BEMD for Image Decomposition

BEMD (Bidimensional Empirical Mode Decomposition) is an image decomposition method that utilizes Delaunay triangulation and cubic interpolation to construct upper and lower envelopes for extracting intrinsic mode functions. The algorithm processes grayscale BMP images as input and generates three intrinsic mode functions (imf1, imf2, imf3) along with a residual component as output. Key implementation steps include: 1) Identifying extrema points across the image plane, 2) Performing Delaunay triangulation to connect extremum points into triangular mesh, 3) Applying cubic interpolation over the mesh to construct smooth envelopes, 4) Iterative sifting process to separate frequency components. BEMD effectively decomposes images into different frequency components, enabling improved analysis and understanding of image characteristics through multi-scale representation. The method is particularly valuable for texture analysis, feature extraction, and image processing applications requiring adaptive frequency separation.