IEEE Trans Image Process - One-dimensional mapping for estimating projective transformations.

Tópicos

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Resumo

In this paper, the 1-D mapping is studied for estimating a general projective transformation between images. First, a ray model of image patches is proposed to convert a complex projective deformation of a patch in the Cartesian space into two simple rigid shifts of radial lines in the log-polar/inverse-polar space. To capture these shifts via direct search, two types of radial image line matching, viz. 1-D log-polar mapping and 1-D inverse-polar mapping, are formally defined. Also, the unique features of these shifts are analyzed. Then, a novel two-step mathematical framework is devised for transformation estimation. In the first step, the 1-D log-polar mapping is applied to estimating four affine parameters via two alternative methods for simulated/real images. In the second step, the 1-D inverse-polar mapping is applied to estimating two projective parameters. By a direct search combined with the two-step line matching, two translational parameters are also determined. Finally, the performance of the framework is evaluated first in estimating a variety of projective transformations by comparing the estimates with their ground truths and between the two proposed methods, and second in registering a wide range of challenging image pairs by comparing with a state-of-the-art feature-based method.

Resumo Limpo

paper d map studi estim general project transform imag first ray model imag patch propos convert complex project deform patch cartesian space two simpl rigid shift radial line logpolarinversepolar space captur shift via direct search two type radial imag line match viz d logpolar map d inversepolar map formal defin also uniqu featur shift analyz novel twostep mathemat framework devis transform estim first step d logpolar map appli estim four affin paramet via two altern method simulatedr imag second step d inversepolar map appli estim two project paramet direct search combin twostep line match two translat paramet also determin final perform framework evalu first estim varieti project transform compar estim ground truth two propos method second regist wide rang challeng imag pair compar stateoftheart featurebas method

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