Related Experiment Video
Updated: Jan 21, 2026

08:53
Mesoscopic Optical Imaging of Whole Mouse Heart
Published on: October 14, 2021
2.7K
Non-line-of-sight imaging using phasor-field virtual wave optics
Xiaochun Liu1, Ibón Guillén2, Marco La Manna3
1Department of Electrical and Computer Engineering, University of Wisconsin Madison, Madison, WI, USA.
Nature
|August 7, 2019
Summary
This study introduces a new method for non-line-of-sight imaging by treating it as a wave propagation problem. This approach overcomes limitations of previous techniques, enabling practical imaging of occluded scenes.
Area of Science:
- Optics and Photonics
- Computational Imaging
- Wave Physics
Background:
- Non-line-of-sight (NLOS) imaging enables observation of occluded objects via indirect diffuse reflections.
- Current NLOS methods are limited by assumptions of single scattering, ideal reflectance, and scene occlusions.
Purpose of the Study:
- To develop a novel NLOS imaging framework that overcomes practical limitations of existing methods.
- To formulate NLOS imaging as a diffractive wave propagation problem, analogous to line-of-sight imaging.
Main Methods:
- Introduction of a virtual wave field, the 'phasor field', to model NLOS scenes.
- Application of mathematical operators for wave propagation, specifically the Rayleigh-Sommerfeld diffraction integral, to time-of-flight data.
- Development of three imaging algorithms based on established line-of-sight imaging principles.
Main Results:
- Demonstration of NLOS imaging of complex scenes with multiple scattering, ambient light, and occlusions.
- Successful imaging across arbitrary materials and large depth ranges.
- The method effectively handles challenging conditions without explicit inversion of light-transport models.
Conclusions:
- The proposed wave propagation approach provides a new class of NLOS imaging algorithms.
- This method enhances practical usability and broadens the application scope of NLOS imaging beyond laboratory settings.
Related Concept Videos
Phasors
1.1K
Phasors are a powerful mathematical tool used to analyze alternating current (AC) circuits. They provide a complex number representation of sinusoids, with the magnitude of the phasor equating to the amplitude of the sinusoid and the angle of the phasor representing the phase measured from the positive x-axis.
One of the significant benefits of using phasors is that they simplify the analysis of AC circuits by eliminating the time dependence of the current and voltage. This transformation...
One of the significant benefits of using phasors is that they simplify the analysis of AC circuits by eliminating the time dependence of the current and voltage. This transformation...
1.1K
Phasor Arithmetics
774
Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
774
Kirchoff's Laws using Phasors
806
Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
Kirchhoff's voltage law (KVL) states that the sum of phasor voltages around a closed loop in an AC circuit equals zero....
Kirchhoff's voltage law (KVL) states that the sum of phasor voltages around a closed loop in an AC circuit equals zero....
806
Sight Distance in a Vertical Curve
338
Sight distance on vertical curves is critical in roadway design. It ensures drivers can see far enough ahead to identify and respond to hazards effectively. This directly impacts safety, driver comfort, and the overall efficiency of the transportation network.Vertical curves are classified into crest and sag curves based on their geometry. For crest curves, sight distance is determined by the line of sight between a driver's eye and a small object on the road's surface. Design parameters for...
338
The Wave Nature of Light
60.9K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
60.9K
Phasor Relationships for Circuit Elements
980
Phasor representation is a powerful tool used to transform the voltage-current relationship for resistors, inductors, and capacitors from the time domain to the frequency domain. This transformation simplifies the analysis of alternating current (AC) circuits.
In the time domain, Ohm's law provides a fundamental relation between the current flowing through a resistor and the voltage across it:
In the time domain, Ohm's law provides a fundamental relation between the current flowing through a resistor and the voltage across it:
980

