Mesh blending

Splat/Mesh Blending, Perspective Rasterization and Transparency for Point-Based Rendering

In this paper we present multiple simple and efficient improvements for splatting based rendering systems. In a first step we derive a perspectively correct splat rasterization algorithm suitable for both efficient implementation on current GPU and the design of fast dedicated rasterization units taking advantages of incremental calculations. Next, we propose a new efficient and high-quality ap...

Blending basics

This article serves as a primer for the theory of online meaning construction known alternately as conceptual blending, conceptual integration, the many space model, and the network theory. Our tutorial proceeds by analyzing novel and conventional examples of linguistic and nonlinguistic blends that pertain to topics of reference, partitioning, mapping, structure projection, and dynamic mental ...

Blending margins

We investigate properties of the formula p → 2p in the basic modal logic K. We show that K satisfies an infinitary weak variant of the rule of margins, which leads to a description of a complete set of unifiers of p → 2p. Using this information, we establish that K has nullary unification type. Moreover, we show that the formula p → 2p is admissibly saturated, but not exact.

Mathematical Blending

Relative blending

Solid models may be blended through filleting or rounding operations that typically replace the vicinity of concave or convex edges by blends that smoothly connect to the rest of the solid’s boundary. Circular blends, which are popular in manufacturing, are each the subset of a canal surface that bounds the region swept by a ball of constant or varying radius as it rolls on the solid while main...