Chojnacki Wojciech, Brooks Michael J, van den Hengel Anton, Gawley Darren
School of Computer Science, University of Adelaide, SA 5005, Australia.
IEEE Trans Pattern Anal Mach Intell. 2004 Feb;26(2):264-8. doi: 10.1109/tpami.2004.1262197.
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.