Skip to main content

Minimum distance. Gaussian maximum likelihood . Parallelepiped


Minimum distance to means classification is a supervised classification technique in remote sensing that works by dividing the data into a number of classes based on the mean value of each class. The algorithm works as follows:


First, the mean value of each class is calculated. This is done by taking the average of all the data points in each class.


Next, for each data point, the distance to the mean of each class is calculated. This is done using a distance metric, such as Euclidean distance.


The data point is then assigned to the class with the minimum distance to the mean.


This process is repeated for all data points in the dataset.


Minimum distance to means classification is simple and easy to implement, but it can be sensitive to noise and outliers in the data. It is generally not as accurate as more complex classification algorithms, such as support vector machines or neural networks.


2.

Gaussian maximum likelihood classification is a method of image analysis in remote sensing that involves estimating the probability density function (PDF) of each class in the image and then classifying each pixel based on the class with the highest PDF value.



The PDF of a class is a statistical model that describes the distribution of pixel values within that class. In the case of Gaussian maximum likelihood classification, the PDF is assumed to be a Gaussian, or normal, distribution. This means that the pixel values within the class are assumed to be normally distributed around a mean value, with a certain standard deviation.



To classify each pixel, the PDFs of all classes are calculated using the mean and standard deviation values estimated from the training data. The class with the highest PDF value is then assigned to the pixel.



One advantage of Gaussian maximum likelihood classification is that it can handle continuous variables, such as spectral reflectance values, which can be difficult to classify using other methods. It is also relatively simple to implement and can be easily modified to incorporate additional features or constraints.



However, Gaussian maximum likelihood classification has some limitations. It assumes that the classes are normally distributed, which may not always be the case in real-world data. It is also sensitive to the presence of mixed pixels, or pixels that contain multiple types of land cover.



3

In remote sensing, a parallelepiped is a three-dimensional model used to classify spectral data obtained from a remote sensor. It is a parallelogram with opposite sides parallel, and all its faces are parallelograms.




Parallelepiped classification is a method of image analysis that involves dividing the image data into a set of smaller parallelepipeds, or "bins," and then assigning a class label to each bin based on the characteristics of the pixels within it. This can be done using various techniques, such as k-means clustering or decision tree analysis.




One advantage of parallelepiped classification is that it can be used to analyze large volumes of data quickly, as the bins can be processed in parallel. It is also relatively simple to implement and can be easily modified to incorporate additional features or constraints.




However, parallelepiped classification has some limitations. It can be sensitive to the size and orientation of the bins, and the choice of bin size and orientation can significantly affect the accuracy of the classification. It can also be sensitive to the presence of mixed pixels, or pixels that contain multiple types of land cover.




Comments

Popular posts from this blog

Kuhn’s Paradigms

The given content explains Thomas S. Kuhn’s model of scientific development , its application to geography, and criticisms by Karl Popper, Paul Feyerabend, Michel Foucault , and others. 1. Basic Idea Kuhn argued that science does not develop continuously in a straight line . Instead, scientific development occurs through: Preparadigm → Paradigm → Normal Science → Crisis → Scientific Revolution → New Paradigm A new paradigm may replace an older one, producing a major change in the way scientists understand and study a subject. Concepts and Terminologies Concept / Term Simple Meaning Paradigm A commonly accepted framework/model that guides scientific research Exemplar A successful concrete problem-solution used as a model for future research Disciplinary Matrix Shared beliefs, values, concepts, methods and techniques of a scientific community Preparadig...

History of Geography.

Chronological sequence and categorized by era and region. I. Introduction & Etymology •  Etymology : The term "Geography" derives from the Greek γεωγραφία (geographia) , meaning "Earth-writing" (description or writing about the Earth). •  First Use : Eratosthenes (276–194 BC) was the first person to use the word. •  Pre-Term Practices : Recognizable geographic practices like cartography (map-making) existed prior to the coining of the term. II. Antiquity & Ancient Civilizations 1. Ancient Egypt (Pre-Classical) •  Cosmology : Ancient Egyptians viewed the Nile as the center of the world, with existence based upon "the" river. •  Geographical Knowledge : •  Oases : Known to the east and west, considered locations of various gods (e.g., Siwa for the god Amon ). •  Kushitic Region : Lay to the south, known as far as the 4th cataract . •  Punt : A region located south a...

Models and Theories in Geography

Geographical Models A model is a simplified representation of reality used to describe, explain, simulate, and predict geographical phenomena. Types Physical (Iconic) Models – Three-dimensional representations (e.g., globe, relief model). Conceptual Models – Diagrams or frameworks explaining geographical relationships. Mathematical (Quantitative) Models – Equations and statistical models for spatial analysis and prediction. Simulation Models – Computer-based models that simulate geographical processes (e.g., climate, flood, urban growth). Major Geographical Models Model Scholar Year Concept Johann Heinrich von Thünen Agricultural Land Use Model 1826 Land use varies with distance from the market. Walter Christaller Central Place Model 1933 Distribution of settlements and services. Ernest Burgess Concentric Zone M...

Building Topology in GIS, Data Query in GIS, Geoprocessing and Automation in GIS

A Geographic Information System (GIS) is more than a digital mapping tool. It is a comprehensive system for capturing, storing, managing, analysing, querying, and visualising spatial (geographic) and non-spatial (attribute) data . To maintain accurate spatial data and perform advanced analyses, GIS relies on three important concepts: Building Topology Data Query Geoprocessing and Automation These concepts ensure data integrity, efficient data retrieval, and automated spatial analysis , making GIS an indispensable tool in geography, environmental science, urban planning, disaster management, transportation, agriculture, and resource management. 1. Building Topology in GIS Topology is the mathematical and logical framework that defines the spatial relationships between geographic features such as points, lines, and polygons. It ensures that spatial data maintain correct geometric relationships even after editing or analysis. Simple Definiti...

Regional Geography, Systematic Geography, Idiographic, Nomothetic, Inductive and Deductive Approaches

T wo major ways of studying Geography : the Regional Approach and the Systematic Approach . It also explains the related ideas of idiographic vs. nomothetic and inductive vs. deductive reasoning , especially in the context of the Hartshorne–Schaefer debate . 1. Regional Geography: “All About One” Regional Geography studies one particular region in detail . A region is an area that has some degree of homogeneity (sameness) within its boundary but is also unique or different from other regions . For example, if we study Palakkad District , we may study: Relief and drainage Climate Soil Vegetation Agriculture Population Occupation Economy Culture Political characteristics The purpose is to understand the complete geographical personality of Palakkad and the relationships among its different features. Key concepts Region: A geographical area with identifiable characteristics and boundaries. Homogeneity: Si...