C ONSTANT S PACE C OMPLEXITY E NVIRONMENT R EPRESENTATION FOR V ISION - - PowerPoint PPT Presentation

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C ONSTANT S PACE C OMPLEXITY E NVIRONMENT R EPRESENTATION FOR V ISION - - PowerPoint PPT Presentation

JEFFREY KANE JOHNSON C ONSTANT S PACE C OMPLEXITY E NVIRONMENT R EPRESENTATION FOR V ISION - BASED N AVIGATION CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION NAVIGATING THE WORLD Zenrin Nokia/Here Google/Waymo


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SLIDE 1

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

JEFFREY KANE JOHNSON

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SLIDE 2

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

NAVIGATING THE WORLD

Nokia/Here Zenrin Google/Waymo

From a navigation standpoint, modeling the world explicitly in 3D has intuitive appeal But the world is large and uncertain, which causes problems using with these models

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SLIDE 3

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

THE COMPLEXITY PROBLEM

Many traditional approaches to control and planning scale in the number of

  • bjects in a scene

In practical situations such scaling often quickly become problematic

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SLIDE 4

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

THE REPRESENTATION PROBLEM

  • Typical approaches will want

position and velocity estimations for all of these vehicles in Euclidean 3-space

  • Sensor limitations can lead to

poor quality estimates in this space

  • State estimation in image space,

however, can be much more accurate

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SLIDE 5

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

IMAGE SPACE POTENTIAL FIELDS

! " Ts M" !min > Ts !min < !E

  • L ← [-1, 0)

Left: Perception and tracking in the image plane output multiple objects Right: The potential field collapses these

  • bjects to a fixed-size representation

Left: Directional control can be determined by a convolution of the ISP Right: Longitudinal control can be determined similarly

F(x,y) = n min

τ (F1(x,y),F2(x,y)) | (x,y) ∈ I

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SLIDE 6

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

IMAGE SPACE POTENTIAL FIELDS

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SLIDE 7

CONSTANT SPACE COMPLEXITY ENVIRONMENT REPRESENTATION FOR VISION-BASED NAVIGATION

FUTURE WORK

▸ Generalize potential fields to unitless measure

▸ Enable meaningful fusion of information from multiple sources

▸ Coupled control law

▸ Enable more natural, intuitive behavior

▸ Work underway at:


https://maeveautomation.com/development/