RT info:eu-repo/semantics/conferenceObject
T1 Computer Algebra Algorithms Applied to Computer Vision in a Parking Management System
A1 López Sastre, Roberto Javier
A1 Gil Jiménez, Pedro
A1 Acevedo Rodríguez, Francisco Javier
A1 Maldonado Bascón, Saturnino
K1 Computer vision
K1 Algebra
K1 Parking management system
K1 Object recognition
K1 Ciencias tecnológicas
K1 Telecomunicaciones
K1 Technology
K1 Telecommunication
AB From this paper, we propose a novel methodology to compute a 2D Homography applying some algorithms of computer algebra. We consider the classical problem of solving (exactly) a linear system of algebraic equations, and we suggest a new algorithm for computer vision, based on homomorphism methods over Z, to solve a system of equations necessary to achieve a 3 × 3 matrix H which lets us to compute the projective transformation which translates coordinates between points in different planes. From this work, we want to show that it is possible to apply a symbolic approach to some crucial issues of computer vision, moreover of the numerical methodology, in order to reduce the complexity of some algorithms, and to eliminate the problems associated with loss of precision and normalization. We test our technique in a real situation: a parking management system, which creates a pseudo-top-view of a parking area to determine if there are free parking lots or not.
PB Institute Electrical Electronics Engineering
YR 2007
FD 2007-06
LK http://hdl.handle.net/10017/1270
UL http://hdl.handle.net/10017/1270
LA eng
DS MINDS@UW
RD 05-jun-2023