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S E CTIO N 7 3
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where the variables have the meanings shown in Table 76 Compare these formulas with those shown in Section 727, Summary of Basic Compositing Computations
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TABLE 76 Revised variables for the basic compositing formulas
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732 Group Structure and Nomenclature
As stated earlier, the elements of a group are treated as a separate transparency stack, the group stack These objects are composited against a selected initial backdrop (to be described) and the resulting color, shape, and opacity are then treated as if they belonged to a single object The resulting object is in turn composited with the group s backdrop in the usual way
CHA P TE R 7
Transparency
This computation entails interpreting the stack as a tree For an n-element group that begins at position i in the stack, it treats the next n objects as an n-element substack, whose elements are given an independent numbering of 1 to n These objects are then removed from the object numbering in the parent (containing) stack and replaced by the group object, numbered i, followed by the remaining objects to be painted on top of the group, renumbered starting at i + 1 This operation applies recursively to any nested subgroups Henceforth, the term element (denoted Ei ) refers to a member of some group; it can itself be either an individual object or a contained subgroup From the perspective of a particular element in a nested group, there are three different backdrops of interest:
The group backdrop is the result of compositing all elements up to but not including the rst element in the group (This de nition is altered if the parent group is a knockout group; see Section 735, Knockout Groups )
The initial backdrop is a backdrop that is selected for compositing the group s
rst element This is either the same as the group backdrop (for a non-isolated group) or a fully transparent backdrop (for an isolated group)
The immediate backdrop is the result of compositing all elements in the group
up to but not including the current element When all elements in a group have been composited, the result is treated as if the group were a single object, which is then composited with the group backdrop (Note that this operation occurs whether the initial backdrop chosen for compositing the elements of the group was the group backdrop or a transparent backdrop There is a special correction to ensure that the backdrop s contribution to the overall result is applied only once)
733 Group Compositing Computations
The color and opacity of a group are de ned by the group compositing function: C, f, = Composite (C 0, 0, G ) where the variables have the meanings shown in Table 77
S E CTIO N 7 3
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TABLE 77 Arguments and results of the group compositing function
VARIABLE MEANING
The transparency group: a compound object consisting of all elements E1, , En of the group the n constituent objects colors, shapes, opacities, and blend modes Color of the group s backdrop Computed color of the group, to be used as the source color when the group itself is treated as an object Computed shape of the group, to be used as the object shape when the group itself is treated as an object Alpha of the group s backdrop Computed alpha of the group, to be used as the object alpha when the group itself is treated as an object
C0 C
0
Note that the opacity is not given explicitly as an argument or result of this function Almost all of the computations use the product of shape and opacity (alpha) rather than opacity by itself, so it is usually convenient to work directly with shape and alpha, rather than shape and opacity When needed, the opacity can be computed by dividing the alpha by the associated shape The result of applying the group compositing function is then treated as if it were a single object, which in turn is composited with the group s backdrop according to the usual formulas In those formulas, the color, shape, and alpha (C, f, and ) calculated by the group compositing function are used, respectively, as the source color Cs , the object shape fj , and the object alpha j