Cylinder.cpp

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#include "Cylinder.h"
 
#include "LevMarFitting.h"
#include "LevMarLSWeight.h"
#include <GfxTL/IndexedIterator.h>
#include <GfxTL/Mean.h>
#include <GfxTL/VectorXD.h>
#include <MiscLib/Performance.h>
#ifdef DOPARALLEL
#include <omp.h>
#endif
 
Cylinder::ParallelNormalsError::ParallelNormalsError() : std::runtime_error("Parallel normals")
{
}
 
Cylinder::Cylinder() : m_angularRotatedRadians(0)
{
}
 
Cylinder::Cylinder(const Vec3f& axisDir, const Vec3f& axisPos, float radius) :
    m_angularRotatedRadians(0)
{
    Init(axisDir, axisPos, radius);
}
 
Cylinder::Cylinder(const Vec3f& pointA,
                   const Vec3f& pointB,
                   const Vec3f& normalA,
                   const Vec3f& normalB) :
    m_angularRotatedRadians(0)
{
    if (!Init(pointA, pointB, normalA, normalB))
    {
        throw ParallelNormalsError();
    }
}
 
bool
Cylinder::Init(const MiscLib::Vector<Vec3f>& samples)
{
    if (samples.size() < 4)
    {
        return false;
    }
    // estimate axis from all pairs
    m_axisDir = Vec3f(0, 0, 0);
    size_t c = samples.size() / 2;
    size_t axisCount = 0;
    m_axisDir = samples[0 + c].cross(samples[1 + c]);
    if (m_axisDir.normalize() < 1e-3)
    {
        return false;
    }
    m_axisPos = Vec3f(0, 0, 0);
    m_radius = 0;
    // project first normal into plane
    float l = m_axisDir.dot(samples[0 + c]);
    Vec3f xdir = samples[0 + c] - l * m_axisDir;
    xdir.normalize();
    Vec3f ydir = m_axisDir.cross(xdir);
    ydir.normalize();
    // xdir is the x axis in the plane (y = 0) samples[0] is the origin
    float lineBnx = ydir.dot(samples[1 + c]);
    if (abs(lineBnx) < 1e-6)
    {
        return false;
    }
    float lineBny = -xdir.dot(samples[1 + c]);
    // origin of lineB
    Vec3f originB = samples[1] - samples[0];
    float lineBOx = xdir.dot(originB);
    float lineBOy = ydir.dot(originB);
    float lineBd = lineBnx * lineBOx + lineBny * lineBOy;
    // lineB in the plane complete
    // point of intersection is y = 0 and x = lineBd / lineBnx
    float radius = lineBd / lineBnx;
    m_axisPos += samples[0] + radius * xdir;
    m_radius += abs(radius);
    m_radius += std::sqrt((radius - lineBOx) * (radius - lineBOx) + lineBOy * lineBOy);
    m_radius /= 2;
    if (m_radius > 1e6)
    {
        return false;
    }
 
    // find point on axis closest to origin
    float lambda = m_axisDir.dot(-m_axisPos);
    m_axisPos = m_axisPos + lambda * m_axisDir;
 
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    return true;
}
 
bool
Cylinder::InitAverage(const MiscLib::Vector<Vec3f>& samples)
{
    if (samples.size() < 4)
    {
        return false;
    }
    // estimate axis from covariance of normal vectors
    MiscLib::Vector<GfxTL::Vector3Df> normals;
    size_t c = samples.size() / 2;
    for (size_t i = c; i < samples.size(); ++i)
    {
        normals.push_back(GfxTL::Vector3Df(samples[i]));
        normals.push_back(GfxTL::Vector3Df(-samples[i]));
    }
    GfxTL::MatrixXX<3, 3, float> cov, eigenVectors;
    GfxTL::Vector3Df eigenValues;
    GfxTL::CovarianceMatrix(GfxTL::Vector3Df(0, 0, 0), normals.begin(), normals.end(), &cov);
    GfxTL::Jacobi(cov, &eigenValues, &eigenVectors);
    // find the minimal eigenvalue and corresponding vector
    float minEigVal = eigenValues[0];
    unsigned int minEigIdx = 0;
    for (unsigned int i = 1; i < 3; ++i)
        if (eigenValues[i] < minEigVal)
        {
            minEigVal = eigenValues[i];
            minEigIdx = i;
        }
    m_axisDir = Vec3f(eigenVectors[minEigIdx]);
    // get a point on the axis from all pairs
    m_axisPos = Vec3f(0, 0, 0);
    m_radius = 0;
    size_t pointCount = 0;
    size_t pairCount = 0;
    for (size_t i = 0; i < c - 1; ++i)
        for (size_t j = i + 1; j < c; ++j)
        {
            // project first normal into plane
            float l = m_axisDir.dot(samples[i + c]);
            Vec3f xdir = samples[i + c] - l * m_axisDir;
            xdir.normalize();
            Vec3f ydir = m_axisDir.cross(xdir);
            ydir.normalize();
            // xdir is the x axis in the plane (y = 0) samples[i] is the origin
            float lineBnx = ydir.dot(samples[j + c]);
            if (abs(lineBnx) < .05f)
            {
                continue;
            }
            float lineBny = -xdir.dot(samples[j + c]);
            // origin of lineB
            Vec3f originB = samples[j] - samples[i];
            float lineBOx = xdir.dot(originB);
            float lineBOy = ydir.dot(originB);
            float lineBd = lineBnx * lineBOx + lineBny * lineBOy;
            // lineB in the plane complete
            // point of intersection is y = 0 and x = lineBd / lineBnx
            float radius = lineBd / lineBnx;
            m_axisPos += samples[i] + radius * xdir;
            m_radius += abs(radius);
            m_radius += std::sqrt((radius - lineBOx) * (radius - lineBOx) + lineBOy * lineBOy);
            ++pointCount;
        }
    if (!pointCount)
    {
        return false;
    }
    m_axisPos /= pointCount;
    m_radius /= pointCount * 2;
    if (m_radius > 1e6)
    {
        return false;
    }
 
    // find point on axis closest to origin
    float lambda = m_axisDir.dot(-m_axisPos);
    m_axisPos = m_axisPos + lambda * m_axisDir;
 
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    return true;
}
 
bool
Cylinder::Init(const Vec3f& axisDir, const Vec3f& axisPos, float radius)
{
    m_axisDir = axisDir;
    m_axisPos = axisPos;
    m_radius = radius;
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    return true;
}
 
bool
Cylinder::Init(const Vec3f& pointA, const Vec3f& pointB, const Vec3f& normalA, const Vec3f& normalB)
{
    if (normalA.dot(normalB) > 0.9998477)
    {
        return false;
    }
    m_axisDir = normalA.cross(normalB);
    if (m_axisDir.normalize() < 1e-6)
    {
        return false;
    }
    // normalA is the x axis in the plane (y = 0) pointA is the origin
    Vec3f planeY = normalA.cross(m_axisDir); // planeX = normalA
    planeY.normalize();
    float lineBnx = planeY.dot(normalB);
    float lineBny = -normalA.dot(normalB);
    // origin of lineB
    Vec3f originB = pointB - pointA;
    float lineBOx = normalA.dot(originB);
    float lineBOy = planeY.dot(originB);
    float lineBd = lineBnx * lineBOx + lineBny * lineBOy;
    // lineB in the plane complete
    // point of intersection is y = 0 and x = lineBd / lineBnx
    m_radius = lineBd / lineBnx;
    m_axisPos = pointA + m_radius * normalA;
    m_radius = abs(m_radius);
    if (m_radius > 1e6)
    {
        return false;
    }
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    return true;
}
 
bool
Cylinder::Init(bool binary, std::istream* i)
{
    float rotate = 0;
    if (binary)
    {
        i->read((char*)&m_axisDir, sizeof(m_axisDir));
        i->read((char*)&m_axisPos, sizeof(m_axisPos));
        i->read((char*)&m_radius, sizeof(m_radius));
        i->read((char*)&rotate, sizeof(rotate));
    }
    else
    {
        for (size_t j = 0; j < 3; ++j)
        {
            (*i) >> m_axisDir[j];
        }
        for (size_t j = 0; j < 3; ++j)
        {
            (*i) >> m_axisPos[j];
        }
        (*i) >> m_radius;
        (*i) >> rotate;
    }
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    RotateAngularDirection(rotate);
    return true;
}
 
void
Cylinder::Init(FILE* i)
{
    float rotate = 0;
    fread(&m_axisDir, sizeof(m_axisDir), 1, i);
    fread(&m_axisPos, sizeof(m_axisPos), 1, i);
    fread(&m_radius, sizeof(m_radius), 1, i);
    fread(&rotate, sizeof(rotate), 1, i);
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    RotateAngularDirection(rotate);
}
 
void
Cylinder::Init(float* array)
{
    float rotate = 0;
    for (int i = 0; i < 3; i++)
    {
        m_axisDir[i] = array[i];
        m_axisPos[i] = array[i + 3];
    }
    m_radius = array[6];
    rotate = array[7];
 
    m_hcs.FromNormal(m_axisDir);
    m_angularRotatedRadians = 0;
    RotateAngularDirection(rotate);
}
 
void
Cylinder::Project(const Vec3f& p, Vec3f* pp) const
{
    Vec3f diff = m_axisPos - p;
    float lambda = m_axisDir.dot(diff);
    *pp = (diff - lambda * m_axisDir);
    float l = pp->length();
    *pp *= (l - m_radius) / l;
    *pp += p;
}
 
void
Cylinder::Parameters(const Vec3f& p, std::pair<float, float>* param) const
{
    Vec3f diff = p - m_axisPos;
    param->first = m_axisDir.dot(diff);
    float planex = diff.dot(m_hcs[0].Data());
    float planey = diff.dot(m_hcs[1].Data());
    float l = planex * planex + planey * planey;
    if (l > 0)
    {
        planex /= l;
        planey /= l;
    }
    param->second = std::atan2(planey, planex);
    if (param->second < 0)
    {
        param->second += float(2 * M_PI);
    }
}
 
float
Cylinder::Radius() const
{
    return m_radius;
}
 
float&
Cylinder::Radius()
{
    return m_radius;
}
 
const Vec3f&
Cylinder::AxisDirection() const
{
    return m_axisDir;
}
 
Vec3f&
Cylinder::AxisDirection()
{
    return m_axisDir;
}
 
const Vec3f&
Cylinder::AxisPosition() const
{
    return m_axisPos;
}
 
Vec3f&
Cylinder::AxisPosition()
{
    return m_axisPos;
}
 
const Vec3f
Cylinder::AngularDirection() const
{
    return Vec3f(m_hcs[0].Data());
}
 
void
Cylinder::RotateAngularDirection(float radians)
{
    GfxTL::Quaternion<float> q;
    q.RotationRad(radians, m_axisDir[0], m_axisDir[1], m_axisDir[2]);
    Vec3f vvec;
    q.Rotate(AngularDirection(), &vvec);
    m_hcs[0] = GfxTL::Vector3Df(vvec);
    m_hcs[1] = GfxTL::Vector3Df(m_axisDir.cross(Vec3f(m_hcs[0].Data())));
    m_angularRotatedRadians += radians;
}
 
float
CylinderDistance(const float* param, const float* x)
{
    Vec3f s;
    for (size_t i = 0; i < 3; ++i)
    {
        s[i] = x[i] - param[i];
    }
    float u = param[5] * s[1] - param[4] * s[2];
    u *= u;
    float v = param[3] * s[2] - param[5] * s[0];
    u += v * v;
    v = param[4] * s[0] - param[3] * s[1];
    u += v * v;
    return std::sqrt(u) - param[6];
}
 
void
CylinderDistanceDerivatives(const float* param, const float* x, float* gradient)
{
    Vec3f s;
    for (size_t i = 0; i < 3; ++i)
    {
        s[i] = x[i] - param[i];
    }
    float g = s[0] * x[0] + s[1] * x[1] + s[2] * x[2];
    float f = param[5] * s[1] - param[4] * s[2];
    f *= f;
    float v = param[3] * s[2] - param[5] * s[0];
    f += v * v;
    v = param[4] * s[0] - param[3] * s[1];
    f += v * v;
    f = std::sqrt(f);
    if (f < 1e-6)
    {
        gradient[0] = std::sqrt(1 - param[3] * param[3]);
        gradient[1] = std::sqrt(1 - param[4] * param[4]);
        gradient[2] = std::sqrt(1 - param[5] * param[5]);
    }
    else
    {
        gradient[0] = (param[3] * g - s[0]) / f;
        gradient[1] = (param[4] * g - s[1]) / f;
        gradient[2] = (param[5] * g - s[2]) / f;
    }
    gradient[3] = g * gradient[0];
    gradient[4] = g * gradient[1];
    gradient[5] = g * gradient[2];
    gradient[6] = -1;
}
 
void
NormalizeCylinderParams(float* param)
{
    float l = std::sqrt(param[3] * param[3] + param[4] * param[4] + param[5] * param[5]);
    for (unsigned int i = 3; i < 6; ++i)
    {
        param[i] /= l;
    }
    // find point on axis closest to origin
    float lambda = -(param[0] * param[3] + param[1] * param[4] + param[2] * param[5]);
    for (unsigned int i = 0; i < 3; ++i)
    {
        param[i] = param[i] + lambda * param[i + 3];
    }
}
 
bool
Cylinder::LeastSquaresFit(const PointCloud& pc,
                          MiscLib::Vector<size_t>::const_iterator begin,
                          MiscLib::Vector<size_t>::const_iterator end)
{
    bool retVal = LeastSquaresFit(GfxTL::IndexIterate(begin, pc.begin()),
                                  GfxTL::IndexIterate(end, pc.begin()));
    return retVal;
}
 
bool
Cylinder::Interpolate(const MiscLib::Vector<Cylinder>& cylinders,
                      const MiscLib::Vector<float>& weights,
                      Cylinder* ic)
{
    Vec3f axisPos(0, 0, 0);
    Vec3f axisDir(0, 0, 0);
    float r = 0;
    for (size_t i = 0; i < cylinders.size(); ++i)
    {
        axisPos += weights[i] * cylinders[i].AxisPosition();
        axisDir += weights[i] * cylinders[i].AxisDirection();
        r += weights[i] * cylinders[i].Radius();
    }
    axisDir.normalize();
    return ic->Init(axisDir, axisPos, r);
}
 
void
Cylinder::Serialize(bool binary, std::ostream* o) const
{
    if (binary)
    {
        o->write((const char*)&m_axisDir, sizeof(m_axisDir));
        o->write((const char*)&m_axisPos, sizeof(m_axisPos));
        o->write((const char*)&m_radius, sizeof(m_radius));
        o->write((const char*)&m_angularRotatedRadians, sizeof(m_angularRotatedRadians));
    }
    else
    {
        (*o) << m_axisDir[0] << " " << m_axisDir[1] << " " << m_axisDir[2] << " " << m_axisPos[0]
             << " " << m_axisPos[1] << " " << m_axisPos[2] << " " << m_radius << " "
             << m_angularRotatedRadians << " ";
    }
}
 
size_t
Cylinder::SerializedSize()
{
    return sizeof(Vec3f) + sizeof(Vec3f) + sizeof(float) + sizeof(float);
}
 
void
Cylinder::Serialize(float* array) const
{
 
    for (int i = 0; i < 3; i++)
    {
        array[i] = m_axisDir[i];
        array[i + 3] = m_axisPos[i];
    }
    array[6] = m_radius;
    array[7] = m_angularRotatedRadians;
}
 
size_t
Cylinder::SerializedFloatSize()
{
    return 8;
}
 
void
Cylinder::Serialize(FILE* o) const
{
    fwrite(&m_axisDir, sizeof(m_axisDir), 1, o);
    fwrite(&m_axisPos, sizeof(m_axisPos), 1, o);
    fwrite(&m_radius, sizeof(m_radius), 1, o);
    fwrite(&m_angularRotatedRadians, sizeof(m_angularRotatedRadians), 1, o);
}
 
void
Cylinder::Transform(float scale, const Vec3f& translate)
{
    m_axisPos *= scale;
    m_axisPos += translate;
    m_radius *= scale;
}
 
void
Cylinder::Transform(const GfxTL::MatrixXX<3, 3, float>& rot, const GfxTL::Vector3Df& trans)
{
    m_axisDir = Vec3f((rot * GfxTL::Vector3Df(m_axisDir)).Data());
    m_axisPos = Vec3f((rot * GfxTL::Vector3Df(m_axisPos) + trans).Data());
    m_hcs[0] = rot * m_hcs[0];
    m_hcs[1] = rot * m_hcs[1];
}