Title of article :
Projective analysis of 2-D images
Author/Authors :
Dibos، نويسنده , , F.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1998
Abstract :
The use of the heatlike equation has been extended to the projective case in order to find a projective analysis of curves and images; unfortunately, this formulation leads to a fifth-order partial differential equation (PDE) that is not easy to implement. Thanks to the use of a three-dimensional (3-D) homogeneous representation of a picture, we present an alternative. Roughly speaking, it is a kind of decomposition of the heatlike formulation with well-posed second-order PDEs. The number of parameters goes from one to three (the scale parameter and two direction parameters). Moreover, this study allows us to propose a simplified multiscale analysis, which is given by an unique PDE (one parameter), for the subgroup of the projective transformations associated, up to a nonzero scalar factor, to an orthogonal 3×3 matrix
Keywords :
Geometrical invariants for computer vision , multiscale analysis , projective geometry.
Journal title :
IEEE TRANSACTIONS ON IMAGE PROCESSING
Journal title :
IEEE TRANSACTIONS ON IMAGE PROCESSING