A number of semicontinuity concepts and the relations between them are discussed. Characterizations are given for when the (set-valued) metric projection P M onto a proximinal subspace M of a normed linear space X is approximate lower semicontinuous or 2-lower semicontinuous. A geometric characterization is given of those normed linear spaces X such that the metric projection onto every one-dim...

Object pose estimation is a difficult task due to the non-linearities of the projection process; specifically with regard to the effect of depth. To overcome this complication, most algorithms use an error metric which removes the effect of depth. Recently, two new algorithms have been proposed based upon iteratively improving pose estimates obtained with weak-perspective or paraperspective app...

This paper provides some conditions to obtain best uniform coapproximation. Some error estimates are determined. A relation between interpolation and best uniform coapproximation is exhibited. Continuity properties of selections for the metric projection and the cometric projection are studied.

We derive the Gilbert–Varshamov and Hamming bounds for packings of spheres (codes) in the Grassmann manifolds over and . Asymptotic expressions are obtained for the geodesic metric and projection Frobenius (chordal) metric on the manifold.

Point cloud coding solutions have been recently standardized to address the needs of multiple application scenarios. The design and assessment point methods require reliable objective quality metrics evaluate level degradation introduced by compression or any other type processing. Several proposed reliably estimate human perceived quality, including so-called projection-based metrics. In this ...