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-rw-r--r--scripts/lib/fontbuild/italics.py59
1 files changed, 39 insertions, 20 deletions
diff --git a/scripts/lib/fontbuild/italics.py b/scripts/lib/fontbuild/italics.py
index c889bd5..51d1f96 100644
--- a/scripts/lib/fontbuild/italics.py
+++ b/scripts/lib/fontbuild/italics.py
@@ -13,12 +13,18 @@
# limitations under the License.
+import math
+
from fontTools.misc.transform import Transform
-from robofab.world import RFont
-from time import clock
import numpy as np
-import math
-from alignpoints import alignCorners
+from numpy.linalg import norm
+from scipy.sparse.linalg import cg
+from scipy.ndimage.filters import gaussian_filter1d as gaussian
+from scipy.cluster.vq import vq, whiten
+
+from fontbuild.alignpoints import alignCorners
+from fontbuild.curveFitPen import fitGlyph, segmentGlyph
+
def italicizeGlyph(f, g, angle=10, stemWidth=185):
unic = g.unicode #save unicode
@@ -33,11 +39,11 @@ def italicizeGlyph(f, g, angle=10, stemWidth=185):
m = Transform(1, 0, slope, 1, 0, 0)
xoffset, junk = m.transformPoint((0, MEAN_YCENTER))
m = Transform(.97, 0, slope, 1, xoffset, 0)
-
+
if len(glyph) > 0:
g2 = italicize(f[g.name], angle, xoffset=xoffset, stemWidth=stemWidth)
f.insertGlyph(g2, g.name)
-
+
transformFLGlyphMembers(f[g.name], m)
if unic > 0xFFFF: #restore unicode
@@ -47,18 +53,20 @@ def italicizeGlyph(f, g, angle=10, stemWidth=185):
def italicize(glyph, angle=12, stemWidth=180, xoffset=-50):
CURVE_CORRECTION_WEIGHT = .03
CORNER_WEIGHT = 10
+
+ # decompose the glyph into smaller segments
ga, subsegments = segmentGlyph(glyph,25)
va, e = glyphToMesh(ga)
n = len(va)
grad = mapEdges(lambda a,(p,n): normalize(p-a), va, e)
cornerWeights = mapEdges(lambda a,(p,n): normalize(p-a).dot(normalize(a-n)), grad, e)[:,0].reshape((-1,1))
smooth = np.ones((n,1)) * CURVE_CORRECTION_WEIGHT
-
+
controlPoints = findControlPointsInMesh(glyph, va, subsegments)
smooth[controlPoints > 0] = 1
smooth[cornerWeights < .6] = CORNER_WEIGHT
# smooth[cornerWeights >= .9999] = 1
-
+
out = va.copy()
hascurves = False
for c in glyph.contours:
@@ -73,20 +81,25 @@ def italicize(glyph, angle=12, stemWidth=180, xoffset=-50):
# out = copyMeshDetails(va, out, e, 6)
else:
outCorrected = out
+
+ # create a transform for italicizing
normals = edgeNormals(out, e)
center = va + normals * stemWidth * .4
if stemWidth > 130:
center[:, 0] = va[:, 0] * .7 + center[:,0] * .3
centerSkew = skewMesh(center.dot(np.array([[.97,0],[0,1]])), angle * .9)
+
+ # apply the transform
out = outCorrected + (centerSkew - center)
out[:,1] = outCorrected[:,1]
-
+
+ # make some corrections
smooth = np.ones((n,1)) * .1
out = alignCorners(glyph, out, subsegments)
out = copyMeshDetails(skewMesh(va, angle), out, e, 7, smooth=smooth)
# grad = mapEdges(lambda a,(p,n): normalize(p-a), skewMesh(outCorrected, angle*.9), e)
# out = recompose(out, grad, e, smooth=smooth)
-
+
out = skewMesh(out, angle * .1)
out[:,0] += xoffset
# out[:,1] = outCorrected[:,1]
@@ -95,6 +108,8 @@ def italicize(glyph, angle=12, stemWidth=180, xoffset=-50):
# gOut.width *= .97
# gOut.width += 10
# return gOut
+
+ # recompose the glyph into original segments
return fitGlyph(glyph, gOut, subsegments)
@@ -111,13 +126,7 @@ def transformFLGlyphMembers(g, m, transformAnchors = True):
a.x = aa[0]
# a.x,a.y = (aa[0] - p[0], aa[1] - p[1])
# a.x = a.x - m[4]
-
-from curveFitPen import fitGlyph,segmentGlyph
-from numpy.linalg import norm
-from scipy.sparse.linalg import cg
-from scipy.ndimage.filters import gaussian_filter1d as gaussian
-from scipy.cluster.vq import vq, kmeans2, whiten
def glyphToMesh(g):
points = []
@@ -132,6 +141,7 @@ def glyphToMesh(g):
offset += len(c)
return np.array(points), edges
+
def meshToGlyph(points, g):
g1 = g.copy()
j = 0
@@ -144,6 +154,7 @@ def meshToGlyph(points, g):
j += 1
return g1
+
def quantizeGradient(grad, book=None):
if book == None:
book = np.array([(1,0),(0,1),(0,-1),(-1,0)])
@@ -153,6 +164,7 @@ def quantizeGradient(grad, book=None):
out[i] = normalize(v)
return out
+
def findControlPointsInMesh(glyph, va, subsegments):
controlPointIndices = np.zeros((len(va),1))
index = 0
@@ -166,7 +178,6 @@ def findControlPointsInMesh(glyph, va, subsegments):
return controlPointIndices
-
def recompose(v, grad, e, smooth=1, P=None, distance=None):
n = len(v)
if distance == None:
@@ -183,6 +194,7 @@ def recompose(v, grad, e, smooth=1, P=None, distance=None):
out[:,i] = cg(P, f[:,i])[0]
return out
+
def mP(v,e):
n = len(v)
M = np.zeros((n,n))
@@ -193,18 +205,21 @@ def mP(v,e):
M[i,i] = 2
return M
+
def normalize(v):
n = np.linalg.norm(v)
if n == 0:
return v
return v/n
+
def mapEdges(func,v,e,*args):
b = v.copy()
for i, edges in e.iteritems():
b[i] = func(v[i], [v[j] for j in edges], *args)
return b
+
def getNormal(a,b,c):
"Assumes TT winding direction"
p = np.roll(normalize(b - a), 1)
@@ -214,19 +229,23 @@ def getNormal(a,b,c):
# print p, n, normalize((p + n) * .5)
return normalize((p + n) * .5)
+
def edgeNormals(v,e):
"Assumes a mesh where each vertex has exactly least two edges"
return mapEdges(lambda a,(p,n) : getNormal(a,p,n),v,e)
+
def rangePrevNext(count):
c = np.arange(count,dtype=int)
r = np.vstack((c, np.roll(c, 1), np.roll(c, -1)))
return r.T
+
def skewMesh(v,angle):
slope = np.tanh([math.pi * angle / 180])
return v.dot(np.array([[1,0],[slope,1]]))
+
def labelConnected(e):
label = 0
labels = np.zeros((len(e),1))
@@ -236,6 +255,7 @@ def labelConnected(e):
label += 1
return labels
+
def copyGradDetails(a,b,e,scale=15):
n = len(a)
labels = labelConnected(e)
@@ -245,6 +265,7 @@ def copyGradDetails(a,b,e,scale=15):
out[mask,:] = gaussian(b[mask,:], scale, mode="wrap", axis=0) + a[mask,:] - gaussian(a[mask,:], scale, mode="wrap", axis=0)
return out
+
def copyMeshDetails(va,vb,e,scale=5,smooth=.01):
gradA = mapEdges(lambda a,(p,n): normalize(p-a), va, e)
gradB = mapEdges(lambda a,(p,n): normalize(p-a), vb, e)
@@ -253,8 +274,6 @@ def copyMeshDetails(va,vb,e,scale=5,smooth=.01):
return recompose(vb, grad, e, smooth=smooth)
-
-
def condenseGlyph(glyph, scale=.8, stemWidth=185):
ga, subsegments = segmentGlyph(glyph, 25)
va, e = glyphToMesh(ga)
@@ -273,7 +292,7 @@ def condenseGlyph(glyph, scale=.8, stemWidth=185):
# cornerWeights = mapEdges(lambda a,(p,n): normalize(p-a).dot(normalize(a-n)), grad, e)[:,0].reshape((-1,1))
# smooth = np.ones((n,1)) * .1
# smooth[cornerWeights < .6] = 10
- #
+ #
# grad2 = quantizeGradient(grad).astype(float)
# grad2 = copyGradDetails(grad, grad2, e, scale=10)
# grad2 = mapEdges(lambda a,e: normalize(a), grad2, e)