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Updated: Jun 23, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Bandwidth selection and reconstruction quality in point-based surfaces.

Hao Wang¹, Carlos E Scheidegger, Cláudio T Silva

¹Scientific Computing and Imaging (SCI) Institute, University of Utah, Salt Lake City, UT 84112, USA. haow@cs.utah.edu

IEEE Transactions on Visualization and Computer Graphics

|May 9, 2009

Summary

This summary is machine-generated.

Optimizing bandwidth selection significantly improves point-based surface reconstruction quality. This study introduces methods for computing optimal bandwidths, outperforming previous approaches for moving least-squares surfaces.

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Area of Science:

Computer Graphics
Computational Geometry
Surface Reconstruction

Background:

Point-based surface reconstruction is crucial in computer graphics.
Moving Least-Squares (MLS) methods are widely used but sensitive to parameter choices.
Bandwidth selection in MLS has been underexplored, impacting reconstruction fidelity.

Purpose of the Study:

To investigate the critical role of bandwidth selection in point-based surface reconstruction quality.
To develop methods for computing optimal bandwidths for MLS surfaces.
To provide quantitative comparisons of different MLS formulations and their bandwidths.

Main Methods:

Formulating the polynomial fitting step as a kernel regression problem for noiseless and noisy data.
Computing optimal bandwidths for a class of moving least-squares surfaces.
Analyzing the implications of two-step projection methods on bandwidth selection.
Conducting experimental comparisons with existing heuristic methods.

Main Results:

Appropriate bandwidth selection significantly enhances reconstructed surface quality.
The proposed method for optimal bandwidth computation outperforms heuristic approaches.
Quantitative comparisons reveal performance differences between various MLS surface formulations.
The study identifies effective bandwidth choices for alternative MLS formulations.

Conclusions:

Bandwidth selection is a critical factor for achieving high-quality point-based surface reconstruction.
The developed methods provide a principled approach to optimize bandwidths for MLS surfaces.
This work offers the first quantitative comparison of MLS formulations with their optimal bandwidths, guiding future research and application.