Simple Real Fourier Series Approximation
Simple Real Fourier Series Approximation for Periodic Signal Analysis
ωKA Method for SAR Image Formation
The ωKA (Omega-K Algorithm) is a prominent method for SAR image formation. This implementation provides both approximate and precise variants of ωKA, with simulation parameters derived from "Synthetic Aperture Radar Imaging: Algorithms and Implementation". The algorithm utilizes Stolt interpolation for target focusing, followed by cross-range and range slicing to evaluate the final image quality.
Genetic Algorithm Approximation Techniques
Genetic Algorithm Approximations for Optimization Problems
One-Dimensional Galerkin Meshless Method MATLAB Implementation
This MATLAB program implements a one-dimensional Galerkin-type meshless method. Meshless methods employ point-based approximations that can completely or partially eliminate conventional meshes, removing the need for initial mesh generation and remeshing. These methods maintain computational accuracy while significantly reducing meshing complexity. However, current meshless approximations typically lack analytical expressions and are predominantly based on Galerkin principles, resulting in higher computational costs compared to traditional finite element methods. Additionally, since meshless approximations are mostly fitting-based, handling displacement boundaries presents challenges, often addressed using Lagrange multiplier methods. The implementation demonstrates node arrangement, shape function generation, and stiffness matrix assembly techniques.
Sparse Approximate Solutions for Linear Systems
Sparse approximate solutions to linear systems: Techniques leveraging sparsity for efficient large-scale problem-solving
Gabor Filter
The Gabor filter is renowned for approximating the receptive field properties of the visual cortex in human vision systems. Recent advancements in computer vision applications demonstrate the technique's proven success and promising potential. This directory provides implementation code for Gabor filtering with detailed explanations of filter bank construction strategies in the accompanying paper.