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Updated: May 19, 2026

High-speed Particle Image Velocimetry Near Surfaces
Published on: June 24, 2013
A generalized strategy for measuring performance in the velocity-position phase plane.
1VA Cooperative Studies Program Coordinating Center, VA Connecticut Healthcare System, West Haven, CT 06516, USA. michael.wininger@va.gov
This study introduces a generalized phase smoothness measure for analyzing multi-DOF movements, overcoming limitations of previous time-based methods. The new approach enhances kinematic analysis for complex, non-monotonic motion data.
Area of Science:
- Robotics and biomechanics
- Movement analysis and control
- Mathematical modeling of motion
Background:
- Traditional smoothness measures often rely on time-based analysis.
- Previous phase smoothness formulations were limited to single degree-of-freedom (DOF) and monotonic movements.
- Generalizability of existing smoothness measures is restricted.
Purpose of the Study:
- To present a comprehensive methodology for implementing a phase smoothness measure applicable to arbitrary datasets.
- To extend the application of phase smoothness to multi-DOF movements without assuming monotonicity.
- To provide best practices for applying the generalized phase smoothness measure.
Main Methods:
- Reformulation of smoothness measures as a function of position, not time.
- Development of a methodology for arbitrary kinematic datasets.
- Application to multi-DOF movements with non-monotonic profiles.
Main Results:
- A generalized phase smoothness measure applicable to complex kinematic data.
- Successful implementation for multi-DOF movements.
- Demonstration of applicability beyond monotonic profiles.
Conclusions:
- The proposed methodology significantly enhances the generalizability of phase smoothness measures.
- This approach offers a more robust tool for analyzing complex movements in various fields.
- Best practices are provided for effective implementation and interpretation.
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