Commit 71f53e122b83cbe3033f47a2f283d207492c87b0

Werner Lemberg 2014-04-05T16:27:19

[autofit] Improve scoring algorithm for identifying stems. Problem reported by Karsten Lücke <karsten.luecke@kltf.de>. The new algorithm takes care of the width of stems: If the distance between two segments is larger than the largest stem width, the demerits quickly increase for larger distances. This improves hinting of slanted fonts (especially if the inner parts of serifs have non-horizontal `shoulders'), avoiding false stem links. * src/autofit/aflatin.c (af_latin_hints_link_segments): Use largest stem width (if available) to compute better demerits for distances between stems. (af_latin_hints_detect_features): Pass stem width array and array size. (af_latin_metrics_init_widths): Updated to use original algorithm. (af_latin_hints_apply): Updated to use new algorithm. * src/autofit/aflatin.h: Updated. * src/autofit/afcjk.c: Updated.

diff --git a/ChangeLog b/ChangeLog
index 745718a..0ef12bf 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,26 @@
+2014-04-05  Werner Lemberg  <wl@gnu.org>
+
+	[autofit] Improve scoring algorithm for identifying stems.
+
+	Problem reported by Karsten Lücke <karsten.luecke@kltf.de>.
+
+	The new algorithm takes care of the width of stems: If the distance
+	between two segments is larger than the largest stem width, the
+	demerits quickly increase for larger distances.  This improves
+	hinting of slanted fonts (especially if the inner parts of serifs
+	have non-horizontal `shoulders'), avoiding false stem links.
+
+	* src/autofit/aflatin.c (af_latin_hints_link_segments): Use largest
+	stem width (if available) to compute better demerits for distances
+	between stems.
+	(af_latin_hints_detect_features): Pass stem width array and array
+	size.
+	(af_latin_metrics_init_widths): Updated to use original algorithm.
+	(af_latin_hints_apply): Updated to use new algorithm.
+
+	* src/autofit/aflatin.h: Updated.
+	* src/autofit/afcjk.c: Updated.
+
 2014-04-03  Werner Lemberg  <wl@gnu.org>
 
 	Don't require `gzip' module for `sfnt'.
diff --git a/src/autofit/afcjk.c b/src/autofit/afcjk.c
index 3a65fc5..06c94aa 100644
--- a/src/autofit/afcjk.c
+++ b/src/autofit/afcjk.c
@@ -4,7 +4,7 @@
 /*                                                                         */
 /*    Auto-fitter hinting routines for CJK writing system (body).          */
 /*                                                                         */
-/*  Copyright 2006-2013 by                                                 */
+/*  Copyright 2006-2014 by                                                 */
 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
 /*                                                                         */
 /*  This file is part of the FreeType project, and may only be used,       */
@@ -178,6 +178,8 @@
           goto Exit;
 
         af_latin_hints_link_segments( hints,
+                                      0,
+                                      NULL,
                                       (AF_Dimension)dim );
 
         seg   = axhints->segments;
diff --git a/src/autofit/aflatin.c b/src/autofit/aflatin.c
index 266bfe2..6201c8e 100644
--- a/src/autofit/aflatin.c
+++ b/src/autofit/aflatin.c
@@ -171,7 +171,15 @@
         if ( error )
           goto Exit;
 
+        /*
+         *  We assume that the glyphs selected for the stem width
+         *  computation are `featureless' enough so that the linking
+         *  algorithm works fine without adjustments of its scoring
+         *  function.
+         */
         af_latin_hints_link_segments( hints,
+                                      0,
+                                      NULL,
                                       (AF_Dimension)dim );
 
         seg   = axhints->segments;
@@ -1338,19 +1346,28 @@
   }
 
 
-  /* Link segments to form stems and serifs. */
+  /* Link segments to form stems and serifs.  If `width_count' and      */
+  /* `widths' are non-zero, use them to fine-tune the scoring function. */
 
   FT_LOCAL_DEF( void )
   af_latin_hints_link_segments( AF_GlyphHints  hints,
+                                FT_UInt        width_count,
+                                AF_WidthRec*   widths,
                                 AF_Dimension   dim )
   {
     AF_AxisHints  axis          = &hints->axis[dim];
     AF_Segment    segments      = axis->segments;
     AF_Segment    segment_limit = segments + axis->num_segments;
-    FT_Pos        len_threshold, len_score;
+    FT_Pos        len_threshold, len_score, dist_score, max_width;
     AF_Segment    seg1, seg2;
 
 
+    if ( width_count )
+      max_width = widths[width_count - 1].org;
+    else
+      max_width = 0;
+
+    /* a heuristic value to set up a minimum value for overlapping */
     len_threshold = AF_LATIN_CONSTANT( hints->metrics, 8 );
     if ( len_threshold == 0 )
       len_threshold = 1;
@@ -1358,6 +1375,11 @@
     /* a heuristic value to weight lengths */
     len_score = AF_LATIN_CONSTANT( hints->metrics, 6000 );
 
+    /* a heuristic value to weight distances (no call to    */
+    /* AF_LATIN_CONSTANT needed, since we work on multiples */
+    /* of the stem width)                                   */
+    dist_score = 3000;
+
     /* now compare each segment to the others */
     for ( seg1 = segments; seg1 < segment_limit; seg1++ )
     {
@@ -1377,10 +1399,9 @@
         if ( seg1->dir + seg2->dir == 0 && pos2 > pos1 )
         {
           /* compute distance between the two segments */
-          FT_Pos  dist = pos2 - pos1;
-          FT_Pos  min  = seg1->min_coord;
-          FT_Pos  max  = seg1->max_coord;
-          FT_Pos  len, score;
+          FT_Pos  min = seg1->min_coord;
+          FT_Pos  max = seg1->max_coord;
+          FT_Pos  len;
 
 
           if ( min < seg2->min_coord )
@@ -1394,12 +1415,43 @@
           len = max - min;
           if ( len >= len_threshold )
           {
-            /* the score is the sum of two values indicating the       */
-            /* `quality' of a fit, measured along the segments' main   */
-            /* axis (`len_score / len') and orthogonal to it (`dist'): */
-            /* smaller overlappings cause a higher score, and segments */
-            /* with a greater distance cause a higher score also       */
-            score = dist + len_score / len;
+            /*
+             *  The score is the sum of two demerits indicating the
+             *  `badness' of a fit, measured along the segments' main axis
+             *  and orthogonal to it, respectively.
+             *
+             *  o The less overlapping along the main axis, the worse it
+             *    is, causing a larger demerit.
+             *
+             *  o The nearer the orthogonal distance to a stem width, the
+             *    better it is, causing a smaller demerit.  For simplicity,
+             *    however, we only increase the demerit for values that
+             *    exceed the largest stem width.
+             */
+
+            FT_Pos  dist = pos2 - pos1;
+
+            FT_Pos  dist_demerit, score;
+
+
+            if ( max_width )
+            {
+              /* distance demerits are based on multiples of `max_width'; */
+              /* we scale by 1024 for getting more precision              */
+              FT_Pos  delta = ( dist << 10 ) / max_width - ( 1 << 10 );
+
+
+              if ( delta > 10000 )
+                dist_demerit = 32000;
+              else if ( delta > 0 )
+                dist_demerit = delta * delta / dist_score;
+              else
+                dist_demerit = 0;
+            }
+            else
+              dist_demerit = dist; /* default if no widths available */
+
+            score = dist_demerit + len_score / len;
 
             /* and we search for the smallest score */
             if ( score < seg1->score )
@@ -1733,6 +1785,8 @@
 
   FT_LOCAL_DEF( FT_Error )
   af_latin_hints_detect_features( AF_GlyphHints  hints,
+                                  FT_UInt        width_count,
+                                  AF_WidthRec*   widths,
                                   AF_Dimension   dim )
   {
     FT_Error  error;
@@ -1741,7 +1795,7 @@
     error = af_latin_hints_compute_segments( hints, dim );
     if ( !error )
     {
-      af_latin_hints_link_segments( hints, dim );
+      af_latin_hints_link_segments( hints, width_count, widths, dim );
 
       error = af_latin_hints_compute_edges( hints, dim );
     }
@@ -2694,6 +2748,8 @@
     FT_Error  error;
     int       dim;
 
+    AF_LatinAxis  axis;
+
 
     error = af_glyph_hints_reload( hints, outline );
     if ( error )
@@ -2707,14 +2763,22 @@
     if ( AF_HINTS_DO_HORIZONTAL( hints ) )
 #endif
     {
-      error = af_latin_hints_detect_features( hints, AF_DIMENSION_HORZ );
+      axis  = &metrics->axis[AF_DIMENSION_HORZ];
+      error = af_latin_hints_detect_features( hints,
+                                              axis->width_count,
+                                              axis->widths,
+                                              AF_DIMENSION_HORZ );
       if ( error )
         goto Exit;
     }
 
     if ( AF_HINTS_DO_VERTICAL( hints ) )
     {
-      error = af_latin_hints_detect_features( hints, AF_DIMENSION_VERT );
+      axis  = &metrics->axis[AF_DIMENSION_VERT];
+      error = af_latin_hints_detect_features( hints,
+                                              axis->width_count,
+                                              axis->widths,
+                                              AF_DIMENSION_VERT );
       if ( error )
         goto Exit;
 
diff --git a/src/autofit/aflatin.h b/src/autofit/aflatin.h
index a958af3..0f62186 100644
--- a/src/autofit/aflatin.h
+++ b/src/autofit/aflatin.h
@@ -5,7 +5,7 @@
 /*    Auto-fitter hinting routines for latin writing system                */
 /*    (specification).                                                     */
 /*                                                                         */
-/*  Copyright 2003-2007, 2009, 2011-2013 by                                */
+/*  Copyright 2003-2007, 2009, 2011-2014 by                                */
 /*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
 /*                                                                         */
 /*  This file is part of the FreeType project, and may only be used,       */
@@ -169,6 +169,8 @@ FT_BEGIN_HEADER
 
   FT_LOCAL( void )
   af_latin_hints_link_segments( AF_GlyphHints  hints,
+                                FT_UInt        width_count,
+                                AF_WidthRec*   widths,
                                 AF_Dimension   dim );
 
   FT_LOCAL( FT_Error )
@@ -177,6 +179,8 @@ FT_BEGIN_HEADER
 
   FT_LOCAL( FT_Error )
   af_latin_hints_detect_features( AF_GlyphHints  hints,
+                                  FT_UInt        width_count,
+                                  AF_WidthRec*   widths,
                                   AF_Dimension   dim );
 
 /* */