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Related Concept Videos

Topographic Surveying and Contours01:29

Topographic Surveying and Contours

Topographic surveying is critical for documenting the Earth's surface, focusing on capturing elevations, slopes, and natural and man-made features. It is essential in construction planning, water resource management, and land-use analysis. The primary outcome of such surveys is a topographic map, which uses contour lines to visually represent the shape and slope of the terrain, providing valuable insights into the landscape's characteristics.Contour lines are fundamental to understanding the...
Methods of Obtaining Topography01:25

Methods of Obtaining Topography

Topography involves measuring and mapping land elevations, natural features, and artificial structures to create accurate representations of the terrain. Topographic surveying relies on traditional and modern methods, each with distinct advantages and limitations.Traditional Surveying Methods:Transit stadia surveys and plane table surveys were widely used traditional surveying methods. These techniques relied on instruments like theodolites and stadia rods for measuring distances and angles,...
Plotting of Topographic Maps01:29

Plotting of Topographic Maps

Topographic maps represent the Earth's surface features using contour lines, which connect points of equal elevation to create a two-dimensional representation of three-dimensional terrain. Creating a topographic map requires a systematic approach.Begin by plotting a scaled grid and marking intersections corresponding to the survey's elevation data points. Assign elevation values at these intersections to build the base map. Next, determine contour levels using a consistent contour interval,...
Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
Discrete Fourier Transform01:15

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
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Related Experiment Video

Updated: May 29, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Contour map registration using fourier descriptors of gradient codes.

K P Lam1

  • 1Division of Electrical Engineering, National Research Council of Canada, Ottawa, Ont., Canada K1A 0R8.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|August 27, 2011
PubMed
Summary

This study introduces a novel method using Fourier descriptors of gradient codes to locate a subpicture (P1) within a contour map (P2). The technique accurately estimates P1's position and angular misalignment in P2.

Related Experiment Videos

Last Updated: May 29, 2026

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration
05:05

Four-Dimensional CT Analysis Using Sequential 3D-3D Registration

Published on: November 23, 2019

Area of Science:

  • Image processing
  • Computer vision
  • Pattern recognition

Background:

  • Estimating the position and orientation of objects within images is crucial for various applications.
  • Existing methods may struggle with unknown angular misalignments and complex contour maps.

Purpose of the Study:

  • To develop a robust method for estimating the position and angular misalignment of a subpicture (P1) within a contour map (P2).
  • To leverage Fourier descriptors of multidirectional gradient codes for accurate localization.

Main Methods:

  • Generating multidirectional gradient codes and their Fourier descriptors from subpicture P1 measurements.
  • Creating a contour map for P2 with a specific isopleth value (c*).
  • Employing a two-level classifier using Fourier descriptors and phase correlation to estimate P1's location on P2's isopleths.

Main Results:

  • The proposed method successfully estimates the position of subpicture P1 within contour map P2.
  • Angular misalignment between P1 and P2 can be determined with significant accuracy.
  • Simulations confirm the effectiveness of the technique in various scenarios.

Conclusions:

  • Fourier descriptors of multidirectional gradient codes offer a powerful approach for subpicture localization in contour maps.
  • The method provides a reliable solution for determining both translational and rotational differences between images.
  • This technique has potential applications in image registration and object recognition.