Compositing describes how shapes of different elements are combined
into a single image. There are various possible approaches for
compositing. Previous versions of SVG used Simple
Alpha Compositing. In this model, each element is rendered into its
own buffer and is then merged with its backdrop
using the Porter Duff source-over operator.
This specification will define a new compositing model that expands upon
the Simple Alpha Compositing model by offering:
additional Porter Duff compositing operators;
advanced blending modes which allow control of how colors mix in the
areas where shapes overlap; and
compositing groups
Status of This Document
This section describes the status of this document at the time of
its publication. Other documents may supersede this document. A list of
current W3C publications and the latest revision of this technical report
can be found in the W3C technical reports
index at http://www.w3.org/TR/.
Publication as a Working Draft does not imply endorsement by the W3C
Membership. This is a draft document and may be updated, replaced or
obsoleted by other documents at any time. It is inappropriate to cite this
document as other than work in progress.
The (archived) public
mailing list public-fx@w3.org (see
instructions) is preferred
for discussion of this specification. When sending e-mail, please put the
text “compositing” in the subject, preferably like this:
“[compositing] …summary of comment…”
The first part of this document will describe the algorithms of Porter
Duff compositing and blending. The second part describes the properties
used to control the compositing in CSS.
1.1. What is compositing?
Compositing is the combining of a graphic element with its backdrop.
The figure below, gives a basic example of compositing. The graphic
element, a ... in this case, is overlaid on top of the backdrop to produce
a composite image. Where the graphic element is opaque, it obscures the
backdrop and where the graphic element is partially transparent, some of
the backdrop can be seen through.
Add a pretty picture. I'm thinking a house with a window
that is transparent overlaid on a mountain scene.
In the model described in this specification there are two steps to the
overall compositing operation - Porter Duff
compositing and blending. Porter Duff
compositing takes into account the overall shape of the graphic element
and its opacity, as well as the opacity and shape of the backdrop, and
determines where the backdrop is visible, where the graphic element is
visible and where one is visible through the other. The blending step
determines how the colors from the graphic element and the backdrop
interact.
Typically, the blending step is performed first, followed by the PD
compositing step. In the blending step, the resultant color from the mix
of the element and the the backdrop is calculated.
The graphic element's color is replaced with this resultant color. The
graphic element is then composited with the backdrop using the specified compositing operator.
Shape is defined by the mathematical description of the shape. Shape
either exists at a particular point or it does not. There are no
gradations. Opacity is described using an alpha value, stored alongside
the color value for each particular point. The alpha value is between 0
and 1, inclusive. A value of 0 means that the pixel has no coverage at
that point, and is therefore transparent; i.e. there is no color
contribution from any geometry because the geometry does not overlap this
pixel. A value of 1 means that the pixel is fully opaque; the geometry
completely overlaps the pixel.
1.2. simple alpha
compositing
The simple alpha compositing model used in previous versions of SVG
allowed for the illusion of partial or full transparency. While this
specification provides the author the choice of many Porter Duff
compositing operators and many blending modes, the simple alpha
compositing model forced a single Porter Duff compositing operator and a
single blend mode.
The formula for simple alpha compositing is
co = Cs x αs + Cb x αb x (1 - αs)
Where
co: the pixel value after compositing
Cs: the color value of the source graphic element being composited
αs: the alpha value of the source graphic element being composited
Cb: the pixel value of the backdrop
αb: the alpha value of the backdrop
All values are between 0 and 1 inclusive.
The pixel value after compositing (co) is given by adding the
contributions from the source graphic element [Cs x αs] and the backdrop
[Cb x αb x (1 - αs)]. For both the graphic element and the backdrop, the
color values are multiplied by the alpha to determine the amount of color
that contributes. With zero alpha meaning that the color does not
contribute and partial alpha means that some percentage of the color
contributes. The contribution of the backdrop is further reduced based on
the opacity of the graphic element. Conceptually, (1 - αs) of the
backdrop shows through the graphic element, meaning that if the graphic
element is fully opaque (αs=1) then no backdrop shows through.
The simple alpha compositing formula listed above gives a resultant
color which is the result of the weighted average of the backdrop color
and graphic element color, with the weighting determined by the backdrop
and graphic element alphas.
The resultant alpha value of the composite is simply the sum of the
contributed alpha of the composited elements. The formula for the
resultant alpha of the composite is
αo = αs + αb x (1 - αs)
Where
αo: the alpha value of the composite
αs: the alpha value of the graphic element being composited
αb: the alpha value of the backdrop
Often, it can be more efficient to store a pre-multiplied
value for the color and opacity. The pre-multiplied value is given
by
cs = Cs x αs
with
cs: the pre-multiplied value
Cs: the color value
αs: the alpha value
Thus the formula for simple alpha compositing using pre-multplied
values becomes
co = cs + cb x (1 - αs)
To extract the color component of a pre-multiplied value, the formula
is reversed:
Co = co / αo
1.3.
Examples of simple alpha compositing
Figure 1
Figure 1 describes the most basic case. It consists of 1 shape that is
filled with a solid color (α = 1). The shape is composited with an empty
background. The empty background has no effect on the resultant
composite.
Cs = RGB(1,0,0)
αs = 1
Cb = RGB(0,0,0)
αb = 0
co = Cs x αs + Cb x αb x (1 - αs)
co = RGB(1,0,0) x 1 + RGB(0,0,0) x 0 x (1 - 1)
co = RGB(1,0,0) x 1
co = RGB(1,0,0)
Figure 2
Figure 2 is a more complex example. There is no transparency, but the
2 shapes intersect.
Applying the compositing formula in the area of intersection, gives:
Cs = RGB(0,0,1)
αs = 1
Cb = RGB(1,0,0)
αb = 1
co = Cs x αs + Cb x αb x (1 - αs)
co = RGB(0,0,1) x 1 + RGB(1,0,0) x 1 x (1 - 1)
co = RGB(0,0,1) x 1 + RGB(1,0,0) x 1 x 0
co = RGB(0,0,1) x 1
co = RGB(0,0,1)
Calculating the color component of the resultant composite
Co = co / αo
Co = RGB(0, 0, 1) / 1
Co = RGB(0, 0, 1)
Figure 3
Figure 3 shows an example where the shape has some transparency, but
the backdrop is fully opaque.
Applying the compositing formula in the area of intersection, gives:
Cs = RGB(0,0,1)
αs = 0.5
Cb = RGB(1,0,0)
αb = 1
co = Cs x αs + Cb x αb x (1 - αs)
co = RGB(0,0,1) x 0.5 + RGB(1,0,0) x 1 x (1 - 0.5)
co = RGB(0,0,1) x 0.5 + RGB(1,0,0) x 0.5
co = RGB(0.5,0,0.5)
Calculating the color component of the resultant composite
Co = co / αo
Co = RGB(0.5, 0, 0.5) / 1
Co = RGB(0.5, 0, 0.5)
Figure 4
Figure 4 shows an example where both the shape and the backdrop are transparent.
Applying the compositing formula in the area of intersection, gives:
Cs = RGB(0,0,1)
αs = 0.5
Cb = RGB(1,0,0)
αb = 0.5
co = Cs x αs + Cb x αb x (1 - αs)
co = RGB(0,0,1) x 0.5 + RGB(1,0,0) x 0.5 x (1 - 0.5)
co = RGB(0,0,1) x 0.5 + RGB(1,0,0) x 0.25
co = RGB(0.25, 0, 0.5)
Calculating the color component of the resultant composite
Co = co / αo
Co = RGB(0.25, 0, 0.5) / 0.75
Co = RGB(0.33, 0, 0.66)
2. General Formula for
Compositing and Blending
The general formula for compositing and blending which allows for
selection of the compositing operator and blending function comprises two
steps. The terms used in these functions will be described in detail in
the following sections.
Apply the blend in place
Cs = (1 - αb) x Cs + αb x B(Cb, Cs)
Composite
Co = αs x Fa x Cs + αb x Fb x Cb
Where: Cs: is the source color Cb: is the backdrop color αs: is the source alpha αb: is the backdrop alpha B(Cb, Cs): is the mixing function Fa: is defined by the Porter Duff operator in use Fb: is defined by the Porter Duff operator in use
3. Backdrop calculation
The backdrop is the content behind the element and is what the element
is composited with. This means that the backdrop is the result of
compositing all previous elements.
3.1. Examples of backdrop
calculation
Figure 5
Figure 5 has 2 simple shapes. The backdrop for the blue shape includes
the bottom right corner of the red shape . The dotted line shows the area
that is examined during compositing of the blue shape.
Figure 6
In figure 6, the shape in the backdrop has an alpha value. The alpha
value of the backdrop shape is preserved when the backdrop is calculated.
4. Compositing Groups
Compositing groups allow more control over the interaction of
compositing with the backdrop. Groups can be used to specify how a
compositing effect within a group will interact with the content that is
already in the scene (the backdrop).
Compositing groups may be made up of any number of elements, and may
contain other compositing groups.
The default properties of a compositing group shall cause no visual
difference compared to no groups. See Group
Invariance. The result of this is that single elements behave as if
they were in a group by themselves.
A compositing group is rendered by first compositing the elements of
the group onto the inital backdrop. The result of this is a single element
containing color and alpha information. This element is then composited
onto the group backdrop. Steps shall be taken to ensure the group backdrop
makes only a single contribution to the final composite.
initial backdrop
The intial backdrop is the backdrop selected for compositing the
group's first element. This will be the same as the group backdrop in a
non-isolated group, or a fully transparent backdrop for an isolated
group.
group backdrop
The group backdrop is the result of compositing all elements up to
but not including the frist element in the group. The use of knockout groups changes this definition.
4.1. Group invariance
An important behavior of simple alpha compositing is its group
invariance. This behavior is preserved in the more complex model described
in this specification. Adding or removing grouping with default attributes
shall not show visual differences.
so: A + B + C = A + (B + C) = (A + B) + C
When adding attributes to the group such as knockout, isolate, blending
modes other than normal or Porter Duff compositing operators other than
source-over, groups may no longer be invariant.
4.2. Isolated Groups
Isolated groups are controlled with the isolation property.
In an isolated group, the initial backdrop shall be black and fully
transparent - RGBA(0, 0, 0, 0).
In this instance, the initial backdrop is different than the group
backdrop. The only interaction with the group backdrop shall occur when
the group's computed color, shape and alpha are composited with it.
In a knockout group, each individual element shall be composited with
the initial backdrop rather than with the stack of preceeding elements in
the group. When calculating the backdrop for an
element inside a knockout group, the elements of the group are ignored.
Instead, only the elements that are behind the knockout group are included
in the backdrop.
The above example demonstrates two versions of a group containing three
squares (red, green, blue) that are 50% opaque. The group is composited
over a grey striped background.
On the left, the group has the ‘knock-out’
property set to ‘knock-out’. On the right,
the group has the ‘knock-out’ property set
to ‘preserve’.
If the ‘knock-out’ property has the value
‘knock-out’, each element within the group
is only composited with the elements underneath the group.
4.4. The Page Group
The top level group is the page group. All other elements and groups
are composited into this group. The page group is an isolated group.
The page group is composited with a backdrop color defined by the User
Agent. Typically this will be white with 100% opacity.
The page group may be used as an element in another graphical composition.
For example,
an SVG file contains a red object at 50% opacity,
The user agent composites the page group onto a white background with 100%
opacity.
The results are as follows:
which is the color value ultimately displayed by the user agent.
5. Advanced compositing
features
Simple alpha compositing uses the
source-over Porter Duff compositing operator. Additional compositing
operators exist and may be specified with the alpha-compositing property. The
additional compositing operators allow for more complex interactions
between the shapes of elements being composited. The compositing operators
are described in ‘The Porter Duff compositing operators’. The
operators that applies to an element or group is selected using the alpha-compositing property.
Porter Duff compositing is based on a model of a pixel in which two
shapes (source and destination) may contribute to the final color of the
pixel. The pixel is divided into 4 sub-pixel regions and each region
represents a possible combination of source and destination.
The four regions are:
Source Only
Where only the source contributes to the pixel color
Destination only
where only the destination contributes to the pixel color
Both
Source and Destination – where both the source and destination may
combine to define the pixel color
None
No source or Destination – where neither make a contribution to the
final pixel color
Destination is synonymous with backdrop. The term destination
is used in this section as this is considered the standard when working
with Porter Duff compositing. Additionally, the compositing operators use
‘destination’ in their names.
The contribution from each region to the final pixel color is defined by
the coverage of the shape at that pixel, and the operator in use. Coverage
is specified in terms of alpha. Full alpha (1) implies full coverage,
while zero alpha implies no coverage. This means that the area of each
region within the sub-pixel is dependent on the coverage of each shape
contributing to the pixel. The area of each region can be calculated with
the following equations:
Both
αs x αb
Source only
αs(1 – αb)
Destination only
αb(1 – αs)
None
(1 – αs)(1 – αb)
The figure above represents coverage of 0.5 for both source and
destination.
Both = 0.5 x 0.5 = 0.25
Source Only = 0.5 (1 – 0.5) = 0.25
Destination Only = 0.5(1 – 0.5) = 0.25
None = (1 – 0.5)(1 – 0.5) = 0.25
Therefore, the area of each region is 25% in this example.
5.1. The
Porter Duff Compositing Operators
The landmark 1984 paper [3] by Thomas Porter and Tom Duff, who worked
for Lucasfilm, defined the algebra of compositing and developed the twelve
"Porter Duff" operators. These operators control the results of mixing the
four sub-pixel regions formed by the overlapping of graphical objects that
have an alpha or pixel coverage channel/value. The operators use all
practical combinations of the four regions.
There are 12 basic Porter Duff operators, satisfying all possible
combinations of source and destination.
From the geometric representation of each operator, the contribution of
each shape can be seen to be expressed as a fraction of the total coverage
of the output. For example, in source over, the possible contribution of
source is full (1) and the possible contribution of destination is
whatever is remaining (1 – αs). This is modified by the coverage of
source and destination to give the equation for the final coverage of the
pixel:
αo = αs x 1 + αb x (1 – αs)
The fractional terms Fa (1 in this example) and Fb (1 – αs in this
example) are defined for each operator and specify the fraction of the
shapes that may contribute to the final pixel value. The general form of
the equation for coverage is:
αs x Fa + αb x Fb
and incorporating color gives the general Porter Duff equation
co = αs x Fa x Cs + αb x Fb x Cb
Where: co is the output color pre-multiplied with the output alpha [0 <=
co <= 1] αs is the coverage of the source Fa is defined by the operator
and controls inclusion of the source Cs is the color of the source (not
multiplied by alpha) αb is the coverage of the destination Fb is defined
by the operator and controls inclusion of the destination Cb is the color
of the destination (not multiplied by alpha)
5.1.1.
Clear
No regions are enabled.
Fa = 0; Fb = 0
co = 0
αo = 0
5.1.2.
Copy
Only the source will be present.
Fa = 1; Fb = 0
co = αs x Cs
αo = αs
5.1.3.
Destination
Only the destination will be present.
Fa = 0; Fb = 1
co = αb x Cb
αo = αb
5.1.4.
Source Over
Source is placed over the destination
Fa = 1; Fb = 1 – αs
co = αs x Cs + αb x Cb x (1 – αs)
αo = αs + αb x (1 – αs)
5.1.5.
Destination Over
Destination is placed over the source.
Fa = 1 – αb; Fb = 1
co = αs x Cs x (1 – αb) + αb x Cb
αo = αs x (1 – αb) + αb
5.1.6.
Source In
The source that overlaps the destination, replaces the destination.
Fa = αb; Fb = 0
co = αs x Cs x αb
αo = αs x αb
5.1.7.
Destination In
Destination which overlaps the source, replaces the source.
Fa = 0; Fb = αs
co = αb x Cb x αs
αo = αb x αs
5.1.8.
Source Out
Source is placed, where it falls outside of the destination.
Fa = 1 – αb; Fb = 0
co = αs x Cs x (1 – αb)
αo = αs x (1 – αb)
5.1.9.
Destination Out
Destination is placed, where it falls outside of the source.
Fa = 0; Fb = 1 – αs
co = αb x Cb x (1 – αs)
αo = αb x (1 – αs)
5.1.10.
Source Atop
Source which overlaps the destination, replaces the destination.
Destination is placed elsewhere.
Fa = αb; Fb = 1 – αs
co = αs x Cs x αb + αb x Cb x (1 – αs)
αo = αs x αb + αb x (1 – αs)
5.1.11.
Destination Atop
Destination which overlaps the source replaces the source. Source is
placed elsewhere.
Fa = 1 - αb; Fb = αs
co = αs x Cs x (1 - αb) + αb x Cb x αs
αo = αs x (1 - αb) + αb x αs
5.1.12.
XOR
The non-overlapping regions of source and destination are combined.
Fa = 1 - αb; Fb = 1 – αs
co = αs x Cs x (1 - αb) + αb x Cb x (1 – αs)
αo = αs x (1 - αb) + αb x (1 – αs)
5.1.13.
Lighter
Display the sum of the source image and destination image. It is defined
in the Porter Duff paper [3] as the ‘plus’
operator.
Fa = 1; Fb = 1
co = αs x Cs + αb x Cb;
αo = αs + αb
5.2. Group compositing
behavior with Porter Duff modes
5.2.1. Isolated
groups and Porter Duff modes
When compositing the elements within an isolated group, the elements
are composited over an empty (RGBA(0, 0, 0, 0)) initial backdrop. If the
bottom element in the group uses a Porter Duff compositing operator which
is dependent on the backdrop, such as destination, source-in, destination-in, destination-out or source-atop, then the
result of the composite will be empty. Subsequent elements within the
group are composited with the result of the first composite.
5.2.2. Knockout
groups and Porter Duff modes
Every element within a knock-out group is composited with the initial
backdrop. This means, that for every element within the group, the
backdrop for the compositing of that element, is the initial backdrop.
In the example below, the elements within the group (the circle and the
square) are composited using the source-atop operator,
with only the hexagon. This has the effect of "knocking out" the circle,
where it is overlapped by the square.
Additionally, because the source-atop Porter Duff operator is used, the
source shape (either the square or the circle) is only placed where the
backdrop exists (the backdrop being the hexagon for both compositing
operations within the group).
5.2.3. Clip to
self behavior
When compositing, the areas of the composite that may be modified by
the compositing operation, must fall within the shape of the element being
composited (i.e. where α > 0). This is known as "clip to self" in some
graphics libraries. The alternative is to not clip the compositing
operation at all. The results can be seen below. Some of the Porter Duff
operators are unchanged, because they normally have no effect outside the
source region. The changes can be seen in the clear, source, source-in,
destination-in, source-out and destination-atop.
6. Blending
Blending is the aspect of compositing that calculates the mixing of
colors where the source element and backdrop overlap. Blending takes the
colors of the source element and mixes them with the backdrop in areas where the source element and
backdrop overlap. Conceptually, the colors in the source element are
blended in place with the backdrop. After blending, the modified source
element is composited with the backdrop. In practice, this is usually all
performed in one step.
The blending calcualtions must not use pre-multiplied color
values.
The "mixing" formula is defined as:
Cm = B(Cb, Cs)
with:
Cm: the result color after blending
B: the formula that does the blending
Cb: the backdrop color
Cs: the source color
The result of the mixing formula must be clamped to the minimum and
maximum values of the color range.
The result of the mixing function is modulated by the backdrop alpha. A
fully opaque backdrop allows the mixing function to be fully realised. A
transparent backdrop will cause the final result to be a weighted average
between the source color and mixed color with the weight controlled by the
backdrop alpha. The value of the new color becomes:
Cr = (1 - αb) x Cs + αb x B(Cb, Cs)
with:
Cr: the result color
B: the formula that does the blending
Cs: the source color
Cb: the backdrop color
αb: the backdrop alpha
This example has a red rectangle with a blending mode that is placed
on top of a set of green rectangles that have different levels of
opacity.
Note how the top rectangle shifts more toward red as the opacity of the
backdrop lowers.
The following formula gives the color value in the area where the
source and backdrop intersects and then composites with the specified
Porter Duff compositing formula. For simple alpha blending, the formula
thus becomes:
simple alpha compositing:
co = cs + cb x (1 - αs)
written as non-premultiplied:
αo x Co = αs x Cs + (1 - αs) x αb x Cb
now subsitute the result of blending for Cs:
αo x Co = αs x ((1 - αb) x Cs + αb x B(Cb, Cs)) + (1 - αs) x αb x Cb
= αs x (1 - αb) x Cs + αs x αb x B(Cb, Cs) + (1 - αs) x αb x Cb
6.1. Separable blend
modes
A blend mode is termed separable if each component of the result color
is completely determined by the corresponding components of the
constituent backdrop and source colors — that
is, if the mixing formula is applied separately to each
set of corresponding components.
Each of the following blend modes will apply the blending function
B(Cb, Cs) on each of the color components. For simplicity, all the
examples in this chapter use source-over
compositing.
6.1.1. ‘normal’ blend mode
This is the default attribute which specifies no blending. The blending
formula simply selects the source color.
B(Cb, Cs) = Cs
6.1.2. ‘multiply’ blend mode
The source color is multiplied by the destination color and replaces
the destination.
The resultant color is always at least as dark as either the source or
destination color. Multiplying any color with black results in black.
Multiplying any color with white preserves the original color.
B(Cb, Cs) = Cb x Cs
6.1.3. ‘screen’ blend mode
Multiplies the complements of the backdrop and
source color values, then complements the result.
The result color is always at least as light as either of the two
constituent colors. Screening any color with white produces white;
screening with black leaves the original color unchanged. The effect is
similar to projecting multiple photographic slides simultaneously onto a
single screen.
B(Cb, Cs) = 1 - [(1 - Cb) x (1 - Cs)]
= Cb + Cs -(Cb x Cs)
6.1.4. ‘overlay’ blend mode
Multiplies or screens the colors, depending on the backdrop color value.
Source colors overlay the backdrop while
preserving its highlights and shadows. The backdrop color is not replaced but is mixed with the
source color to reflect the lightness or darkness of the backdrop.
B(Cb, Cs) = HardLight(Cs, Cb)
Overlay is the inverse of the ‘hardlight’ blend mode. See the definition of
‘hardlight’ for the formula.
6.1.5. ‘darken’ blend mode
Selects the darker of the backdrop and source
colors.
The backdrop is replaced with the source where
the source is darker; otherwise, it is left unchanged.
B(Cb, Cs) = min(Cb, Cs)
6.1.6. ‘lighten’ blend mode
Selects the lighter of the backdrop and source
colors.
The backdrop is replaced with the source where
the source is lighter; otherwise, it is left unchanged.
B(Cb, Cs) = max(Cb, Cs)
6.1.7. ‘color-dodge’ blend mode
Brightens the backdrop color to reflect the
source color. Painting with black produces no changes.
Multiplies or screens the colors, depending on the source color value.
The effect is similar to shining a harsh spotlight on the backdrop.
if(Cs <= 0.5)
B(Cb, Cs) = Multiply(Cb, 2 x Cs)
else
B(Cb, Cs) = Screen(Cb, 2 x Cs -1)
See the definition of ‘multiply’ and
‘screen’ for their formulas.
6.1.10. ‘soft-light’ blend mode
Darkens or lightens the colors, depending on the source color value.
The effect is similar to shining a diffused spotlight on the backdrop
if(Cs <= 0.5)
B(Cb, Cs) = Cb - (1 - 2 x Cs) x Cb x (1 - Cb)
else
B(Cb, Cs) = Cb + (2 x Cs - 1) x (D(Cb) - Cb)
with
if(Cb <= 0.25)
D(Cb) = ((16 * Cb - 12) x Cb + 4) x Cb
else
D(Cb) = sqrt(Cb)
6.1.11. ‘difference’ blend mode
Subtracts the darker of the two constituent colors from the lighter
color.
Painting with white inverts the backdrop color;
painting with black produces no change.
B(Cb, Cs) = | Cb - Cs |
6.1.12. ‘exclusion’ blend mode
Produces an effect similar to that of the Difference mode but lower in
contrast. Painting with white inverts the backdrop
color; painting with black produces no change
B(Cb, Cs) = Cb + Cs - 2 x Cb x Cs
6.2. Non-separable
blend modes
Nonseparable blend modes consider all color components in combination
as opposed to the seperable ones that look at each component
individually.
All of these blend modes conceptually entail the following steps:
a) Convert the backdrop and source colors from the
blending color space to an intermediate hue-saturation-luminosity
representation.
b) Create a new color from some combination of hue, saturation, and
luminosity components selected from the backdrop
and source colors.
c) Convert the result back to the original color space.
The nonseparable blend mode formulas make use of several auxiliary
functions:
Lum(C) = 0.3 x Cred + 0.59 x Cgreen + 0.11 x Cblue
ClipColor(C)
L = Lum(C)
n = min(Cred, Cgreen, Cblue)
x = max(Cred, Cgreen, Cblue)
if(n < 0)
C = L + (((C - L) * L) / (L - n))
if(x > 1)
C = l + (((Cred - L) * (1 - L) / (x - L))
return C
SetLum(C, l)
d = l - Lum(C)
Cred = Cred + d
Cgreen = Cgreen + d
Cblue = Cblue + d
return ClipColor(C)
Sat(C) = max(Cred, Cgreen, Cblue) - min(Cred, Cgreen, Cblue)
The subscripts min, mid, and max in the next function refer to the color
components having the minimum, middle, and maximum values upon entry to the function.
SetSat(C, s)
if(Cmax > Cmin)
Cmid = (((Cmid - Cmin) x s) / (Cmax - Cmin))
Cmax = s
else
Cmid = Cmax = 0
Cmin = 0
return C;
6.2.1. ‘hue’ blend mode
Creates a color with the hue of the source color and the saturation and
luminosity of the backdrop color.
B(Cb, Cs) = SetLum(SetSat(Cs, Sat(Cb)), Lum(Cb))
6.2.2. ‘saturation’ blend mode
Creates a color with the saturation of the source color and the hue and
luminosity of the backdrop color. Painting with
this mode in an area of the backdrop that is a
pure gray (no saturation) produces no change.
B(Cb, Cs) = SetLum(SetSat(Cb, Sat(Cs)), Lum(Cb))
6.2.3. ‘color’ blend mode
Creates a color with the hue and saturation of the source color and the
luminosity of the backdrop color. This preserves
the gray levels of the backdrop and is useful for
coloring monochrome images or tinting color images.
B(Cb, Cs) = SetLum(Cs, Lum(Cb))
6.2.4. ‘luminosity’ blend mode
Creates a color with the luminosity of the source color and the hue and
saturation of the backdrop color. This produces an
inverse effect to that of the Color mode.
B(Cb, Cs) = SetLum(Cb, Lum(Cs))
6.3. Effect of group
isolation on blending
In the following example, the elements used to construct the paper
aeroplane are within a group. Each of these elements has the blend-mode property set to multiply.
The aeroplane on the left is a normal group, the aeroplane on the right is
an isolated group.
In the isolated group, the elements within the group are composited onto
an empty initial backdrop, this stops the elements within the group
multiplying with the backdrop.
In the normal group, the elements within the group are composited onto the
initial backdrop containing the land and sky. Therefore the elements of
the aeroplane multiply with the land and sky.
In both instances, the result of the group composite is composited onto
the land and sky using the normal blend-mode (the default blend-mode
applied to the group).
7. Specifying
Compositing and Blending in CSS
7.1. Behavior
specific to CSS
If an element specifies non-default blending, compositing or ‘opacity’, its transform-style
and that of all of its children will revert to ‘flat’.
The application of non-default blending or compositing to an element
formatted with the CSS box model also establishes a stacking context the
same way that CSS ‘opacity’ does. One of the consequences is that
elements with z-index will not honor the depth of elements outside of the
group.
Everything in CSS that creates a stacking context is
considered a group. HTML elements themselves do not create groups.
If content uses CSS filters, they will be applied before blending and
compositing.
7.2. Behavior
specific to SVG
In SVG, every element will create a group.
Most implementations can optimize this by not treating elements with
default arguments as groups.
The compositing model follows the SVG
compositing model: first any filter effect is applied, then any
clipping, masking, blending and compositing
7.3. Properties
7.3.1. The ‘alpha-compositing’
property
Defines the compositing mode used when compositing an element onto a
page or group.
This behavior is described in more detail in Advanced compositing features.
The description of the ‘alpha-compositing’ property is as follows:
All elements. In SVG, it applies to svg, g, use, image, path,
rect, circle, ellipse, line, polyline, polygon, text, tspan, and
marker.
Inherited:
no
Percentages:
N/A
Media:
visual
Animatable:
no
Elements will always composite with ‘clip-to-self’ set to ‘true’.
7.3.2. The ‘blend-mode’
property
Defines the blend mode used when compositing an element onto the page.
The blend mode defines the formula used to mix colors when shapes
overlap.
This behavior is described in more detail in Blending.
All elements. In SVG, it applies to svg, g, use, image, path,
rect, circle, ellipse, line, polyline, polygon, text, tspan, and
marker.
Inherited:
no
Percentages:
N/A
Media:
visual
Animatable:
no
7.3.3. The ‘isolation’
property
Defines whether a group is isolated or not.
When a group is isolated, the group's elements will not look at content
outside that group when calculating the backdrop.
The default behavior is for groups to be non-isolated.
This behavior is described in more detail in Isolated Gropus.
‘isolation’
Value:
accumulate | isolate
Initial:
accumulate
Applies to:
All HTML elements. In SVG, it applies to all container elements
except ‘mask’
Inherited:
yes
Percentages:
N/A
Media:
visual
Animatable:
no
In CSS, the ‘isolation’ property of an
<img> or a background image is always ‘isolate’. For instance, if you link to an SVG file
through the ‘img’ tag, the content of that
SVG will not blend with its backdrop.
Defines whether a group is a knock-out group.
When a group is set to ‘knock-out’, the
elements within the group only composite and blend with elements outside
that group. This effectively ‘knocks out’ any
element from within the group that is already drawn. The end result is as
if every shape composites with a ‘clear’
operation (with clip-to-self enabled) first before it blends and
composites.
When ‘knock-out’ is set to ‘preserve’, the group is not a knock-out group and
its elements composite normally.
The behavior of this keyword is described in more detail in Knockout Groups.
‘knock-out’
Value:
preserve | knock-out
Initial:
preserve
Applies to:
All HTML elements. In SVG, it applies to all container elements
except ‘mask’
Inherited:
yes
Percentages:
N/A
Media:
visual
Animatable:
no
7.4. Specifying
blending and compositing in the element background
An author might want to specify the blending of multiple backgrounds of
an element. The background compositing and blending is always treated as
an isolated group.
7.4.1. The
‘background-alpha-compositing’ property
The description of the ‘background-alpha-compositing’ property is
as follows:
It is important that the timing to the blending and compositing
operations is independant of the source and destination pixel. In other
words, operations should be implemented in such a way that they always
take the same amount of time regardless of the pixel values.
If this rule is not followed, an attacker could mount a timing attack.
A timing attack is a method of obtaining information about content that
is otherwise protected, based on studying the amount of time it takes for
an operation to occur.If, for example, red pixels took longer to draw than
green pixels, one might be able to reconstruct a rough image of the
element being rendered, even without ever having access to the content of
the element.
Document Schema Definition Languages (DSDL) — Part 4:
Namespace-based Validation Dispatching Language — NVDL. ISO/IEC FCD
19757-4, See http://www.asahi-net.or.jp/~eb2m-mrt/dsdl/
[PORTERDUFF]
Compositing Digital Images, T. Porter, T. Duff,
SIGGRAPH ‘84 Conference Proceedings, Association for
Computing Machinery, Volume 18, Number 3, July 1984.
