Multiview Constraints for Recognition of Planar Curves in Fourier Domain

Multiview relations such as the Fundamental matrix and the Trilinear tensor provide scene-independent characterization of a combination of views in the form of algebraic constraints. In this paper, we present a number of multiview constraints for collections of primitives, such as a planar shape boundary. The rich domain of Fourier transforms helps us to combine the properties of the collection with the multiview situation. We derive a number of viewindependent algebraic constraints under the assumption of affine image-to-image homography. These constraints provide useful tools to match and recognize planar boundaries across multiple views without the knowledge of the camera parameters or pixel-to-pixel correspondence. We present the results of shape matching in a number of synthetic and real situations in this paper.