Comparison of Maximum Likelihood Classification Before and After Applying Weierstrass Transform

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Authors: Muhammad Shoaib, Zaka Ur Rehman, Muhammad Qasim
Cited by: 0

Abstract

The aim of this paper is to use Maximum Likelihood (ML) Classification on multispectral data by means of qualitative and quantitative approaches. Maximum Likelihood is a supervised classification algorithm which is based on the Classical Bayes theorem. It makes use of a discriminant function to assign pixel to the class with the highest likelihood. Class means vector and covariance matrix are the key inputs to the function and can be estimated from training pixels of a particular class. As Maximum Likelihood need some assumptions before it has to be applied on the data. In this paper we will compare the results of Maximum Likelihood Classification (ML) before apply the Weierstrass Transform and apply Weierstrass Transform and will see the difference between the accuracy on training pixels of high resolution Quickbird satellite image. Principle Component analysis (PCA) is also used for dimension reduction and also used to check the variation in bands. The results shows that the separation between mean of the classes in the decision space is to be the main factor that leads to the high classification accuracy of Maximum Likelihood (ML) after using Weierstrass Transform than without using it.

Fields of Study & Subjects

Remote-Sensing Image Classification Advanced Statistical Methods and Models Advanced Statistical Modeling Techniques

Publication details

Journal / source
arXiv (Cornell University)
Publication date
8 January 2026
Document type
Preprint