A Method for Estimating Unknown Parameters from Particle Tracking Experiments

A new method for estimating joint parameters from motion data.

Joint centers and axes of rotation (joint parameters) are central to all branches of movement analysis. In gait analysis, the standard protocol used to determine hip and knee joint parameters is prone to errors arising from palpation, anthropometric regression equations, and misplaced alignment devices. Several alternative methods have been proposed, but to date none have been shown to be accur...

Monte Carlo method for adaptively estimating the unknown parameters and the dynamic state of chaotic systems.

We propose a Monte Carlo methodology for the joint estimation of unobserved dynamic variables and unknown static parameters in chaotic systems. The technique is sequential, i.e., it updates the variable and parameter estimates recursively as new observations become available, and, hence, suitable for online implementation. We demonstrate the validity of the method by way of two examples. In the...

Method for estimating scene parameters from color histograms

One of the key tools in applying physics-based models to machine vision has been the analysis of color histograms. In the mid-1980’s it was recognized that the color histogram for a single inhomogeneous surface with highlights will have a planar distribution in color space. I t has since been shown that the colors do not fall randomly in a plane but form clusters a t specific points. Physics-ba...

Method for Estimating Scan Parameters from Tomographic Data

A general method of estimating stellar astrophysical parameters from photometry

Context. Applying photometric catalogs to the study of the population of the Galaxy is obscured by the impossibility to map directly photometric colors into astrophysical parameters. Most of all-sky catalogs like ASCC or 2MASS are based upon broad-band photometric systems, and the use of broad photometric bands complicates the determination of the astrophysical parameters for individual stars. ...