GaußGlätten

GaußGlätten, also known as Gaussian smoothing or Gaussian blur, is a digital image processing technique used to reduce image noise and detail. It works by applying a Gaussian function to convolve the image, effectively averaging pixel values with their neighbors in a weighted manner. The weights are determined by the Gaussian distribution, where pixels closer to the center have a higher influence on the output than those further away. The degree of smoothing is controlled by the standard deviation (sigma) of the Gaussian function. A larger sigma results in a wider blur and more pronounced smoothing. GaußGlätten is widely used in various applications, including computer vision, photography, and medical imaging, for tasks such as pre-processing for feature detection, noise reduction, and creating artistic effects. It is a fundamental operation because it is separable, meaning it can be applied efficiently in two separate 1D passes (horizontal and vertical) rather than a single 2D pass, reducing computational cost. The mathematical basis involves a convolution operation where the image is treated as a function and the Gaussian kernel is applied as a smoothing filter.