What is image statistics? Explain the univariate and multivariate image statistics in detail.

Image statistics refer to the quantitative measures derived from the pixel values of an image, used to analyze and interpret the characteristics of the image data in remote sensing and digital image processing. These statistics provide important information about the distribution, texture, and relationships of the pixel values, which help in image enhancement, classification, segmentation, and feature extraction.

Image statistics can be broadly classified into two categories: univariate and multivariate statistics. Both types play significant roles in understanding the underlying data structure and in making decisions during image analysis.

Univariate Image Statistics

Univariate image statistics focus on analyzing the pixel values of a single image band (or a single variable) independently. These statistics describe the distribution and variation of the pixel intensities in that single band without considering the relationships with other bands. Common univariate statistics include:

1. Mean (Average): The mean represents the average brightness or intensity of pixels in the image band. It is calculated by summing all pixel values and dividing by the total number of pixels. The mean helps to understand the overall brightness level of the image.

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