Numerical Simulation of Visually Guided Landing Based on a Honeybee Motion Model

Research output: Contribution to journalArticle

Abstract

We verified the validity of a bio-inspired strategy for visually guided landing and its mathematical model proposed M.V. Srinivasan et al. by numerical simulation. We studied the influence of temporal discretization and the values of the supported optical flow on the landing duration and its result (from smooth to crash). An algorithm for landing simulation was developed taking into account accepted assumptions of the model. Two formulas (sine and tangent) were derived to calculate the distance and the speed of the flying robot, ensuring the constancy of the optical flow at given time steps. A limitation was found in the very value of the optical flow (threshold value), when exceeding this, the strategy leads to a hard touchdown or a crash (at near zero distance the speed is not close to zero). It was shown that the threshold value of the optical flow decreases with increasing time step in both formulas. However, calculating the distance using sine formula has a significantly lower threshold value of the optical flow than the calculation using the tangent formula. It was found that landing occurs faster if we use the sine formula at equal values of the optical flow. Nevertheless, the smooth landing ends at lower threshold values of the optical flow than using the tangent formula. As a result, using a larger value of the optical flow, a faster smooth landing can be achieved using the tangent formula.

Original languageEnglish
Pages (from-to)665-674
Number of pages10
JournalJournal of Intelligent and Robotic Systems: Theory and Applications
Volume95
Issue number2
DOIs
Publication statusPublished - 15 Aug 2019

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Optical flows
Landing
Computer simulation
Robots
Mathematical models

Keywords

  • Bio-inspired landing
  • Computer vision
  • Flying robots
  • Numerical simulation
  • Optical flow

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Artificial Intelligence
  • Electrical and Electronic Engineering

Cite this

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abstract = "We verified the validity of a bio-inspired strategy for visually guided landing and its mathematical model proposed M.V. Srinivasan et al. by numerical simulation. We studied the influence of temporal discretization and the values of the supported optical flow on the landing duration and its result (from smooth to crash). An algorithm for landing simulation was developed taking into account accepted assumptions of the model. Two formulas (sine and tangent) were derived to calculate the distance and the speed of the flying robot, ensuring the constancy of the optical flow at given time steps. A limitation was found in the very value of the optical flow (threshold value), when exceeding this, the strategy leads to a hard touchdown or a crash (at near zero distance the speed is not close to zero). It was shown that the threshold value of the optical flow decreases with increasing time step in both formulas. However, calculating the distance using sine formula has a significantly lower threshold value of the optical flow than the calculation using the tangent formula. It was found that landing occurs faster if we use the sine formula at equal values of the optical flow. Nevertheless, the smooth landing ends at lower threshold values of the optical flow than using the tangent formula. As a result, using a larger value of the optical flow, a faster smooth landing can be achieved using the tangent formula.",
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