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Related Concept Videos

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...
Vector Components in the Cartesian Coordinate System01:29

Vector Components in the Cartesian Coordinate System

Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
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Cartesian Vector Notation

Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations such as determining the gradient, divergence, and curl, and expressing physical quantities such as the displacement, velocity, acceleration, and force. By using Cartesian vector notation, engineers can more easily analyze and solve problems in various areas of mechanical engineering, including dynamics, kinematics, and fluid mechanics. This...
Polar Coordinates01:24

Polar Coordinates

The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance from a fixed...
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Polar and Cylindrical Coordinates01:22

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The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.

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Efficiently Recording the Eye-Hand Coordination to Incoordination Spectrum
07:30

Efficiently Recording the Eye-Hand Coordination to Incoordination Spectrum

Published on: March 21, 2019

A new coordinate system convention in schematic eye modeling.

Michael J Simpson1

  • 1Alcon Laboratories Inc., Ft Worth, Texas 76134, USA. mike.simpson@alconlabs.com

Journal of Refractive Surgery (Thorofare, N.J. : 1995)
|October 20, 2010
PubMed
Summary
This summary is machine-generated.

Standardizing schematic eye calculations involves viewing images from behind the eye. Rotating imaging wavefronts and point spread functions (PSF) by 180° ensures normal text appearance for accurate optical analysis.

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Area of Science:

  • Ophthalmic optics
  • Computational modeling
  • Visual science

Background:

  • Schematic eye models are crucial for understanding visual optics.
  • Standardized presentation of results from these models is lacking.
  • Accurate image representation is essential for clinical and research applications.

Purpose of the Study:

  • To propose standardized methods for presenting schematic eye calculation results.
  • To ensure simulated retinal images are oriented correctly for interpretation.
  • To facilitate comparison between simulated and actual visual stimuli.

Main Methods:

  • Evaluation of existing published methods for schematic eye calculations.
  • Review of measurement equipment and software used in optical modeling.
  • Adaptation of ray tracing software conventions for image display.

Main Results:

  • Recommends viewing schematic eye calculations from behind the eye.
  • Proposes a 180° rotation of optical elements (cornea, pupil, wavefront) and image representations (PSF, spot diagrams) about the optical axis.
  • Highlights the need for correct Zernike term ordering when using Zernike sag surfaces.

Conclusions:

  • Simulated retinal images can be presented with normal orientation by viewing from behind the eye.
  • A 180° rotation of the imaging wavefront and point spread function (PSF) achieves standard text appearance.
  • Standardized methods improve the interpretability and comparability of schematic eye model outputs.