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In this document, we discuss the algorithm used for extracting endmembers from hyperspectral remote sensing images. The algorithm uses the criterion of minimum volume of the simplex. To put it simply, the algorithm aims to find the smallest possible geometric shape (known as a simplex) that encompasses all the data points in the hyperspectral image. This simplex represents the endmember. By extracting all the endmembers in the image, we can better understand the spectral characteristics of the various materials present in the scene, and use this information for a range of applications, from mineral exploration to environmental monitoring. The algorithm is designed to be efficient and accurate, and has been tested on a variety of hyperspectral datasets with promising results.