Gauges and Gauge Transformations in 3-D Reconstruction from a Sequence of Images
نویسندگان
چکیده
This paper presents a consistent theory for describing indeterminacy and uncertainty of 3-D reconstruction from a sequence of images. First, we present a group-theoretical analysis of gauge transformations and gauges by invoking the Lie group theory. We then discuss how to evaluate the reliability of the solution that has indeterminacy. We also extend the Cramer-Rao lower bound to problems with internal indeterminacy. Finally, we describe the free-gauge approach and the normal form of a covariance matrix that is independent of particular gauges.
منابع مشابه
Gauges and gauge transformations for uncertainty description of geometric structure with indeterminacy
This paper presents a consistent theory for describing indeterminacy and uncertainty of three-dimensional (3-D) reconstruction from a sequence of images. First, we give a group-theoretical analysis of gauges and gauge transformations. We then discuss how to evaluate the reliability of the solution that has indeterminacy and extend the CramerRao lower bound to incorporate internal indeterminacy....
متن کاملRain Gauge Station Network Design for Hormozgan Province in Iran
A rain gauge network should serve general as well as specific purposes such as water supply, hydropowergeneration, flood forecasting, irrigation, and flood control. The level of accuracy a network can achieve depends onthe number and locations of gauges in the network. In this study, a rain gauge network was designed for Hormozganprovince in the south of Iran. Monthly rainfall totals from 124 r...
متن کامل- Type Singularities in Axial Gauges
The axial-gauge boson propagator contains 1/(η · k) p-type singularities. These singualarities have generally been treated by inventing prescriptions for them. We propose an alternative procedere for treating these singularities in the path-integral formalism using the known way of treating the 1/k 2n-type singularities in Lorentz-type gauges. For this purpose we use a finite field-dependent BR...
متن کاملRelating Green’s Functions in Axial and Lorentz Gauges using Finite Field-Dependent BRS Transformations
We use finite field-dependent BRS transformations (FFBRS) to connect the Green functions in a set of two otherwise unrelated gauge choices. We choose the Lorentz and the axial gauges as examples. We show how the Green functions in axial gauge can be written as a series in terms of those in Lorentz gauges. Our method also applies to operator Green’s functions. We show that this process involves ...
متن کاملQUANTALE-VALUED GAUGE SPACES
We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the qu...
متن کامل