Object-Image Metrics for Generalized Weak Perspective Projection
Gregory D. Arnold, Peter F. Stiller, Kirk Sturtz · Modeling and simulation in science, engineering & technology · 2006
Generalized weak perspective is a common camera model describing the geometric projection for many common scenarios (e.g., 3D to 2D). This chapter describes a metric constructed for comparing (matching) configurations of object features to configurations of image features that is invariant to any affine transformation of the object or image. The natural descriptors are the Plücker coordinates because the Grassmann manifold is the natural shape space for invariance of point features under affine transformations in either the object or image. The objectimage equations detail the relation between the object descriptors and the image descriptors, and an algorithm is provided to compute the distances for all cases.