Drawing closed curves in .NET

Creator Code-128 in .NET Drawing closed curves
Listing 316 Drawing closed curves
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private void Form1_Paint(object sender, SystemWindowsFormsPaintEventArgs e) { // Create a pen Pen bluePen = new Pen(ColorBlue, 1); // Create an array of points PointF pt1 = new PointF( 400F, 500F); PointF pt2 = new PointF(500F, 750F); PointF pt3 = new PointF(1000F, 1150F); PointF pt4 = new PointF(2000F, 1800F); PointF pt5 = new PointF(2000F, 900F);
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PointF[] ptsArray = { pt1, pt2, pt3, pt4, pt5 }; // Draw curve eGraphicsDrawClosedCurve(bluePen, ptsArray); // Dispose of object bluePenDispose(); } Figure 323 shows the output from Listing 316 The result is a closed curve
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Figure 323 Drawing a closed curve
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The second form of DrawClosedCurve takes as arguments the tension of the curve andFillMode We have already discussed tensionFillMode specifies how the interior of a closed path is filled and clipped The FillMode enumeration represents the fill mode of graphics objects It has two modes: Alternate (the default mode) and Winding As the documentation says,
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To determine the interiors of a closed curve in the Alternate mode, draw a line from any arbitrary start point in the path to some point obviously outside the path If the line crosses an odd number of path segments, the starting point is inside the closed region and is therefore part of the fill or clipping area An even number of crossings means that the point is not in an area to be filled or clipped An open figure is filled or clipped by using a line to connect the last point to the first point of the figure The Winding mode considers the direction of the path segments at each intersection It adds one for every clockwise intersection, and subtracts one for every counterclockwise intersection If the result is nonzero, the point is considered inside the fill or clip area A zero count means that the point lies outside the fill or clip area
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We will clarify these definitions with examples in the discussion of paths in 9
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Listing 317 uses DrawClosedCurve to draw a closed curve with a tension and fill mode
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Listing 317 Drawing a closed curve with a tension and fill mode
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// Draw curve float tension = 05F; eGraphicsDrawClosedCurve(bluePen, ptsArray, tension, FillModeAlternate);
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32111 Drawing B zier Curves
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The B zier curve, developed by Pierre B zier in the 1960s for CAD/CAM operations, has become one of the most used curves in drawing A B zier curve is defined by four points: two endpoints and two control points Figure 324 shows an example of a B zier curve in which A and B are the starting and ending points and C and D are two control points
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Figure 324 A B zier curve
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The Graphics class provides the DrawBezier and DrawBeziers methods for drawing B zier curves DrawBezier draws a B zier curve defined by four points: the starting point, two control points, and the ending point of the curve The following example draws a B zier curve with starting point (30, 20), ending point (140, 50), and control points (80, 60) and (120, 18)
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eGraphicsDrawBezier(bluePen, 30, 20, 80, 60, 120, 180, 140, 50); DrawBeziers draws a series of B zier curves from an array ofPoint structures To draw multiple beziers, you need 3 + 1 points, where x is the x number of B zier segments Listing 318 draws B zier curves using bothDrawBezier and DrawBeziers
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Listing 318 Drawing B zier curves
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private void Form1_Paint(object sender, SystemWindowsFormsPaintEventArgs e) { Graphics g = eGraphics ; // Create pens Pen bluePen = new Pen(ColorBlue, 1); Pen redPen = new Pen(ColorRed, 1); // Create points for curve PointF p1 = new PointF(400F, 500F); PointF p2 = new PointF(600F, 700F); PointF p3 = new PointF(800F, 340F); PointF p4 = new PointF(1200F, 1800F); PointF p5 = new PointF(2000F, 1500F); PointF p6 = new PointF(3500F, 2500F); PointF p7 = new PointF(2000F, 2000F); PointF[] ptsArray = { p1, p2, p3, p4, p5, p6, p7 }; // Draw a B zier eGraphicsDrawBezier(bluePen, 30, 20, 80, 60, 120, 180, 140, 50); // Draw B ziers eGraphicsDrawBeziers(redPen, ptsArray); // Dispose of objects redPenDispose(); bluePenDispose(); } Figure 325 shows the output from Listing 318
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