FilledCurve

FilledCurve[{segment₁,segment₂,…}]

represents a filled curve consisting of segment₁ followed by segment₂ etc.

FilledCurve[{component₁,component₂,…}]

represents a list of separate filled component curves component₁, component₂, etc.

Details and Options

FilledCurve can be used in Graphics (two-dimensional graphics).
FilledCurve[segment] is equivalent to FilledCurve[{segment}].
Possible forms of segment_i include:
Line[{pt₁,pt₂,…}] lines

BezierCurve[{pt₁,pt₂,…},…] Bézier curve

BSplineCurve[{pt₁,pt₂,…},…] B-spline curve
The first point on segment_i is taken to be the last point on segment_i-1. FilledCurve[{pr₁[{p₁,…,p_i}],pr₂[{q₁,…,q_j}],…}] is equivalent to FilledCurve[{pr₁[{p₁,…,p_i}],pr₂[{p_i,q₁,…,q_j}],…}].
Filled curves can be non-convex and intersect themselves. Self-intersecting curves are filled according to an even-odd rule that alternates between filling and not at each crossing.
FilledCurve[{component₁,component₂,…}] treats each component curve as a separate closed curve, but the filling behavior is determined as if they were part of the same curve.
The coordinates can be specified using:

	{x,y}	ordinary coordinates
	Scaled[{x,y}]	scaled coordinates
	ImageScaled[{x,y}]	image scaled coordinates
	Offset[{dx,dy},{x,y}]	absolute offset coordinates

Individual coordinates and lists of coordinates in segments can be Dynamic objects.
FaceForm and EdgeForm can be used to specify how the interiors and boundaries should be rendered.
Edge thickness can be specified using Thickness or AbsoluteThickness, as well as Thick, Thin, etc. in EdgeForm.
Edge dashing can be specified using Dashing or AbsoluteDashing, as well as Dashed, Dotted, etc. in EdgeForm; for FilledCurve the dashing will be computed across all segments for each component curve.
Edge coloring and transparency can be specified using CMYKColor, GrayLevel, Hue, Opacity, or RGBColor in EdgeForm.
Joining of curve segments can be specified using JoinForm.
Face coloring and transparency can be specified using CMYKColor, GrayLevel, Hue, Opacity, or RGBColor in FaceForm.
A texture can be applied using Texture and will be mapped to the curve using the VertexTextureCoordinates option specified for the curve.
VertexColors and VertexNormals options to Line will have no effect within a FilledCurve construct.

Examples

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Basic Examples (4)

Filled curve from a Bézier segment:

Filled curve with mixed curve segments:

Filled curve with a hole:

Self-intersecting filled curve:

Differently styled filled curves:

Texture-mapped filled curve:

Scope (9)

Curve Specification (3)

Filled curve with a single line segment:

Filled curve with a single Bézier curve segment:

Filled curve with a single B-spline curve segment:

Filled curve with mixed curve segments:

Filled curve with a hole:

Filled curve with multiple holes:

Filled curve with multiple components:

Filled curve with self-intersections:

Curve Styling (3)

Color directives specify the face colors of filled curves:

FaceForm and EdgeForm can be used to specify the styles of the interiors and boundaries:

JoinForm can be used to specify the type of joins of boundaries:

Coordinate Specification (3)

Use Scaled coordinates:

Use ImageScaled coordinates:

Use Offset coordinates:

Generalizations & Extensions (2)

Each curve segment can have its own options for fine control:

By default, a Bézier segment will be attached without considering the tangent at the joining:

Automatic can be used in the first coordinate of a Bézier segment to create a smooth joint:

Options (2)

VertexTextureCoordinates (2)

Texture mapping with a filled Bézier curve:

Texture mapping mapped to multiple component curves:

Applications (5)

Graphics, Glyphs, etc. (2)

Define a letter with a filled curve:

Extract a filled curve from a graphic:

Rotate the glyph around the origin:

Text Effects (1)

Import text as a filled curve in graphics, using PDF as an intermediate format:

Outline fonts using different edge and face forms:

Cast the shadow by translation:

3D text effect:

Text Banner (1)

Import text as a filled curve:

Create envelope functions of banners using BSplineFunction:

Define a function to rescale coordinates according to coordinates and envelope functions:

Deform the filled curves by replacing coordinates:

Display:

Tessellation (1)

Create a curved edge of a tile:

Rotate it by 120° to get additional edges:

Make a single tile with Bézier curve edges using a filled curve:

Tile the plane by rotating and translating it:

Use line edges instead:

Properties & Relations (1)

By default, each component of a filled curve closes itself by adding a line segment at the end:

On the contrary, JoinedCurve does not close the component by default:

Use the CurveClosed option to close the components in a curve:

Possible Issues (1)

VertexColors options specified within segments are ignored:

Neat Examples (2)

Random filled curves:

Waving text banner:

Top

	Line[{pt₁,pt₂,…}]	lines
	BezierCurve[{pt₁,pt₂,…},…]	Bézier curve
	BSplineCurve[{pt₁,pt₂,…},…]	B-spline curve