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Vertex v is assigned to links l1, l2, and l3, and the weights for these links are: w1 = .2, w2 = .3 and w3 = .4
In a non-partial blended case, the sum of these vertex weights is w1 + w2 + w3 = .9 (less than 1.0).
With partial blending off, Physique will normalize the weights so they sum to 1.0, for example:
w1' = w1 / w1+w2+w3 = .2/.9 = .2222222…
w2' = w2 / w1+w2+w3 = .3/.9 = .3333333…
w3' = w3 / w1+w2+w3 = .4/.9 = .4444444…
so w1'+w2'+w3' = 1.0
The weight fill-in for vertices with a weight less than 1 will always fill with the weight of the root. Whenever a vertex is assigned to a group of links, all of which are partially blended, then the remaining weight will be assigned and blended with the root link.
This works well for a case where you want partial deformation falling off to no deformation. An example would be a static head, where you are deforming the head for facial expressions, but the head itself remains in place.
Example: Vertex v is assigned to links l1, l2, and l3. The weights for these links are: w1 = .2, w2 = .3, and w3 = .4.
The sum of these vertex weights is w1 + w2 + w3 = 0.9 (less than 1.0). We need an additional fill-in weight (wf). The fill-in weight, wf, is determined by 1.0 - (w1+w2+w3) = 0.1 or 10%. Physique fills in with weight wf from the root (leaving the vertex partially undeformed).
The resulting deformation will be w1*l1 + w2*l2 + w3*l3 + wf*root. The root portion of this deformation is essentially an undeformed portion that simply follows the root of the skeleton.
The vertex weight fill-in in overlap areas will be based on the percentage of partial and non partial weights. For example, If the total weight of non partial links is 80% of the total summed partial and non partial weight, then 80% of the fill-in will be more of the non partial deformation. The remaining 20% fill-in will come from the root.
Example: If Vertex v is assigned to links l1, l2, and l3, the weights for these links are: w1 = .2, w2 = .3, and w3 = .4.
Let's assume l1 and l2 are Non Partial, and l3 is Partial. The Non Partial weight is w1 + w2 = .5; the Partial weight is w3 = .4; the Non Partial weight is .5/(.5+.4) = .555555, or 56%; and the fill-in weight is still (1.0 - .9) or wf = .1.
The program fills in with 56% of wf with more of the Non Partial Blended Links. The remaining 44% of wf is filled in with the root as in the partial blended case. This provides a smooth transition between the partial and non-partial links.
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