public Ray ConvertParametersToFrontSurfaceRay(
LensRayTransferFunction.Parameters parameters)
{
Vector3d canonicalNormal = -Vector3d.UnitZ;
double surfaceSinTheta = frontSurfaceSinTheta;
Sphere sphericalSurface = frontSphericalSurface;
ElementSurface surface = ElementSurfaces.Last();
return(ConvertParametersToSurfaceRay(parameters,
canonicalNormal, surfaceSinTheta, sphericalSurface, surface));
}
public void CompareInterpolatedLrtfValueWithOriginalOnes()
{
ComplexLens lens = ComplexLens.CreateDoubleGaussLens(Materials.Fixed.AIR, 4.0);
LensRayTransferFunction lrtf = new LensRayTransferFunction(lens);
int sampleCount = 128;
string filename = string.Format(@"data\lrtf_double_gauss_{0}.bin", sampleCount);
var table = lrtf.SampleLrtf3DCached(sampleCount, filename);
Random random = new Random();
for (int i = 0; i < 1000; i++)
{
var incomingParams = new LensRayTransferFunction.Parameters(
random.NextDouble(), random.NextDouble(),
random.NextDouble(), random.NextDouble()
);
var outgoingParamsOriginal = lrtf.ComputeLrtf(incomingParams).ToVector4d();
var outgoingParamsInterpolated = table.EvaluateLrtf3D(incomingParams).ToVector4d();
//AssertEqualVector4d(outgoingParamsOriginal, outgoingParamsInterpolated);
}
}
private void Recompute()
{
if (!initialized)
{
return;
}
double positionTheta = (double)positionThetaNumeric.Value;
double positionPhi = (double)positionPhiNumeric.Value;
double directionTheta = (double)directionThetaNumeric.Value;
double directionPhi = (double)directionPhiNumeric.Value;
var inputRay = new LensRayTransferFunction.Parameters(
positionTheta, positionPhi, directionTheta, directionPhi);
var variableParam = (LensRayTransferFunction.VariableParameter)
variableParameterComboBox.SelectedValue;
outgoingRays = lrtf.SampleLrtf1D(inputRay, variableParam, sampleCount);
InvalidatePanels();
}
public void ComputeLrtfForRandomInput()
{
ComplexLens lens = ComplexLens.CreateDoubleGaussLens(Materials.Fixed.AIR, 4.0);
LensRayTransferFunction lrtf = new LensRayTransferFunction(lens);
Random random = new Random();
for (int i = 0; i < 1000; i++)
{
var incomingParams = new LensRayTransferFunction.Parameters(
random.NextDouble(), random.NextDouble(),
random.NextDouble(), random.NextDouble()
);
LensRayTransferFunction.Parameters outgoingParams = lrtf.ComputeLrtf(incomingParams);
if (outgoingParams != null)
{
if (outgoingParams.DirectionTheta < 0 || outgoingParams.DirectionTheta > 1 ||
outgoingParams.DirectionPhi < 0 || outgoingParams.DirectionPhi > 1 ||
outgoingParams.PositionTheta < 0 || outgoingParams.PositionTheta > 1 ||
outgoingParams.PositionPhi < 0 || outgoingParams.PositionPhi > 1)
{
Console.WriteLine("Warning: parameter outside [0; 1] interval.");
Console.WriteLine("incoming: {0}", incomingParams);
Console.WriteLine("outgoing: {0}", outgoingParams);
Console.WriteLine();
}
//Assert.InRange(outgoingParams.DirectionTheta, 0.0, 1.0);
//Assert.InRange(outgoingParams.DirectionPhi, 0.0, 1.0);
//Assert.InRange(outgoingParams.PositionTheta, 0.0, 1.0);
//Assert.InRange(outgoingParams.PositionPhi, 0.0, 1.0);
}
}
}
public void ComputeLrtf()
{
ComplexLens lens = ComplexLens.CreateDoubleGaussLens(Materials.Fixed.AIR, 4.0);
LensRayTransferFunction lrtf = new LensRayTransferFunction(lens);
var incomingParams = new LensRayTransferFunction.Parameters(0.5, 0.5, 0.7000000000000004, 0.0);
LensRayTransferFunction.Parameters outgoingParams = lrtf.ComputeLrtf(incomingParams);
Console.WriteLine("IN: {0}", incomingParams);
Console.WriteLine("OUT: {0}", outgoingParams);
if (outgoingParams != null)
{
Console.WriteLine(" {0}", lens.ConvertParametersToFrontSurfaceRay(outgoingParams));
}
}
public void SampleLrtf()
{
ComplexLens lens = ComplexLens.CreateDoubleGaussLens(Materials.Fixed.AIR, 4.0);
LensRayTransferFunction lrtf = new LensRayTransferFunction(lens);
var defaultParameters = new LensRayTransferFunction.Parameters(0.5, 0.5, 1.0, 0.5);
var table = lrtf.SampleLrtf1D(defaultParameters,
LensRayTransferFunction.VariableParameter.DirectionTheta, 101);
//int i = 0;
//foreach (LensRayTransferFunction.Parameters rayParams in table)
//{
// Console.WriteLine("[{0}]: {1}", i, rayParams);
// if (rayParams != null)
// {
// //Console.WriteLine(" {0}", lens.ConvertParametersToFrontSurfaceRay(rayParams));
// }
// i++;
//}
Console.WriteLine("{{ {0} }}", string.Join(",\n", table.Select((item) => (item != null) ? item.ToString() : "Null").ToArray()));
}
public void ComputeLrtfResultInCorrectInterval()
{
ComplexLens lens = ComplexLens.CreateDoubleGaussLens(Materials.Fixed.AIR, 4.0);
LensRayTransferFunction lrtf = new LensRayTransferFunction(lens);
var incomingParams = new LensRayTransferFunction.Parameters(0.835057026164167, 0.375245163857585, 0.854223355117358, 0.000161428470239708);
LensRayTransferFunction.Parameters outgoingParams = lrtf.ComputeLrtf(incomingParams);
Console.WriteLine(outgoingParams);
}
/// <summary>
/// Sample the LRTF with fixed position and direction phi parameters,
/// ie. vary the respective theta parameters.
/// </summary>
/// <param name="sampleCount">Number of sample in each of the two
/// variable dimensions.</param>
/// <returns>Table of rays in parametrized representation.</returns>
public Parameters[] SampleLrtf1D(LensRayTransferFunction.Parameters parameters,
VariableParameter variableParam, int sampleCount)
{
Parameters[] table = new Parameters[sampleCount];
switch (variableParam)
{
case VariableParameter.PositionTheta:
parameters.PositionTheta = 0;
break;
case VariableParameter.PositionPhi:
parameters.PositionPhi = 0;
break;
case VariableParameter.DirectionTheta:
parameters.DirectionTheta = 0;
break;
case VariableParameter.DirectionPhi:
parameters.DirectionPhi = 0;
break;
default:
break;
}
double param = 0.0;
double step = 1 / (double)(sampleCount - 1);
for (int i = 0; i < sampleCount; i++)
{
switch (variableParam)
{
case VariableParameter.PositionTheta:
parameters.PositionTheta = param;
break;
case VariableParameter.PositionPhi:
parameters.PositionPhi = param;
break;
case VariableParameter.DirectionTheta:
parameters.DirectionTheta = param;
break;
case VariableParameter.DirectionPhi:
parameters.DirectionPhi = param;
break;
default:
break;
}
var outputParams = ComputeLrtf(parameters);
if (!outputParams.IsDefined)
{
outputParams = null;
}
table[i] = outputParams;
param += step;
}
return(table);
}
/// <summary>
/// Convert a ray with origin at the back or front lens surface from
/// its parametric representation.
/// </summary>
/// <param name="position">Position on lens surface in parameteric
/// representation (normalized hemispherical coordinates).</param>
/// <param name="direction">Direction of the ray with respect to the
/// local frame in parameteric representation (normalized hemispherical
/// coordinates).
/// </param>
/// <param name="canonicalNormal">Normal of the lens surface
/// hemisphere (typically (0,0,1) for the back surface or (0,0,-1) for
/// the front surface).</param>
/// <param name="surfaceSinTheta">Sine of the surface spherical cap
/// theta angle.</param>
/// <param name="sphericalSurface">Lens surface represented as a
/// sphere.</param>
/// <param name="surface">Lens surface with its normal field.</param>
/// <returns>Ray corresponding to its parametric representation.
/// </returns>
public Ray ConvertParametersToSurfaceRay(
LensRayTransferFunction.Parameters parameters,
Vector3d canonicalNormal, double surfaceSinTheta,
Sphere sphericalSurface, ElementSurface surface)
{
//Console.WriteLine("parameters->ray");
//Console.WriteLine("position parameters: {0}", parameters.Position);
// uniform spacing sampling for LRTF sampling
Vector3d unitSpherePos = Sampler.SampleSphereWithUniformSpacing(
parameters.Position, surfaceSinTheta, 1);
//Console.WriteLine("unit sphere position: {0}", unitSpherePos);
unitSpherePos.Z *= canonicalNormal.Z;
Vector3d lensPos = sphericalSurface.Center + sphericalSurface.Radius * unitSpherePos;
//Console.WriteLine("ray origin: {0}", lensPos);
// - get normal N at P
Vector3d normalLocal = surface.SurfaceNormalField.GetNormal(lensPos);
// - compute direction D from spherical coordinates (wrt normal Z = (0,0,+/-1))
double theta = 0.5 * Math.PI * parameters.DirectionTheta;
double phi = 2 * Math.PI * parameters.DirectionPhi;
double cosTheta = Math.Cos(theta);
Vector3d directionZ = new Vector3d(
Math.Cos(phi) * cosTheta,
Math.Sin(phi) * cosTheta,
Math.Sin(theta) * canonicalNormal.Z);
// - rotate D from Z to N frame
// - using a (normalized) quaternion Q
// - N and Z should be assumed to be already normalized
// - more efficient method: Efficiently building a matrix to
// rotate one vector to another [moller1999]
normalLocal.Normalize(); // TODO: check if it is unnecessary
//Console.WriteLine("abs. direction: {0}", directionZ);
//Console.WriteLine("local normal: {0}", normalLocal);
Vector3d rotationAxis = Vector3d.Cross(canonicalNormal, normalLocal);
//Console.WriteLine("rotation axis: {0}", rotationAxis);
Vector3d rotatedDir = directionZ;
if (rotationAxis.Length > 0)
{
double angle = Math.Acos(Vector3d.Dot(canonicalNormal, normalLocal));
//Console.WriteLine("angle: {0}", angle);
// first the local direction must be rotated around using the position phi!
//Console.WriteLine("position phi: {0}", parameters.PositionPhi);
Matrix4d rotMatrix = Matrix4d.CreateRotationZ(2 * Math.PI * parameters.PositionPhi);
// only then can be transformed to the frame of the local normal
rotMatrix = rotMatrix * Matrix4d.CreateFromAxisAngle(rotationAxis, angle);
rotatedDir = Vector3d.Transform(directionZ, rotMatrix);
}
if (surface.Convex)
{
rotatedDir = -rotatedDir;
}
//Console.WriteLine("local direction: {0}", rotatedDir);
Ray result = new Ray(lensPos, rotatedDir);
return(result);
}
