Deriving a Soft Mask from Group Alpha in Java

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In the rst method of de ning a soft mask, the color, shape, and opacity of a transparency group G are rst computed by the usual formula C, f, = Composite ( C 0 , 0 , G )
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where C0 and 0 represent an arbitrary backdrop whose value does not contribute to the eventual result The C, f, and results are the group s color, shape, and alpha, respectively, with the backdrop factored out The mask value at each point is then derived from the alpha of the group Since the group s color is not used in this case, there is no need to compute it The alpha value is passed through a separately speci ed transfer function, allowing the masking effect to be customized
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742 Deriving a Soft Mask from Group Luminosity
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The second method of deriving a soft mask from a transparency group begins by compositing the group with a fully opaque backdrop of some selected color The mask value at any given point is then de ned to be the luminosity of the resulting color This allows the mask to be derived from the shape and color of an arbitrary piece of artwork drawn with ordinary painting operators The color C used to create the mask from a group G is de ned by C g , f g , g = Composite ( C 0 , 1, G ) C = ( 1 g ) C0 + g Cg where C0 is the selected backdrop color G can be any kind of group isolated or not, knockout or not producing various effects on the C result in each case The color C is then converted to luminosity in one of the following ways, depending on the group s color space:
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For CIE-based spaces, convert to the CIE 1931 XYZ space and use the Y component as the luminosity This produces a colorimetrically correct luminosity In the case of a PDF CalRGB space, the formula is Y = YA A
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using components of the Gamma and Matrix entries of the color space dictionary (see Table 414 on page 185) An analogous computation applies to other CIE-based color spaces
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For device color spaces, convert the color to DeviceGray by device-dependent
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means and use the resulting gray value as the luminosity, with no compensation for gamma or other color calibration This method makes no pretense of colorimetric correctness; it merely provides a numerically simple means to produce continuous-tone mask values Here are some recommended formulas for converting from DeviceRGB and DeviceCMYK, respectively: Y = 030 R + 059 G + 011 B Y = 030 ( 1 C ) ( 1 K ) + 059 ( 1 M ) ( 1 K ) + 011 ( 1 Y ) ( 1 K ) Following this conversion, the result is passed through a separately speci ed transfer function, allowing the masking effect to be customized The backdrop color most likely to be useful is black, which causes any areas outside the group s shape to end up with zero luminosity values in the resulting mask If the contents of the group are viewed as a positive mask, this produces the results that would be expected with respect to points outside the shape
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The preceding sections have presented the transparent imaging model at an abstract level, with little mention of its representation in PDF This section describes the facilities available for specifying transparency in PDF 14
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751 Specifying Source and Backdrop Colors
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Single graphics objects, as de ned in Section 41, Graphics Objects, are treated as elementary objects for transparency compositing purposes (subject to special treatment for text objects, as described in Section 527, Text Knockout ) That is, all of a given object is considered to be one element of a transparency stack; portions of an object are not composited with one another, even if they are described in a way that would seem to cause overlaps (such as a self-intersecting path, combined ll and stroke of a path, or a shading pattern containing an overlap or fold-over) An object s source color Cs , used in the color compositing formula, is speci ed in the same way as in the opaque imaging model: via the current color in the graphics state or the source samples in an image The backdrop color Cb is the result of previous painting operations
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