1. Source code download

=> NormalLines.zip, ShortestNormalLines.zip

Figure1 Normal lines from a point to curves(NormalLines) The normal Lines to a curve from a point are generally multiple, so we distinguish the lines by their colors such as red, magenta, green and so on.

Figure2 Shotest normal lines from a point to curves(ShortestNormalLines) The calculation of the shortest noramal line to a curve from a point is equal to that of the closest point on the curve from the point.

: Similar test => DrawTop test command

	Operation video
	GeometricTest

The methods to calculate the normal lines from a given point to a curve are Curve2DUtil.getNormalLines and Curve2DUtil.getShortestNormalLine.
These methods are used for shape selection operation with clicking the mouse, so the processing speed is important for real-time operation. Of course, the reliability is also important.

public static CurvePT[] getNormalLines(Point2D point, Curve2D curve)
Parameters:

point - The given point.
curve - The Curve2D object of the (parametric) curve.

Returns:

The array of the CurvePT objects representing the points on the curve. If the normal lines to the curve are found, the getNormalLines method returns the array of the points (stored in the CurvePT objects) which are the endpoints of the lines and lying on the curve, otherwise retunets the array of 0-length

Class	Description
NormalLines	public class NormalLines extends JFrame Creates and assembles the objects of the Jframe, JScrollPane, JViewport and the Panel.
NormalLinesPanel	public class NormalLinesPanel extends JPanel Draws curves and normal lines on this panel.
TestCase	public class TestCase => TestCase of the RegionHitTest.
TestCurve	public class TestCurve => TestCurve of the RegionHitTest.
Parametric Curves	Segment2D, Curve2D, Rectangle2DE, RoundRectangle2DE, Ellipse2DE, Line2DE, Polyline2DE, CubicCurve2DE, GeneralCurve2DE, FergusonCurve2D
Geometric Library	Curve2DUtil.getNormalLines, Curve2DUtil.getShortestNormalLine, CurvePT, Matrix, Matrix2D

Class	Description
ShortestNormalLines	public class ShortestNormalLines extends JFrame Creates and assembles the objects of the Jframe, JScrollPane, JViewport and the Panel.
ShortestNormalLinesPanel	public class ShortestNormalLinesPanel extends JPanel Draws curves and normal lines on this panel.
TestCase	public class TestCase => TestCase of the RegionHitTest.
TestCurve	public class TestCurve => TestCurve of the RegionHitTest.
Parametric Curves	The same as NormalLines.
Geometric Library	The same as NormalLines.