| TerraLib 4.1

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Functions
Functions used to deal with smooth curves
Geometry algorithms

## Functions

TL_DLL bool | TeGetCenter (TePoint p1, TePoint p2, TePoint p3, TePoint &center)
| Given three points of a circunference, returns its center point.
TL_DLL double | TeGetRadius (TePoint &p1, TePoint &p2, TePoint &p3)
| Given three points of a circunference, returns the radius.
TL_DLL bool | TeGenerateArc (TePoint &p1, TePoint &p2, TePoint &p3, TeLine2D &arcOut, const short &NPoints)
| Given three points returns a smooth arc as a TeLine2D that contains a given total number of points.
TL_DLL bool | TeGenerateCircle (const TePoint &center, const double &radius, TeLine2D &circle, const short &NPoints)
| Given a center point and a radius, returns the circle as a TeLine2D interpolated by a given number of points.
TL_DLL bool | TeLineSimplify (TeLine2D &line, double snap, double maxdist)
| Performs a line simplication.
TL_DLL bool | TeAdjustSegment (TeCoord2D P0, TeCoord2D P1, double d0, TeCoord2D &P0out, TeCoord2D &P1out)
| Adjust Segment to specific distance.
TL_DLL bool | TeFindCentroid (const TeLine2D &line, TeCoord2D &p)
| Get middle line Method like find Centroid but this method calculate the correct middle point.

## Function Documentation

TL_DLL bool TeAdjustSegment | ( | TeCoord2D | P0,
|  | TeCoord2D | P1,
|  | double | d0,
|  | TeCoord2D & | P0out,
|  | TeCoord2D & | P1out
| ) |  |

Adjust Segment to specific distance.

Parameters:

  P0 | first coordinate
  P1 | second coordinate
  d0 | distance value to adjust
  P0out | first coordinate adjusted
  P1out | second coordinate adjusted

Returns:
  returns true whether possible adjust segment

TL_DLL bool TeFindCentroid | ( | const TeLine2D & | line,
|  | TeCoord2D & | p
| ) |  |

Get middle line Method like find Centroid but this method calculate the correct middle point.

Parameters:

  line | The Line to calculate the middle point
  p | middle point

Returns:
  returns true case possible calculate the middle line

TL_DLL bool TeGenerateArc | ( | TePoint & | p1,
|  | TePoint & | p2,
|  | TePoint & | p3,
|  | TeLine2D & | arcOut,
|  | const short & | NPoints
| ) |  |

Given three points returns a smooth arc as a TeLine2D that contains a given total number of points.

Parameters:

  p1 | First point.
  p2 | Second point.
  p3 | Third point.
  arcOut | The return arc.
  NPoints | Number of arc points.

This algorithm is adapted from http://mathforum.org/dr.math/

TL_DLL bool TeGenerateCircle | ( | const TePoint & | center,
|  | const double & | radius,
|  | TeLine2D & | circle,
|  | const short & | NPoints
| ) |  |

Given a center point and a radius, returns the circle as a TeLine2D interpolated by a given number of points.

Parameters:

  center | Center point of the circle.
  radius | radius of the circle.
  circle | The return circle
  NPoints | Number of circle points.

TL_DLL bool TeGetCenter | ( | TePoint | p1,
|  | TePoint | p2,
|  | TePoint | p3,
|  | TePoint & | center
| ) |  |

Given three points of a circunference, returns its center point.

Parameters:

  p1 | First point.
  p2 | Second point.
  p3 | Third point.
  center | Circunference center. This algorithm is adapted from http://www.delphiforfun.org/Programs/Math_Topics/circle_from_3_points.htmbook.

TL_DLL double TeGetRadius | ( | TePoint & | p1,
|  | TePoint & | p2,
|  | TePoint & | p3
| ) |  |

Given three points of a circunference, returns the radius.

Parameters:

  p1 | First point.
  p2 | Second point.
  p3 | Third point. This algorithm is adapted from http://www.delphiforfun.org/Programs/Math_Topics/circle_from_3_points.htmbook.

TL_DLL bool TeLineSimplify | ( | TeLine2D & | line,
|  | double | snap,
|  | double | maxdist
| ) |  |

Performs a line simplication.

Parameters:

  line | The line to be simplified
  snap | Simplification threshold
  maxdist | The maximum distance between intermediary segments

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