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Related Concept Videos

Polar and Cylindrical Coordinates01:22

Polar and Cylindrical Coordinates

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.
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

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.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it instrumental in...
Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

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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Transformation of Plane Strain01:12

Transformation of Plane Strain

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Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

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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Related Experiment Video

Updated: Jul 15, 2026

Dynamic Digital Biomarkers of Motor and Cognitive Function in Parkinson's Disease
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Coordinate-wise monotonic transformations enable privacy-preserving age estimation with 3D face point cloud.

Xinyu Yang1,2, Runhan Li2, Xindi Yang3

  • 1School of Life Sciences, Peking University, Beijing, 100871, China.

Science China. Life Sciences
|April 4, 2024
PubMed
Summary

This study introduces a privacy-preserving facial data masking technique using monotonic transformations. The method protects personal privacy while retaining age-related facial features for research, enabling broader dataset access.

Keywords:
age estimationcoordinate-wise monotonic transformationface point cloudface verificationprivacy

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Area of Science:

  • Computer Vision
  • Biometrics
  • Medical Imaging

Background:

  • Facial images are key aging biomarkers but raise privacy issues.
  • Existing methods may compromise age-related features during data masking.

Purpose of the Study:

  • To develop a facial data masking approach preserving age-related features.
  • To enhance privacy in facial datasets for broader accessibility.

Main Methods:

  • Developed a deep learning model for accurate age estimation from 3D face point clouds.
  • Applied coordinate-wise monotonic transformations for facial data masking.
  • Conducted visual perception and 3D face verification tests.

Main Results:

  • The masking technique preserves age-related features effectively.
  • Transformed faces are harder for humans to perceive but retain machine-readable aging cues.
  • Relative facial point positioning is a low-level aging biomarker.

Conclusions:

  • The proposed method balances facial data utility and privacy.
  • This approach can facilitate the creation of privacy-preserving facial datasets.
  • It offers a guideline for protecting facial data while minimizing privacy risks.