23 June 1993 Spline-based approach for averaging three-dimensional curves and surfaces
Author Affiliations +
Abstract
Our topic is the construction of a detailed parametric average of three-dimensional surface form from a sample of specimens labelled in accordance with the features of that average. The labelling, which takes the conceptual and topological form of a smooth wire mesh, is a hybrid of biological information and linearized geometric schemes applying to a variety of geometric elements: points, curves, and surface patches. We do not 'smooth' the individual specimens of a sample; instead, we carefully restrict the scope of differentiations of empirical geometric elements so as to apply only after specimens have been averaged. Likewise, while we carry out all averaging in a single Cartesian coordinate system, we carefully 'unwarp' the largest- scale aspects of biological variability within this system before proceeding with the averaging of features at smaller scales. The resulting algorithms underlie useful visualizations of 'typical' or 'normative' anatomy and its variability for consideration in formal computations of statistical atypicality and optimization of interventions and should be crucial to future approaches to image analysis via the automatic deformation of geometrically extended templates.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Court B. Cutting, Court B. Cutting, Fred L. Bookstein, Fred L. Bookstein, Betsy Haddad, Betsy Haddad, David Dean, David Dean, David Kim, David Kim, } "Spline-based approach for averaging three-dimensional curves and surfaces", Proc. SPIE 2035, Mathematical Methods in Medical Imaging II, (23 June 1993); doi: 10.1117/12.146610; https://doi.org/10.1117/12.146610
PROCEEDINGS
16 PAGES


SHARE
RELATED CONTENT

Segmentation of cortical bone using fast level sets
Proceedings of SPIE (February 23 2017)
Feature space for edgels in images with landmarks
Proceedings of SPIE (December 08 1992)
Edge information at landmarks in medical images
Proceedings of SPIE (September 21 1992)
Construction of image analysis programs in echocardiography
Proceedings of SPIE (October 31 1990)

Back to Top