A novel method for projecting points onto a point cloud, possibly with noise, is presented based on the point directed projection (DP) algorithm proposed by Azariadis P., Sapidis N. [Drawing curves onto a cloud of points for point-based modelling. Computer-Aided Design 2005; 37(1): 109–22]. The new method operates directly on the point cloud without any explicit or implicit surface reconstructi...

Goldman presented a method for computing a versor form of the perspective projection of points in the conformal model. His method starts with a view direction and distance to the projection plane, and constructs the eye point from that information. He then uses a rotor to rotate the eye to the origin. In this paper, an alternate construction using transversion for perspective projection is give...

We consider subsemimodules and convex subsets of semimodules over semirings with an idempotent addition. We introduce a nonlinear projection on subsemimodules: the projection of a point is the maximal approximation from below of the point in the subsemimodule. We use this projection to separate a point from a convex set. We also show that the projection minimizes the analogue of Hilbert’s proje...

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 ...