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In image processing, a Gaussian blur (also known as Gaussian smoothing) is the result of blurring an image by a Gaussian function (named after mathematician and scientist Carl Friedrich Gauss). It is a widely used effect in graphics software, typically to reduce image noise and reduce detail.
In image processing and computer vision, smoothing ideas are used in scale space representations. The simplest smoothing algorithm is the "rectangular" or "unweighted sliding-average smooth". This method replaces each point in the signal with the average of "m" adjacent points, where "m" is a positive integer called the "smooth width".
When the guidance image is the same as the filtering input .The guided filter removes noise in the input image while preserving clear edges. Specifically, a “flat patch” or a “high variance patch” can be specified by the parameter of the guided filter.
Two-dimensional smoothing and differentiation can also be applied to tables of data values, such as intensity values in a photographic image which is composed of a rectangular grid of pixels. [17] [18] Such a grid is referred as a kernel, and the data points that constitute the kernel are referred as nodes. The trick is to transform the ...
The regularization parameter plays a critical role in the denoising process. When =, there is no smoothing and the result is the same as minimizing the sum of squares.As , however, the total variation term plays an increasingly strong role, which forces the result to have smaller total variation, at the expense of being less like the input (noisy) signal.
The median filter is a non-linear digital filtering technique, often used to remove noise from an image, [1] signal, [2] and video. [3] Such noise reduction is a typical pre-processing step to improve the results of later processing (for example, edge detection on an image).
By smoothing the image, they help to minimize the impact of noise before applying methods like the Sobel or Canny edge detectors. Image Resizing: In image resizing tasks, Gaussian filters can prevent aliasing artifacts. Smoothing the image before downsampling ensures that the resulting image maintains better quality and visual fidelity. [13]
Left: original image. Right: image processed with bilateral filter. A bilateral filter is a non-linear, edge-preserving, and noise-reducing smoothing filter for images. It replaces the intensity of each pixel with a weighted average of intensity values from nearby pixels. This weight can be based on a Gaussian distribution.