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authorSven Göthel <[email protected]>2024-02-13 23:03:01 +0100
committerSven Göthel <[email protected]>2024-02-13 23:03:01 +0100
commit949676fb8cac4d6aa626a375501e41a65a1a11fa (patch)
treed472a4bbc06e9f019db7d3e5964feb780426110f /src/oculusvr
parent08f0d34424aab6a496a71fa5d83af6c407c7c569 (diff)
Bug 1501: Apply intersection tests for non-convex shapes to reject new CCW and non-circulcircle triangulation candidates in our Delaunay tessellator
<https://jogamp.org/bugzilla//show_bug.cgi?id=1501#c6> The used Delaunay tessellation works well with (almost) convex shapes. In case e.g. a glyph gets to the extremes like 'M' in FreeMono or any other complex Chinese symbol - it may just simply happen that the new non-circumcircle triangle point crosses the inner (hope) or outer boundaries of the given polygon. Applying further constraint at Loop.cut() resolves most cases by rejecting the proposed CCW and non-circumcircle triangle candidate if its new two line-segments intersects with the original polygon. This results in mostly proper rendered Chinese fonts and also FreeMono is now readable - overal remaining bugs in Glyphs is low. +++ Of course, this intersection test is costly around >= O(log(n)*n) costs, practically adding a measured ~65% processing time. E.g. for FontView01 using FreeSerif.ttf - orig total took 1430.817638ms, per-glyph 0.2236ms, glyphs 6399 - fix total took 2377.337359ms, per-glyph 0.371517ms, glyphs 6399 Pure Glyph/Shape instantiation shows > 2x costs: 750 ms 100% convex (fake) 1875 ms 0% convex (fake) 1870 ms 13% convex 824/6399 +++ Hence it is desired to either (1) Manually mark a polygon non-convex to add described intersection test for accuracy. Also may be used to just drop the additional costs despite the lack of correctness. PROVIDED (2) Determine non-convex nature of a polygon with a and overall less expensive algorithm. If considerably cheaper, this could reduce O(log(n) * n) -> O(n) or even O(log n). Added convex/non-convex classification while ignoring off-curve points, but only ~13% of FreeSerif is pure convex, hence there is no benefit with this classification type. It might be desired to attempt other classes, i.e. being rendered in non-convex mode w/o intersection tests. See - GENERALIZED DELAUNAY TRIANGULATIONS OF NON-CONVEX DOMAINS https://deepblue.lib.umich.edu/bitstream/handle/2027.42/28782/0000614.pdf;sequence=1 - https://en.wikipedia.org/wiki/List_of_self-intersecting_polygons - https://en.wikipedia.org/wiki/Complex_polygon
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