Method and apparatus for antialiasing a region of a two-dimensional distance field representing an object
A distance field and anti-aliasing technology, applied in the field of two-dimensional object rendering, which can solve the problems of real-time rendering limitation and poor effect of dynamic fonts
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[0041] Glyph's distance field representation
[0042] Our invention represents a closed two-dimensional shape S—such as a glyph, business logo, or any digital representation of an object—as a two-dimensional signed distance field D. For our illustration purposes, we resort to glyphs.
[0043] Informally, a glyph's distance field measures the shortest distance from any point in the field to the edge of the glyph, where the sign of the distance is negative if the point lies outside the glyph, and if the If the point lies within the glyph, the sign of the distance is positive. Points on the edge have a distance of zero.
[0044] Formally, the distance field is applied to all p ∈ R 2 A mapping D:R 2 → R, so that D(p)=sign(p) min{∥p-q‖: For all points q lying on the zero isosurface, ie the edge of S}, sign(p)={-1, if p outside S; +1 if p is inside S}, and ‖·‖ is the Euclidean norm.
[0045] Prior art coverage-based rendering methods, which use a single discrete sample to repr...
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