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Related Concept Videos

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Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines.
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Relative Motion Analysis using Rotating Axes01:25

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Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Relative Motion Analysis using Rotating Axes-Problem Solving01:29

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Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
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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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The paraboloid of revolution is an axially symmetric surface generated by rotating a parabola around its axis. This shape has several applications in mechanical engineering due to its advantageous structural properties, such as strength against stress concentration points and rotational symmetry.
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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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Updated: Jun 23, 2025

Three and Four-Dimensional Visualization and Analysis Approaches to Study Vertebrate Axial Elongation and Segmentation
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Virtual Orientation Tools (VOTj): Fiji plugins for object centering and alignment.

Sankeert Satheesan1,2, Jochen Gehrig1, Laurent S V Thomas1

  • 1Acquifer, Luxendo GmbH, Heidelberg, Germany.

Micropublication Biology
|June 24, 2024
PubMed
Summary
This summary is machine-generated.

Virtual Orientation Tools (VOTj) are Fiji plugins that automatically center and align single objects in images. This standardization enhances visual comparisons and image-processing compatibility for various samples and modalities.

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Area of Science:

  • Image Analysis
  • Computational Biology
  • Scientific Imaging

Background:

  • Standardizing image datasets is crucial for consistent visual comparisons and improved compatibility with image-processing workflows.
  • Achieving homogeneity in images with single objects often involves aligning them to a common orientation.

Purpose of the Study:

  • To introduce Virtual Orientation Tools (VOTj), a set of Fiji plugins designed for object centering and alignment.
  • To enable alignment of objects to a vertical or horizontal orientation within images.

Main Methods:

  • The VOTj plugins utilize user-provided masks or annotations to define the object of interest.
  • Object orientation is determined using Principal Component Analysis (PCA) to derive optimal alignment.
  • The tools support multi-dimensional images, including time-lapse series, and allow batch processing of image directories.

Main Results:

  • VOTj successfully centers and aligns single objects in images to specified orientations.
  • The plugins are versatile, applicable to diverse samples and imaging modalities.
  • Batch processing and integration into custom workflows via macro-recording are supported.

Conclusions:

  • Virtual Orientation Tools offer an efficient solution for standardizing image datasets by aligning objects.
  • These Fiji plugins enhance image analysis reproducibility and facilitate downstream processing tasks.
  • VOTj is a valuable asset for researchers working with diverse imaging data.