Accession Number:
ADA478716
Title:
Cramer-Rao Bounds for Nonparametric Surface Reconstruction from Range Data
Descriptive Note:
Technical rept.
Corporate Author:
UTAH UNIV SALT LAKE CITY DEPT OF COMPUTER SCIENCE
Personal Author(s):
Report Date:
2003-04-18
Pagination or Media Count:
24.0
Abstract:
The Cramer-Rao error bound provides a fundamental limit on the expected performance of a statistical estimator. The error bound depends on the general properties of the system, but not on the specific properties of the estimator or the solution. The Cramer-Rao error bound has been applied to scalar- and vector-valued estimators and recently to parametric shape estimators. However, nonparametric, low-level surface representations are an important important tool in 3D reconstruction, and are particularly useful for representing complex scenes with arbitrary shapes and topologies. This paper presents a generalization of the Cramer-Rao error bound to nonparametric shape estimators. Specifically, we derive the error bound for the full 3D reconstruction of scenes from multiple range images.
Descriptors:
Subject Categories:
- Statistics and Probability