Bilinear Interpolation Algorithm for Image Processing

Bilinear interpolation is a fundamental technique for estimating pixel values on a two-dimensional grid. This algorithm calculates new pixel values by computing weighted averages of the four nearest neighboring pixels, effectively enhancing image resolution and quality. In image processing and computer vision applications, bilinear interpolation is extensively utilized for operations such as image scaling, rotation, and geometric transformations. The implementation typically involves two sequential linear interpolations - first along one axis, then along the other. Key mathematical operations include: 1. Calculating horizontal interpolation weights based on relative distances 2. Performing vertical interpolation using the intermediate results 3. Combining contributions from all four neighboring pixels This method enables better preservation of image details and information, facilitating more accurate processing and analysis of image data. The algorithm strikes a balance between computational efficiency and output quality, making it suitable for real-time applications.