Mach. Intell. 21(5) (May 1999) 3. : Direct and specific least-square fitting of hiperbolae and ellipses. Jounal of Electronic Imaging 13(3), 492–503 (2004) 4. : Application of moment and fourier descriptors to the accurate estimation of elliptical shape parameters.
Zitar and A. Al-Dmour compared with other four standard 2D FIR design methods. The first one was the frequency sampling method which is based on a desired 2D frequency response sampled at points on the Cartesian plane. The second method was FIR filter design using the 1D window method. This method uses a 1D window specification to design the desired frequency response Hd. The third method was the 2D window specification method. It is used to design a 2D FIR filter based on the desired frequency response Hd.
Classical GA [3–5] has some limitations, and one of its main limitations is the fixed dimensionality of the solutions it can span. This is due to the fixed length strings used in the standard GA. In FGA, strings (chromosomes) have variable lengths; hence, solutions with different dimensionalities can be found. The FGA is a general evolutionary optimization algorithm that may be used to optimize complex, multivariable, and nonlinear problems with constraints. In this chapter, the implementation of FGA in designing one-and two-dimensional FIR filters is investigated.
A Cartesian Embedded Boundary Method for the Compressible Navier-Stokes Equations by Kupiainen M., Sjogreen B.