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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE