title: From FNS to HEIV: a link between two vision parameter estimation methods.
abstract: Problems requiring accurate determination of parameters from image-based quantities arise often in computer vision. Two recent, independently developed frameworks for estimating such parameters are the FNS and HEIV schemes. Here, it is shown that FNS and a core version of HEIV are essentially equivalent, solving a common underlying equation via different means. The analysis is driven by the search for a nondegenerate form of a certain generalized eigenvalue problem and effectively leads to a new derivation of the relevant case of the HEIV algorithm. This work may be seen as an extension of previous efforts to rationalize and interrelate a spectrum of estimators, including the renormalization method of Kanatani and the normalized eight-point method of Hartley.
authors.affiliation: School of Computer Science, University of Adelaide, SA 5005, Australia. wojtek@cs.adelaide.edu.au
authors.forename: Wojciech
authors.initials: W
authors.lastname: Chojnacki
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Brooks
authors.forename: Anton
authors.initials: A
authors.lastname: van den Hengel
authors.forename: Darren
authors.initials: D
authors.lastname: Gawley
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003198:Computer Simulation; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D015233:Models, Statistical; D009716:Numerical Analysis, Computer-Assisted; D010363:Pattern Recognition, Automated; D010780:Photogrammetry / Q000379:methods; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D013382:Subtraction Technique