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Related Concept Videos

Radicals: Electronic Structure and Geometry01:07

Radicals: Electronic Structure and Geometry

This lesson delves into the geometry of a radical, which is influenced by the electronic structure of the molecule. The principle is similar to that of a lone pair, where the unpaired electron influences the geometry at the radical center.
Accordingly, the structure of a trivalent radical lies between the geometries of carbocations and carbanions. An sp2-hybridized carbocation is trigonal planar, while an sp3-hybridized carbanion is trigonal pyramidal. Here, the difference in geometry is...
Radical Equations01:26

Radical Equations

Radical equations are mathematical expressions in which the variable is found within a radical, most commonly a square root or cube root. These equations frequently arise in science, engineering, and real-world measurements involving nonlinear relationships. To solve a radical equation, the standard procedure is to isolate the radical expression and then eliminate the radical by raising each side to a power equal to the index of the radical. This process may lead to extraneous solutions—values...
Radicals01:27

Radicals

Roots, often written as radicals, identify the quantity that must be raised to a specific exponent to produce a given value. A radical expression consists of two main components: the radicand, which is the value placed inside the root symbol, and the index, which indicates the degree of the root being taken. The notation n√a indicates the principal nth root of a. If n equals 2, the operation is the square root, while n = 3 defines the cube root. When n is even, a negative radicand does not...

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Related Experiment Video

Updated: May 22, 2026

RGB and Spectral Root Imaging for Plant Phenotyping and Physiological Research: Experimental Setup and Imaging Protocols
11:37

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Published on: August 8, 2017

[Hyperspectral remote sensing image classification based on radical basis function neural network].

Kun Tan1, Pei-jun Du

  • 1Department of Remote Sensing and Geographical Information Science, China University of Mining and Technology, Xuzhou 221008, China. tnt1981@126.com

Guang Pu Xue Yu Guang Pu Fen Xi = Guang Pu
|December 20, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces an effective feature extraction model for hyperspectral remote sensing classification using Radial Basis Function Neural Networks (RBFNN). RBFNN achieved higher classification precision compared to other methods.

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Area of Science:

  • Remote Sensing
  • Artificial Intelligence
  • Data Science

Context:

  • Hyperspectral remote sensing generates large, complex datasets.
  • Effective feature extraction is crucial for accurate classification.
  • Existing methods may struggle with hyperspectral data dimensionality.

Purpose:

  • To design an effective feature extraction model for hyperspectral remote sensing.
  • To construct a Radial Basis Function Neural Network (RBFNN) classifier.
  • To evaluate RBFNN performance against other classification methods.

Summary:

  • A novel feature extraction model was developed integrating Minimum Noise Fraction (MNF), texture transformation, and Principal Component Analysis (PCA).
  • The extracted 60-dimensional features were used to train an RBFNN classifier with limited training samples (<6.13%).
  • The RBFNN classifier demonstrated superior performance, achieving 69.27% classification precision.

Impact:

  • RBFNN offers a robust and efficient solution for hyperspectral image classification.
  • The proposed model significantly outperforms traditional methods like Back Propagation Neural Network (BPNN) and Minimum Distance Classification (MDC).
  • This research validates the efficacy of RBFNN in handling complex hyperspectral remote sensing data.