Package icyllis.arc3d.engine.tessellate

Class WangsFormula

java.lang.Object

icyllis.arc3d.engine.tessellate.WangsFormula

public class WangsFormula
extends Object

Wang's formula specifies a depth D to which it is sufficient to subdivide a given degree N Bézier curve in order to ensure that the control points of each new segment lie on a straight line to within some pre-specified tolerance EPS:

  M = max([length( p[i+2] - 2p[i+1] + p[i] ) for (0 ≤ i ≤ n-2)])
  D = log4( N*(N-1)*M / (8*EPS) )
 

Wang, Guo-Zhao (1984), The subdivision method for finding the intersection between two Bézier curves or surfaces, Zhejiang University Journal.

Constructor Summary

Constructors

Modifier	Constructor	Description
protected	WangsFormula()

Method Summary

Modifier and Type	Method	Description
static float	cubic(float precision, float x0, float y0, float x1, float y1, float x2, float y2, float x3, float y3)
static int	cubic_log2(float precision, float x0, float y0, float x1, float y1, float x2, float y2, float x3, float y3)
static float	cubic_p4(float precision, float x0, float y0, float x1, float y1, float x2, float y2, float x3, float y3)
static float	quadratic(float precision, float x0, float y0, float x1, float y1, float x2, float y2)
static int	quadratic_log2(float precision, float x0, float y0, float x1, float y1, float x2, float y2)
static float	quadratic_p4(float precision, float x0, float y0, float x1, float y1, float x2, float y2)
static float	worst_cubic(float precision, float devWidth, float devHeight)
static int	worst_cubic_log2(float precision, float devWidth, float devHeight)
static float	worst_cubic_p4(float precision, float devWidth, float devHeight)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

WangsFormula

protected WangsFormula()

Method Details

quadratic_p4

public static float quadratic_p4(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2)

quadratic

public static float quadratic(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2)

quadratic_log2

public static int quadratic_log2(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2)

cubic_p4

public static float cubic_p4(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2,
 float x3,
 float y3)

cubic

public static float cubic(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2,
 float x3,
 float y3)

cubic_log2

public static int cubic_log2(float precision,
 float x0,
 float y0,
 float x1,
 float y1,
 float x2,
 float y2,
 float x3,
 float y3)

worst_cubic_p4

public static float worst_cubic_p4(float precision,
 float devWidth,
 float devHeight)

worst_cubic

public static float worst_cubic(float precision,
 float devWidth,
 float devHeight)

worst_cubic_log2

public static int worst_cubic_log2(float precision,
 float devWidth,
 float devHeight)