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Related Concept Videos

Position Vectors01:29

Position Vectors

A position vector is a fundamental concept in mathematics that helps determine the position of one point with respect to another point in space. It is a vector that describes the direction and distance between two points. Position vectors are highly useful in the field of math and science, as they help represent spatial relationships and make calculations easier.
For instance, we want to locate a point P(x, y, z) relative to the origin of coordinates O. In that case, we can define a position...
Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
Position and Displacement Vectors01:00

Position and Displacement Vectors

To describe the motion of an object, one should first be able to describe its position (where it is at any particular time). More precisely, the position needs to be specified relative to a convenient frame of reference. A frame of reference is an arbitrary set of axes from which the position and motion of an object are described. Earth is often used as a frame of reference to describe the position of an object in relation to stationary objects on Earth.
Further, several important kinds of...
Functional Classification of Joints01:09

Functional Classification of Joints

Functional Classification of Joints
The functional classification of joints is determined by the amount of mobility between the adjacent bones. Joints are functionally classified as a synarthrosis or immobile joint, an amphiarthrosis or slightly moveable joint, or as a diarthrosis, a freely moveable joint. Fibrous and cartilaginous joints can be functionally classified as either synarthroses  or amphiarthroses, whereas all synovial joints are classified as diarthroses.
Synarthrosis
An immobile...
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.
Here, in order to determine the magnitude of velocity and acceleration for point...

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Related Experiment Video

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Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities
07:13

Multimodal Cross-Device and Marker-Free Co-Registration of Preclinical Imaging Modalities

Published on: October 27, 2023

Application of position encoding to a complex joint transform correlator.

F T Yu, G Lu, M Lu

    Applied Optics
    |November 2, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new position-encoding technique enables complex-valued references for joint transform correlators using amplitude-modulated spatial light modulators. This advances optical signal processing capabilities.

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    Area of Science:

    • Optical Engineering
    • Signal Processing

    Background:

    • Joint transform correlators (JTCs) are versatile optical signal processors.
    • Spatial domain implementations often require complex-valued impulse responses.

    Purpose of the Study:

    • To introduce a novel position-encoding technique for generating complex-valued references in JTCs.
    • To enable JTCs to process complex-valued signals using readily available hardware.

    Main Methods:

    • Development of a position-encoding technique.
    • Utilizing an amplitude-modulated spatial light modulator (SLM) to create complex-valued references.
    • Experimental validation of the proposed method.

    Main Results:

    • Successfully generated complex-valued references for JTCs using the position-encoding technique.
    • Demonstrated the feasibility of the method through a proof-of-concept experiment.
    • The technique allows for the creation of complex-valued references with an amplitude-modulated SLM.

    Conclusions:

    • The position-encoding technique is an effective method for obtaining complex-valued references for JTCs.
    • This approach enhances the capabilities of optical signal processing with JTCs.
    • The use of amplitude-modulated SLMs offers a practical solution for complex-valued optical signal processing.