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IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 10, NO. 10, OCTOBER 2001 1541 Three-Dimensional Modeling
 

Summary: IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 10, NO. 10, OCTOBER 2001 1541
Three-Dimensional Modeling
from Two-Dimensional Video
Pedro M. Q. Aguiar and Josť M. F. Moura, Fellow, IEEE
Abstract--This paper presents the surface-based factorization
method to recover three-dimensional (3-D) structure, i.e., the 3-D
shape and 3-D motion, of a rigid object from a two-dimensional
(2-D) video sequence. The main ingredients of our approach are as
follows:
1) we describe the unknown shape of the 3-D rigid object by
polynomial patches;
2) projections of these patches in the image plane move ac-
cording to parametric 2-D motion models;
3) we recover the parameters describing the 3-D shape and 3-D
motion from the 2-D motion parameters by factorizing a ma-
trix that is rank 1 in a noiseless situation.
Our method is simultaneously an extension and a simplification of
the original factorization method of Tomasi and Kanade [1]. We
track regions where the 2-D motion in the image plane is described
by a single set of parameters, avoiding the need to track a large

  

Source: Aguiar, Pedro M. Q. - Institute for Systems and Robotics (Lisbon)
Moura, Josť - Department of Electrical and Computer Engineering, Carnegie Mellon University

 

Collections: Engineering