S. Soatto et P. Perona, REDUCING STRUCTURE-FROM-MOTION - A GENERAL FRAMEWORK FOR DYNAMIC VISION PART 1 - MODELING, IEEE transactions on pattern analysis and machine intelligence, 20(9), 1998, pp. 933-942
The literature on recursive estimation of structure and motion from mo
nocular image sequences comprises a large number of apparently unrelat
ed models and estimation techniques. We propose a framework that allow
s us to derive and compare all models by following the idea of dynamic
al system reduction. The ''natural'' dynamic model, derived from the r
igidity constraint and the projection model, is first reduced by expli
citly decoupling structure (depth) from motion. Then, implicit decoupl
ing techniques are explored, which consist of imposing that some funct
ion of the unknown parameters is held constant. By appropriately choos
ing such a function, not only can we account for models seen so far in
the literature, but we can also derive novel ones.