Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Kinematic Equations: Problem Solving

Kinematic Equations: Problem Solving

When analyzing one-dimensional motion with constant acceleration, the problem-solving strategy involves identifying the known quantities and choosing the appropriate kinematic equations to solve for the unknowns. Either one or two kinematic equations are needed to solve for the unknowns, depending on the known and unknown quantities. Generally, the number of equations required is the same as the number of unknown quantities in the given example. Two-body pursuit problems always require two...

Kinematic Equations - II

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...

Kinematic Equations - III

Kinematic Equations - III

The first two kinematic equations have time as a variable, but the third kinematic equation is independent of time. This equation expresses final velocity as a function of the acceleration and distance over which it acts. The fourth kinematic equation does not have an acceleration term and provides the final position of the object at time t in terms of the initial and final velocities. This equation is useful when the value of the constant acceleration is unknown.
Using the kinematic equations,...

Kinematic Equations - I

Kinematic Equations - I

When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:

Curvilinear Motion: Rectangular Components

Curvilinear Motion: Rectangular Components

Curvilinear motion characterizes the movement of a particle or object along a curved path, notably evident when envisioning a car navigating a winding road. If the car starts at point A, its position vector is established within a fixed frame of reference, where the ratio of the position vector to its magnitude signifies the unit vector pointing in the position vector's direction.
As the car advances, its position evolves over time. Quantifying the car's velocity involves computing the time...

Kinematic Equations for Rotation

Kinematic Equations for Rotation

In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Left atrial epicardial adipose tissue volume quantification by CMR aids identification of patients at low risk for left atrial cardiomyopathy.

Clinical research in cardiology : official journal of the German Cardiac Society·2025

Same author

A Benchmark Environment for Neuromorphic Stereo Vision.

Frontiers in robotics and AI·2021

Same author

Early Infection Dynamics of Dichelobacter nodosus During an Ovine Experimental Footrot In Contact Infection.

Schweizer Archiv fur Tierheilkunde·2019

Same author

In vitro cultured bovine endometrial cells recognize embryonic sex.

Theriogenology·2017

Same author

Microalgae fractionation using steam explosion, dynamic and tangential cross-flow membrane filtration.

Bioresource technology·2017

Same author

Effect of pre-treatments on the production of biofuels from Phaeodactylum tricornutum.

Journal of environmental management·2016

Search research articles

Related Experiment Video

Updated: May 23, 2026

Measurement of Dynamic Scapular Kinematics Using an Acromion Marker Cluster to Minimize Skin Movement Artifact

Measurement of Dynamic Scapular Kinematics Using an Acromion Marker Cluster to Minimize Skin Movement Artifact

Published on: February 10, 2015

Kinematic Bézier Maps.

S Ulbrich, V R de Angulo, T Asfour

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society

|April 7, 2012

Summary

This study introduces the Kinematic Bézier Map (KB-Map), a novel model for robot kinematics. KB-Maps significantly reduce training data needs and simplify learning for complex robotic systems.

Area of Science:

Robotics
Machine Learning
Computational Geometry

Background:

Robot kinematics, mapping complex multi-DOF movements, requires extensive training data.
Existing models often lack the ability to efficiently incorporate geometric constraints.

Purpose of the Study:

Introduce the Kinematic Bézier Map (KB-Map) as a novel, parameterizable model for robot kinematics.
Reduce the number of training samples required for learning kinematic functions.
Simplify the learning process for complex robot movements.

Main Methods:

Developed a parameterizable model, the Kinematic Bézier Map (KB-Map).
Incorporated geometric constraints directly into the model structure.
Reduced the learning problem to solving a linear least squares problem.

Related Experiment Videos

Last Updated: May 23, 2026

Measurement of Dynamic Scapular Kinematics Using an Acromion Marker Cluster to Minimize Skin Movement Artifact

Measurement of Dynamic Scapular Kinematics Using an Acromion Marker Cluster to Minimize Skin Movement Artifact

Published on: February 10, 2015

Main Results:

KB-Maps drastically reduce the number of training samples needed for precise kinematic learning.
The model demonstrates excellent interpolation and extrapolation capabilities.
KB-Maps exhibit low sensitivity to noise in training data.

Conclusions:

The Kinematic Bézier Map offers an efficient and effective approach to learning robot kinematics.
KB-Maps provide a simplified learning framework with strong performance characteristics.
This model is particularly advantageous for robots with many degrees of freedom and large workspaces.