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Related Concept Videos

IR Frequency Region: Fingerprint Region01:03

IR Frequency Region: Fingerprint Region

IR spectra are divided into two main regions: the diagnostic region and the fingerprint region. The diagnostic region of the spectrum lies above 1500 cm−1. The absorptions resulting from single-bond vibrations of the N–H, C–H, and O–H stretch at higher wavenumbers and appear on the left side of the spectrum. The stretching absorptions of the C≡C and C≡N occur between 2100–2300 cm−1. In contrast, those arising from stretching absorptions of the C=O, C=N, and C=C occur between 1600–1850 cm−1.
The...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
Convolution Properties II01:17

Convolution Properties II

The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
Light Acquisition02:16

Light Acquisition

In order to produce glucose, plants need to capture sufficient light energy. Many modern plants have evolved leaves specialized for light acquisition. Leaves can be only millimeters in width or tens of meters wide, depending on the environment. Due to competition for sunlight, evolution has driven the evolution of increasingly larger leaves and taller plants, to avoid shading by their neighbors with contaminant elaboration of root architecture and mechanisms to transport water and nutrients.
Convolution Properties I01:20

Convolution Properties I

Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
Infrared (IR) Spectroscopy: Overview01:09

Infrared (IR) Spectroscopy: Overview

When electromagnetic radiation passes through a material, atoms or molecules transition from a lower to a higher energy state by absorbing radiation corresponding to the energy difference between the two states. The absorption of infrared (IR) radiation causes transitions between vibrational energy levels in a molecule. Therefore, IR spectroscopy is a useful analytical tool for determining the molecular structure of molecules.
Different compounds display unique properties due to their...

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A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

Illumination-invariant pattern recognition with joint-transform-correlator-based morphological correlation.

S Zhang1, M A Karim

  • 1Department of Computer Science, The College of Staten Island of The City University of New York, 2800 Victory Boulevard, Staten Island, New York 10314, USA.

Applied Optics
|March 8, 2008
PubMed
Summary
This summary is machine-generated.

Nonlinear morphological correlation offers superior performance over linear correlation, showing invariance to illumination changes and enhanced robustness against noise for improved pattern detection.

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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

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Last Updated: Jul 6, 2026

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Published on: August 30, 2013

Area of Science:

  • Image processing
  • Pattern recognition
  • Computer vision

Background:

  • Conventional linear correlation methods are widely used for pattern matching.
  • Linear correlation can be sensitive to variations in illumination and noise.
  • Need for more robust correlation techniques in image analysis.

Purpose of the Study:

  • To investigate and compare the performance of nonlinear morphological correlation (NMC) with linear correlation (LC).
  • To analyze the impact of illumination variations on NMC output.
  • To evaluate NMC's robustness against noise and its pattern discriminability.

Main Methods:

  • Computer simulations were employed to test both NMC and LC.
  • The study focused on analyzing the correlation output under varying illumination conditions.
  • Performance metrics such as peak sharpness and noise robustness were assessed.

Main Results:

  • NMC demonstrates invariance to uniform input-image illumination when illumination exceeds reference levels.
  • NMC provides superior pattern discriminability and sharper correlation peaks compared to LC.
  • NMC exhibits more robust detection in the presence of salt-and-pepper noise than LC.

Conclusions:

  • Nonlinear morphological correlation is a more robust and effective technique for pattern recognition than linear correlation.
  • NMC's invariance to illumination and noise resilience make it suitable for challenging image analysis tasks.
  • Further research can explore NMC applications in various computer vision domains.