Method and apparatus for determining an antialiased intensity of a component of a pixel from a two-dimensional adaptively distance field
A distance field and anti-aliasing technology, applied in the field of rendering of two-dimensional objects, can solve the problems of real-time rendering requirements of dynamic fonts, poor results, etc.
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[0042] Glyph distance field representation
[0043] Our invention represents a closed two-dimensional shape S—such as a glyph, a corporate logo, or any digital representation of an object—as a two-dimensional signed distance field D. For our illustrative purposes, we resort to glyphs.
[0044] In layman's terms, the distance field of a glyph measures the shortest distance from any point in the field to the edge of the glyph. If the point is outside the glyph, the sign of the distance is negative, and if the point is outside the glyph, the sign of the distance is negative. If the point is within the glyph, the sign of the distance is positive. The distance between the points on the edge is zero.
[0045] Formally speaking, the distance field acts on all p ∈ R 2 A kind of mapping D: R 2 →R, so that D(p)=sign(p)·min{‖pq‖: For all points q on the zero isosurface, that is, the edge of S}, sign(p)={-1, if p Outside S; +1, if p is inside S}, and ‖·‖ is the Euclidean norm.
[0046] The pr...
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