Title
Dense versus Sparse Approaches for Estimating the Fundamental Matrix
Abstract
There are two main strategies for solving correspondence problems in computer vision: sparse local feature based approaches and dense global energy based methods. While sparse feature based methods are often used for estimating the fundamental matrix by matching a small set of sophistically optimised interest points, dense energy based methods mark the state of the art in optical flow computation. The goal of our paper is to show that this separation into different application domains is unnecessary and can be bridged in a natural way. As a first contribution we present a new application of dense optical flow for estimating the fundamental matrix. Comparing our results with those obtained by feature based techniques we identify cases in which dense methods have advantages over sparse approaches. Motivated by these promising results we propose, as a second contribution, a new variational model that recovers the fundamental matrix and the optical flow simultaneously as the minimisers of a single energy functional. In experiments we show that our coupled approach is able to further improve the estimates of both the fundamental matrix and the optical flow. Our results prove that dense variational methods can be a serious alternative even in classical application domains of sparse feature based approaches.
Year
DOI
Venue
2012
10.1007/s11263-011-0466-7
International Journal of Computer Vision
Keywords
Field
DocType
Optical flow,Fundamental matrix,Performance evaluation,3D reconstruction
Computer science,Variational model,Artificial intelligence,Feature based,Energy functional,Optical flow,Small set,Sparse matrix,Fundamental matrix (computer vision),Machine learning,3D reconstruction
Journal
Volume
Issue
ISSN
96
2
0920-5691
Citations 
PageRank 
References 
16
0.83
71
Authors
4
Name
Order
Citations
PageRank
Levi Valgaerts147015.88
Andrés Bruhn2155882.42
Markus Mainberger31116.83
Joachim Weickert45489391.03