Analytical Design of Two-Dimensional Filters and Applications in Biomedical Image Processing

摘要: The field of two-dimensional filters and their design methods has known a large development due to its importance in image processing (Lim, 1990; Lu & Antoniou, 1992). There are based on numerical optimization also analytical relying 1D prototypes. A commonly-used technique for 2D is start from specified prototype filter transform transfer function using various frequency mappings order obtain with desired response. These essentially spectral transformations s z plane, followed by (z1, z2) mappings, approached early papers (Chakrabarti Mitra, 1977; Hirano Aggarwal, 1978; Harn Shenoi, 1986; Nie Unbehauen, 1989). Generally these conserve stability, so prototypes stable recursive can be obtained. most common types directional, fan-shaped, diamond-shaped circular filters. Diamond commonly used as anti-aliasing the conversion between signals sampled rectangular sampling grid quincunx grid. Various were studied (Tosic, 1997; Lim Low, Low Lim, 1998; Ito, 2010; Matei, 2010).