Closed-form solutions for physically based shape modeling andrecognition
Pentland, A.
Sclaroff, S.
Media Lab., MIT, Cambridge, MA;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Jul 1991
Volume: 13,
Issue: 7
On page(s): 715-729
ISSN: 0162-8828
References Cited: 19
CODEN: ITPIDJ
INSPEC Accession Number: 4026736
Digital Object Identifier: 10.1109/34.85660
Current Version Published: 2002-08-06
Abstract
The authors present a closed-form, physically based solution for
recovering a three-dimensional (3-D) solid model from collections of 3-D
surface measurements. Given a sufficient number of independent
measurements, the solution is overconstrained and unique except for
rotational symmetries. The proposed approach is based on the finite
element method (FEM) and parametric solid modeling using implicit
functions. This approach provides both the convenience of parametric
modeling and the expressiveness of the physically based mesh formulation
and, in addition, can provide great accuracy at physical simulation. A
physically based object-recognition method that allows simple,
closed-form comparisons of recovered 3-D solid models is presented. The
performance of these methods is evaluated using both synthetic range
data with various signal-to-noise ratios and using laser rangefinder
data
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