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This gives us a per vertex visible difference prediction map for the animated mesh.
I think one staple per vertex is probably a good compromise.
Moreover, for small restricted arc sets, guaranteeing a minimum number of incoming and outgoing arcs per vertex is beneficial.
Optimal means that these representations asymptotically match the respective entropy of the two classes, namely 2 bits per edge for 3-connected planar graphs, and 1.62 bits per triangle, or equivalently 3.24 bits per vertex for triangulations.
All these methods are very efficient at compressing the connectivity information, in some cases to a fraction of a bit per vertex, but the geometry and property data typically occupies much more room in the compressed bitstream than the compressed connectivity data.
We design a routing scheme for graphs admitting induced acyclic (R,D -clustering wheR,D -clusteringradius and the induced diameter of each cluster are at most 2. whereow thet, by constructinducedamily of special spanning tradiusone candachieve a routheg scheme of devinducedΔ⩽2R with labels of size O(log3n/loglogn) bits per vertex andiameterofting protocol for theachgraphs.
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Since per-vertex computations are performed less often than per-fragment computations, changing some computations from per-fragment to per-vertex can improve rendering performance.
In our current system, per-vertex calculations are implemented on the CPU.
When programmable transformation and lighting hardware becomes available, per-vertex calculations could be implemented on this hardware.
In either case, per-vertex computations can use a wider variety of operations and data types than per-fragment computations, due to limitations of fragment hardware.
Use smooth shading using per-vertex normals computed from either the subdivision scheme, e.g., Loop limit-surface normals, or using traditional face-averaged normals.
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