Chapter

Scale Space and Variational Methods in Computer Vision

Volume 4485 of the series Lecture Notes in Computer Science pp 837-847

A Variational Approach for 3D Motion Estimation of Incompressible PIV Flows

  • Luis AlvarezAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Carlos CastañoAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Miguel GarcíaAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Karl KrissianAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Luis MazorraAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Agustín SalgadoAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria
  • , Javier SánchezAffiliated withDepartamento de Informatica y Sistemas, Universidad de Las Palmas de Gran Canaria

* Final gross prices may vary according to local VAT.

Get Access

Abstract

Estimation of motion has many applications in fluid analysis. Lots of work has been carried out using Particle Image Velocimetry to design experiments which capture and measure the flow motion using 2D images. Recent technological advances allow capturing 3D PIV image sequences of moving particles. In this context, we propose a new three-dimensional variational (energy-based) technique. Our technique is based on solenoidal projection to take into account the incompressibility of the real flow. It uses the result of standard flow motion estimation techniques like iterative cross-correlation or pyramidal optical flow as an initialization, and improves significantly their accuracies. The performance of the proposed technique is measured and illustrated using numerical simulations.