mitkPlanarPolygon.cpp

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/*===================================================================

The Medical Imaging Interaction Toolkit (MITK)

Copyright (c) German Cancer Research Center,
Division of Medical and Biological Informatics.
All rights reserved.

This software is distributed WITHOUT ANY WARRANTY; without
even the implied warranty of MERCHANTABILITY or FITNESS FOR
A PARTICULAR PURPOSE.

See LICENSE.txt or http://www.mitk.org for details.

===================================================================*/

#include "mitkPlanarPolygon.h"
#include "mitkPlaneGeometry.h"
#include "mitkProperties.h"

// stl related includes
#include <algorithm>

mitk::PlanarPolygon::PlanarPolygon()
  : FEATURE_ID_CIRCUMFERENCE(this->AddFeature("Circumference", "mm")), FEATURE_ID_AREA(this->AddFeature("Area", "mm2"))
{
  // Polygon has at least two control points
  this->ResetNumberOfControlPoints(2);
  this->SetNumberOfPolyLines(1);

  // Polygon is closed by default
  this->SetProperty("closed", mitk::BoolProperty::New(true));
  this->SetProperty("subdivision", mitk::BoolProperty::New(false));
}

void mitk::PlanarPolygon::SetClosed(bool closed)
{
  this->SetProperty("closed", mitk::BoolProperty::New(closed));

  if (!closed)
  {
    // For non-closed polygons: use "Length" as feature name; disable area
    this->SetFeatureName(FEATURE_ID_CIRCUMFERENCE, "Length");
    this->DeactivateFeature(FEATURE_ID_AREA);
  }
  else
  {
    // For closed polygons: use "Circumference" as feature name; enable area
    this->SetFeatureName(FEATURE_ID_CIRCUMFERENCE, "Circumference");
    this->ActivateFeature(FEATURE_ID_AREA);
  }

  this->Modified();
}

void mitk::PlanarPolygon::GeneratePolyLine()
{
  this->ClearPolyLines();

  for (ControlPointListType::size_type i = 0; i < m_ControlPoints.size(); ++i)
    this->AppendPointToPolyLine(0, this->GetControlPoint(i));
}

void mitk::PlanarPolygon::GenerateHelperPolyLine(double /*mmPerDisplayUnit*/, unsigned int /*displayHeight*/)
{
  // A polygon does not require helper objects
}

void mitk::PlanarPolygon::EvaluateFeaturesInternal()
{
  // Calculate circumference
  double circumference = 0.0;
  unsigned int i, j;

  const PolyLineType polyLine = m_PolyLines[0];

  if (polyLine.empty())
    return;

  for (i = 0; i < (polyLine.size() - 1); ++i)
  {
    circumference += static_cast<Point2D>(polyLine[i]).EuclideanDistanceTo(static_cast<Point2D>(polyLine[i + 1]));
  }

  if (this->IsClosed())
  {
    circumference += static_cast<Point2D>(polyLine[i]).EuclideanDistanceTo(static_cast<Point2D>(polyLine.front()));
  }

  this->SetQuantity(FEATURE_ID_CIRCUMFERENCE, circumference);

  // Calculate polygon area (if closed)
  double area = 0.0;
  bool intersection = false;

  if (this->IsClosed() && (this->GetPlaneGeometry() != nullptr))
  {
    // does PlanarPolygon overlap/intersect itself?
    const unsigned int numberOfPoints = polyLine.size();
    if (numberOfPoints >= 4)
    {
      for (i = 0; i < (numberOfPoints - 1); ++i)
      {
        // line 1
        const Point2D p0 = polyLine[i];
        const Point2D p1 = polyLine[i + 1];

        // check for intersection with all other lines
        for (j = i + 1; j < (numberOfPoints - 1); ++j)
        {
          const Point2D p2 = polyLine[j];
          const Point2D p3 = polyLine[j + 1];
          intersection = CheckForLineIntersection(p0, p1, p2, p3);
          if (intersection)
            break;
        }
        if (intersection)
          break; // only because the inner loop might have changed "intersection"

        // last line from p_x to p_0
        const Point2D p2 = polyLine.front();
        const Point2D p3 = polyLine.back();

        intersection = CheckForLineIntersection(p0, p1, p2, p3);
        if (intersection)
          break;
      }
    }

    // calculate area
    for (i = 0; i < polyLine.size(); ++i)
    {
      const Point2D p0 = polyLine[i];
      const Point2D p1 = polyLine[(i + 1) % polyLine.size()];

      area += p0[0] * p1[1] - p1[0] * p0[1];
    }
    area /= 2.0;
  }

  // set area if appropiate (i.e. closed and not intersected)
  if (this->IsClosed() && !intersection)
  {
    SetQuantity(FEATURE_ID_AREA, fabs(area));
    this->ActivateFeature(FEATURE_ID_AREA);
  }
  else
  {
    SetQuantity(FEATURE_ID_AREA, 0);
    this->DeactivateFeature(FEATURE_ID_AREA);
  }
}

void mitk::PlanarPolygon::PrintSelf(std::ostream &os, itk::Indent indent) const
{
  Superclass::PrintSelf(os, indent);

  if (this->IsClosed())
    os << indent << "Polygon is closed\n";
  else
    os << indent << "Polygon is not closed\n";
}

// based on
// http://flassari.is/2008/11/line-line-intersection-in-cplusplus/
bool mitk::PlanarPolygon::CheckForLineIntersection(const mitk::Point2D &p1,
                                                   const mitk::Point2D &p2,
                                                   const mitk::Point2D &p3,
                                                   const mitk::Point2D &p4,
                                                   Point2D &intersection) const
{
  // do not check for intersections with control points
  if (p1 == p2 || p1 == p3 || p1 == p4 || p2 == p3 || p2 == p4 || p3 == p4)
    return false;

  // Store the values for fast access and easy
  // equations-to-code conversion
  const double x1 = p1[0], x2 = p2[0], x3 = p3[0], x4 = p4[0];
  const double y1 = p1[1], y2 = p2[1], y3 = p3[1], y4 = p4[1];

  const double d = (x1 - x2) * (y3 - y4) - (y1 - y2) * (x3 - x4);
  // If d is zero, there is no intersection
  // if (d < mitk::eps) return false;
  if (d == 0)
    return false;

  // Get the x and y
  const double pre = (x1 * y2 - y1 * x2);
  const double post = (x3 * y4 - y3 * x4);
  const double x = (pre * (x3 - x4) - (x1 - x2) * post) / d;
  const double y = (pre * (y3 - y4) - (y1 - y2) * post) / d;

  double tolerance = 0.001;
  // Check if the x coordinates are within both lines, including tolerance
  if (x < (std::min(x1, x2) - tolerance) || x > (std::max(x1, x2) + tolerance) || x < (std::min(x3, x4) - tolerance) ||
      x > (std::max(x3, x4) + tolerance))
  {
    return false;
  }

  // Check if the y coordinates are within both lines, including tolerance
  if (y < (std::min(y1, y2) - tolerance) || y > (std::max(y1, y2) + tolerance) || y < (std::min(y3, y4) - tolerance) ||
      y > (std::max(y3, y4) + tolerance))
  {
    return false;
  }

  // point of intersection
  Point2D ret;
  ret[0] = x;
  ret[1] = y;
  intersection = ret;
  return true;
}

bool mitk::PlanarPolygon::CheckForLineIntersection(const mitk::Point2D &p1,
                                                   const mitk::Point2D &p2,
                                                   const mitk::Point2D &p3,
                                                   const mitk::Point2D &p4) const
{
  mitk::Point2D intersection;
  return mitk::PlanarPolygon::CheckForLineIntersection(p1, p2, p3, p4, intersection);
}

std::vector<mitk::Point2D> mitk::PlanarPolygon::CheckForLineIntersection(const mitk::Point2D &p1,
                                                                         const mitk::Point2D &p2) const
{
  std::vector<mitk::Point2D> intersectionList;

  ControlPointListType polyLinePoints;
  const PolyLineType tempList = m_PolyLines[0];
  for (auto iter = tempList.cbegin(); iter != tempList.cend(); ++iter)
  {
    polyLinePoints.push_back(*iter);
  }

  for (ControlPointListType::size_type i = 0; i < polyLinePoints.size() - 1; i++)
  {
    const mitk::Point2D pnt1 = polyLinePoints[i];
    const mitk::Point2D pnt2 = polyLinePoints[i + 1];
    mitk::Point2D intersection;

    if (mitk::PlanarPolygon::CheckForLineIntersection(p1, p2, pnt1, pnt2, intersection))
    {
      intersectionList.push_back(intersection);
    }
  }

  if (this->IsClosed())
  {
    mitk::Point2D intersection;
    const mitk::Point2D lastControlPoint = polyLinePoints.back();
    const mitk::Point2D firstControlPoint = polyLinePoints.front();

    if (mitk::PlanarPolygon::CheckForLineIntersection(lastControlPoint, firstControlPoint, p1, p2, intersection))
    {
      intersectionList.push_back(intersection);
    }
  }

  return intersectionList;
}

bool mitk::PlanarPolygon::Equals(const mitk::PlanarFigure &other) const
{
  const mitk::PlanarPolygon *otherPolygon = dynamic_cast<const mitk::PlanarPolygon *>(&other);
  if (otherPolygon)
  {
    return Superclass::Equals(other);
  }
  else
  {
    return false;
  }
}