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Quantitative Assessment Protocol for Facial Soft Tissue Volumetric Changes with Stereophotogrammetry

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Published on: December 9, 2025

Fourier method for large scale surface modeling and registration.

Li Shen¹, Sungeun Kim, Andrew J Saykin

¹Center for Neuroimaging, Division of Imaging Sciences, Department of Radiology, Center for Computational Biology and Bioinformatics, Indiana University School of Medicine, 950 W Walnut St, R2 E124, Indianapolis, IN 46074.

Computers & Graphics

|February 18, 2010

Summary

This summary is machine-generated.

This study enhances Spherical Harmonic (SPHARM) description for 3D shape modeling, enabling large-scale analysis of complex surfaces. The improved SPHARM framework and registration method expand its applications in various scientific fields.

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Area of Science:

Geometric modeling and processing
Computer graphics
Medical imaging

Background:

Spherical harmonic (SPHARM) description is a Fourier shape modeling method for 3D objects.
Current SPHARM methods are limited to small, smooth surfaces due to scalability and robustness challenges.

Purpose of the Study:

To present an enhanced SPHARM framework addressing limitations in scale, robustness, and applicability.
To introduce a novel SPHARM registration method preserving homological properties.

Main Methods:

Developed a simple and efficient Fourier expansion on the sphere for large-scale modeling.
Proposed a new SPHARM registration technique to maintain topological features.

Main Results:

The enhanced SPHARM framework accurately models complex and convoluted 3D surfaces.
The new registration method effectively aligns and registers 3D models.

Conclusions:

The enhanced SPHARM framework significantly broadens the applicability of SPHARM.
This advancement enables SPHARM use in computer graphics, medical imaging, CAD/CAM, and bioinformatics.