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Spherical Coordinates01:23

Spherical Coordinates

Spherical coordinate systems are preferred over Cartesian, polar, or cylindrical coordinates for systems with spherical symmetry. For example, to describe the surface of a sphere, Cartesian coordinates require all three coordinates. On the other hand, the spherical coordinate system requires only one parameter: the sphere's radius. As a result, the complicated mathematical calculations become simple. Spherical coordinates are used in science and engineering applications like electric and...
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Polar and Cylindrical Coordinates

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Depth Perception and Spatial Vision

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A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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Curvilinear Motion: Polar Coordinates

In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
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Coordinates and Map Projections

Coordinates and map projections are essential tools in accurately representing the Earth's surface for various applications, ranging from navigation to spatial analysis. The latitude and longitude coordinate system is a universally recognized framework for defining locations. Latitude specifies the distance of a point north or south of the equator, measured in degrees from 0° at the equator to 90° at the poles. Longitude indicates a location's position east or west of the prime meridian,...

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Targetless Calibration of Wide-Baseline and Wide-Angle Surround-View Fisheye Cameras Using Cylindrical Projection

Gee Hoon Lee1, Soon-Yong Park1

  • 1School of Electronic and Electrical Engineering, Kyungpook National University, Daegu 41566, Republic of Korea.

Sensors (Basel, Switzerland)
|June 26, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a new method for calibrating vehicle fisheye cameras without targets. It uses object detection and depth estimation for accurate surround view monitoring.

Keywords:
autonomous drivingcylindrical coordinate systemextrinsic calibrationmonocular depth estimationmulti-camera systemswide-baseline fisheye camera

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Area of Science:

  • Computer Vision
  • Robotics
  • Sensor Fusion

Background:

  • Surround view monitoring systems in vehicles rely on accurate camera calibration.
  • Traditional methods often require artificial targets, limiting online application.
  • Wide-baseline and wide-angle fisheye cameras present unique calibration challenges.

Purpose of the Study:

  • To develop a novel targetless extrinsic calibration method for fisheye cameras on driving vehicles.
  • To enable online calibration for surround view monitoring systems.
  • To improve calibration accuracy under challenging conditions like wide baselines and low frame rates.

Main Methods:

  • Fisheye images are transformed into a cylindrical coordinate system.
  • State-of-the-art object detection and monocular depth estimation are applied.
  • 3D point clouds are reconstructed from matched vehicle instances across views.
  • Depth scaling and joint optimization are used for accurate cross-view alignment.

Main Results:

  • The proposed method achieves higher accuracy than existing approaches (COLMAP, DUSt3R).
  • Effective calibration was demonstrated on both real-world and synthetic datasets.
  • The method successfully calibrates cameras without requiring artificial targets.
  • Accurate extrinsic calibration was achieved even under challenging conditions.

Conclusions:

  • The novel targetless method provides accurate extrinsic calibration for vehicle fisheye cameras.
  • This approach is suitable for online calibration in surround view monitoring.
  • It overcomes limitations of traditional target-based methods and improves robustness.