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Geometrically deformed models: a method for extracting closed geometric models form volume data
Conference proceeding   Open access

Geometrically deformed models: a method for extracting closed geometric models form volume data

James Miller, David Breen, William Lorensen, Robert O'Bara and Michael Wozny
Proceedings of the 18th annual conference on computer graphics and interactive techniques, pp 217-226
01 Jul 1991
url
https://doi.org/10.1145/122718.122742View
Published, Version of Record (VoR) Open Maybe Open Access (Publisher Bronze)

Abstract

volume modelling deformable models volume visualization geometric modelling constraint minimization
We propose a new approach to the problem of generating a simple topologically-closed geometric model from a point-sampled volume data set. We call such a model a Geometrically Deformed Model or GDM. A GDM is created by placing a 'seed' model in the volume data set. The model is then deformed by a relaxation process that minimizes a set of constraints that provides a measure of how well the model fits the features in the data. Constraints are associated with each vertex in the model that control local deformation, interaction between the model and the data set, and the shape and topology of the model. Once generated, a GDM can be used for visualization, shape recognition, geometric measurements, or subjected to a series of geometric operations. This technique is of special importance because of the advent of nondestructive sensing equipment (CT, MRI) that generates point samples of true three-dimensional objects.

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