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0032037: Visualization - move V3d_View::FitMinMax() to Graphic3d_Camera::FitMinMax()
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@ -1370,6 +1370,165 @@ void Graphic3d_Camera::LookOrientation (const NCollection_Vec3<Elem_t>& theEye,
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theOutMx.Multiply (anAxialScaleMx);
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}
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// =======================================================================
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// function : FitMinMax
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// purpose :
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// =======================================================================
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bool Graphic3d_Camera::FitMinMax (const Bnd_Box& theBox,
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const Standard_Real theResolution,
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const bool theToEnlargeIfLine)
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{
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// Check bounding box for validness
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if (theBox.IsVoid())
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{
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return false; // bounding box is out of bounds...
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}
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// Apply "axial scaling" to the bounding points.
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// It is not the best approach to make this scaling as a part of fit all operation,
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// but the axial scale is integrated into camera orientation matrix and the other
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// option is to perform frustum plane adjustment algorithm in view camera space,
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// which will lead to a number of additional world-view space conversions and
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// loosing precision as well.
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const gp_Pnt aBndMin = theBox.CornerMin().XYZ().Multiplied (myAxialScale);
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const gp_Pnt aBndMax = theBox.CornerMax().XYZ().Multiplied (myAxialScale);
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if (aBndMax.IsEqual (aBndMin, RealEpsilon()))
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{
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return false; // nothing to fit all
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}
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// Prepare camera frustum planes.
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gp_Pln aFrustumPlaneArray[6];
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NCollection_Array1<gp_Pln> aFrustumPlane (aFrustumPlaneArray[0], 1, 6);
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Frustum (aFrustumPlane[1], aFrustumPlane[2], aFrustumPlane[3],
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aFrustumPlane[4], aFrustumPlane[5], aFrustumPlane[6]);
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// Prepare camera up, side, direction vectors.
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const gp_Dir aCamUp = OrthogonalizedUp();
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const gp_Dir aCamDir = Direction();
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const gp_Dir aCamSide = aCamDir ^ aCamUp;
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// Prepare scene bounding box parameters.
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const gp_Pnt aBndCenter = (aBndMin.XYZ() + aBndMax.XYZ()) / 2.0;
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gp_Pnt aBndCornerArray[8];
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NCollection_Array1<gp_Pnt> aBndCorner (aBndCornerArray[0], 1, 8);
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aBndCorner[1].SetCoord (aBndMin.X(), aBndMin.Y(), aBndMin.Z());
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aBndCorner[2].SetCoord (aBndMin.X(), aBndMin.Y(), aBndMax.Z());
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aBndCorner[3].SetCoord (aBndMin.X(), aBndMax.Y(), aBndMin.Z());
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aBndCorner[4].SetCoord (aBndMin.X(), aBndMax.Y(), aBndMax.Z());
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aBndCorner[5].SetCoord (aBndMax.X(), aBndMin.Y(), aBndMin.Z());
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aBndCorner[6].SetCoord (aBndMax.X(), aBndMin.Y(), aBndMax.Z());
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aBndCorner[7].SetCoord (aBndMax.X(), aBndMax.Y(), aBndMin.Z());
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aBndCorner[8].SetCoord (aBndMax.X(), aBndMax.Y(), aBndMax.Z());
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// Perspective-correct camera projection vector, matching the bounding box is determined geometrically.
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// Knowing the initial shape of a frustum it is possible to match it to a bounding box.
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// Then, knowing the relation of camera projection vector to the frustum shape it is possible to
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// set up perspective-correct camera projection matching the bounding box.
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// These steps support non-asymmetric transformations of view-projection space provided by camera.
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// The zooming can be done by calculating view plane size matching the bounding box at center of
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// the bounding box. The only limitation here is that the scale of camera should define size of
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// its view plane passing through the camera center, and the center of camera should be on the
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// same line with the center of bounding box.
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// The following method is applied:
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// 1) Determine normalized asymmetry of camera projection vector by frustum planes.
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// 2) Determine new location of frustum planes, "matching" the bounding box.
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// 3) Determine new camera projection vector using the normalized asymmetry.
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// 4) Determine new zooming in view space.
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// 1. Determine normalized projection asymmetry (if any).
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Standard_Real anAssymX = Tan (( aCamSide).Angle (aFrustumPlane[1].Axis().Direction()))
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- Tan ((-aCamSide).Angle (aFrustumPlane[2].Axis().Direction()));
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Standard_Real anAssymY = Tan (( aCamUp) .Angle (aFrustumPlane[3].Axis().Direction()))
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- Tan ((-aCamUp) .Angle (aFrustumPlane[4].Axis().Direction()));
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// 2. Determine how far should be the frustum planes placed from center
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// of bounding box, in order to match the bounding box closely.
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Standard_Real aFitDistanceArray[6];
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NCollection_Array1<Standard_Real> aFitDistance (aFitDistanceArray[0], 1, 6);
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aFitDistance.Init (0.0);
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for (Standard_Integer anI = aFrustumPlane.Lower(); anI <= aFrustumPlane.Upper(); ++anI)
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{
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// Measure distances from center of bounding box to its corners towards the frustum plane.
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const gp_Dir& aPlaneN = aFrustumPlane[anI].Axis().Direction();
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Standard_Real& aFitDist = aFitDistance[anI];
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for (Standard_Integer aJ = aBndCorner.Lower(); aJ <= aBndCorner.Upper(); ++aJ)
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{
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aFitDist = Max (aFitDist, gp_Vec (aBndCenter, aBndCorner[aJ]).Dot (aPlaneN));
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}
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}
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// The center of camera is placed on the same line with center of bounding box.
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// The view plane section crosses the bounding box at its center.
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// To compute view plane size, evaluate coefficients converting "point -> plane distance"
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// into view section size between the point and the frustum plane.
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// proj
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// /|\ right half of frame //
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// | //
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// point o<-- distance * coeff -->//---- (view plane section)
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// \ //
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// (distance) //
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// ~ //
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// (distance) //
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// \/\//
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// \//
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// //
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// (frustum plane)
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aFitDistance[1] *= Sqrt(1 + Pow (Tan ( aCamSide .Angle (aFrustumPlane[1].Axis().Direction())), 2.0));
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aFitDistance[2] *= Sqrt(1 + Pow (Tan ((-aCamSide).Angle (aFrustumPlane[2].Axis().Direction())), 2.0));
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aFitDistance[3] *= Sqrt(1 + Pow (Tan ( aCamUp .Angle (aFrustumPlane[3].Axis().Direction())), 2.0));
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aFitDistance[4] *= Sqrt(1 + Pow (Tan ((-aCamUp) .Angle (aFrustumPlane[4].Axis().Direction())), 2.0));
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aFitDistance[5] *= Sqrt(1 + Pow (Tan ( aCamDir .Angle (aFrustumPlane[5].Axis().Direction())), 2.0));
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aFitDistance[6] *= Sqrt(1 + Pow (Tan ((-aCamDir) .Angle (aFrustumPlane[6].Axis().Direction())), 2.0));
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Standard_Real aViewSizeXv = aFitDistance[1] + aFitDistance[2];
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Standard_Real aViewSizeYv = aFitDistance[3] + aFitDistance[4];
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Standard_Real aViewSizeZv = aFitDistance[5] + aFitDistance[6];
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// 3. Place center of camera on the same line with center of bounding
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// box applying corresponding projection asymmetry (if any).
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Standard_Real anAssymXv = anAssymX * aViewSizeXv * 0.5;
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Standard_Real anAssymYv = anAssymY * aViewSizeYv * 0.5;
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Standard_Real anOffsetXv = (aFitDistance[2] - aFitDistance[1]) * 0.5 + anAssymXv;
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Standard_Real anOffsetYv = (aFitDistance[4] - aFitDistance[3]) * 0.5 + anAssymYv;
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gp_Vec aTranslateSide = gp_Vec (aCamSide) * anOffsetXv;
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gp_Vec aTranslateUp = gp_Vec (aCamUp) * anOffsetYv;
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gp_Pnt aCamNewCenter = aBndCenter.Translated (aTranslateSide).Translated (aTranslateUp);
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gp_Trsf aCenterTrsf;
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aCenterTrsf.SetTranslation (Center(), aCamNewCenter);
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Transform (aCenterTrsf);
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SetDistance (aFitDistance[6] + aFitDistance[5]);
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if (aViewSizeXv < theResolution
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&& aViewSizeYv < theResolution)
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{
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// Bounding box collapses to a point or thin line going in depth of the screen
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if (aViewSizeXv < theResolution || !theToEnlargeIfLine)
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{
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return false; // This is just one point or line and zooming has no effect.
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}
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// Looking along line and "theToEnlargeIfLine" is requested.
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// Fit view to see whole scene on rotation.
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aViewSizeXv = aViewSizeZv;
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aViewSizeYv = aViewSizeZv;
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}
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const Standard_Real anAspect = Aspect();
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if (anAspect > 1.0)
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{
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SetScale (Max (aViewSizeXv / anAspect, aViewSizeYv));
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}
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else
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{
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SetScale (Max (aViewSizeXv, aViewSizeYv * anAspect));
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}
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return true;
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}
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//=============================================================================
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//function : ZFitAll
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//purpose :
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@ -359,6 +359,11 @@ public:
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//! Set Field Of View (FOV) restriction for 2D on-screen elements.
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Standard_EXPORT void SetFOV2d (Standard_Real theFOV);
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//! Adjust camera to fit in specified AABB.
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Standard_EXPORT bool FitMinMax (const Bnd_Box& theBox,
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const Standard_Real theResolution,
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const bool theToEnlargeIfLine);
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//! Estimate Z-min and Z-max planes of projection volume to match the
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//! displayed objects. The methods ensures that view volume will
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//! be close by depth range to the displayed objects. Fitting assumes that
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@ -2927,159 +2927,13 @@ Standard_Boolean V3d_View::FitMinMax (const Handle(Graphic3d_Camera)& theCamera,
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const Standard_Real theResolution,
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const Standard_Boolean theToEnlargeIfLine) const
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{
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// Check bounding box for validness
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if (theBox.IsVoid())
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if (!theCamera->FitMinMax (theBox, theResolution, theToEnlargeIfLine))
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{
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return Standard_False; // bounding box is out of bounds...
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}
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// Apply "axial scaling" to the bounding points.
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// It is not the best approach to make this scaling as a part of fit all operation,
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// but the axial scale is integrated into camera orientation matrix and the other
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// option is to perform frustum plane adjustment algorithm in view camera space,
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// which will lead to a number of additional world-view space conversions and
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// loosing precision as well.
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gp_Pnt aBndMin = theBox.CornerMin().XYZ().Multiplied (theCamera->AxialScale());
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gp_Pnt aBndMax = theBox.CornerMax().XYZ().Multiplied (theCamera->AxialScale());
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if (aBndMax.IsEqual (aBndMin, RealEpsilon()))
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{
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return Standard_False; // nothing to fit all
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}
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// Prepare camera frustum planes.
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NCollection_Array1<gp_Pln> aFrustumPlane (1, 6);
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theCamera->Frustum (aFrustumPlane.ChangeValue (1),
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aFrustumPlane.ChangeValue (2),
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aFrustumPlane.ChangeValue (3),
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aFrustumPlane.ChangeValue (4),
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aFrustumPlane.ChangeValue (5),
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aFrustumPlane.ChangeValue (6));
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// Prepare camera up, side, direction vectors.
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gp_Dir aCamUp = theCamera->OrthogonalizedUp();
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gp_Dir aCamDir = theCamera->Direction();
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gp_Dir aCamSide = aCamDir ^ aCamUp;
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// Prepare scene bounding box parameters.
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gp_Pnt aBndCenter = (aBndMin.XYZ() + aBndMax.XYZ()) / 2.0;
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NCollection_Array1<gp_Pnt> aBndCorner (1, 8);
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aBndCorner.ChangeValue (1) = gp_Pnt (aBndMin.X(), aBndMin.Y(), aBndMin.Z());
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aBndCorner.ChangeValue (2) = gp_Pnt (aBndMin.X(), aBndMin.Y(), aBndMax.Z());
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aBndCorner.ChangeValue (3) = gp_Pnt (aBndMin.X(), aBndMax.Y(), aBndMin.Z());
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aBndCorner.ChangeValue (4) = gp_Pnt (aBndMin.X(), aBndMax.Y(), aBndMax.Z());
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aBndCorner.ChangeValue (5) = gp_Pnt (aBndMax.X(), aBndMin.Y(), aBndMin.Z());
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aBndCorner.ChangeValue (6) = gp_Pnt (aBndMax.X(), aBndMin.Y(), aBndMax.Z());
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aBndCorner.ChangeValue (7) = gp_Pnt (aBndMax.X(), aBndMax.Y(), aBndMin.Z());
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aBndCorner.ChangeValue (8) = gp_Pnt (aBndMax.X(), aBndMax.Y(), aBndMax.Z());
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// Perspective-correct camera projection vector, matching the bounding box is determined geometrically.
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// Knowing the initial shape of a frustum it is possible to match it to a bounding box.
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// Then, knowing the relation of camera projection vector to the frustum shape it is possible to
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// set up perspective-correct camera projection matching the bounding box.
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// These steps support non-asymmetric transformations of view-projection space provided by camera.
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// The zooming can be done by calculating view plane size matching the bounding box at center of
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// the bounding box. The only limitation here is that the scale of camera should define size of
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// its view plane passing through the camera center, and the center of camera should be on the
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// same line with the center of bounding box.
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// The following method is applied:
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// 1) Determine normalized asymmetry of camera projection vector by frustum planes.
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// 2) Determine new location of frustum planes, "matching" the bounding box.
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// 3) Determine new camera projection vector using the normalized asymmetry.
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// 4) Determine new zooming in view space.
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// 1. Determine normalized projection asymmetry (if any).
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Standard_Real anAssymX = Tan (( aCamSide).Angle (aFrustumPlane (1).Axis().Direction()))
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- Tan ((-aCamSide).Angle (aFrustumPlane (2).Axis().Direction()));
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Standard_Real anAssymY = Tan (( aCamUp) .Angle (aFrustumPlane (3).Axis().Direction()))
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- Tan ((-aCamUp) .Angle (aFrustumPlane (4).Axis().Direction()));
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// 2. Determine how far should be the frustum planes placed from center
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// of bounding box, in order to match the bounding box closely.
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NCollection_Array1<Standard_Real> aFitDistance (1, 6);
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aFitDistance.ChangeValue (1) = 0.0;
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aFitDistance.ChangeValue (2) = 0.0;
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aFitDistance.ChangeValue (3) = 0.0;
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aFitDistance.ChangeValue (4) = 0.0;
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aFitDistance.ChangeValue (5) = 0.0;
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aFitDistance.ChangeValue (6) = 0.0;
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for (Standard_Integer anI = aFrustumPlane.Lower(); anI <= aFrustumPlane.Upper(); ++anI)
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{
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// Measure distances from center of bounding box to its corners towards the frustum plane.
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const gp_Dir& aPlaneN = aFrustumPlane.ChangeValue (anI).Axis().Direction();
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Standard_Real& aFitDist = aFitDistance.ChangeValue (anI);
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for (Standard_Integer aJ = aBndCorner.Lower(); aJ <= aBndCorner.Upper(); ++aJ)
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{
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aFitDist = Max (aFitDist, gp_Vec (aBndCenter, aBndCorner (aJ)).Dot (aPlaneN));
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}
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}
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// The center of camera is placed on the same line with center of bounding box.
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// The view plane section crosses the bounding box at its center.
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// To compute view plane size, evaluate coefficients converting "point -> plane distance"
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// into view section size between the point and the frustum plane.
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// proj
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// /|\ right half of frame //
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// | //
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// point o<-- distance * coeff -->//---- (view plane section)
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// \ //
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// (distance) //
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// ~ //
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// (distance) //
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// \/\//
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// \//
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// //
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// (frustum plane)
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aFitDistance.ChangeValue (1) *= Sqrt(1 + Pow (Tan ( aCamSide .Angle (aFrustumPlane (1).Axis().Direction())), 2.0));
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aFitDistance.ChangeValue (2) *= Sqrt(1 + Pow (Tan ((-aCamSide).Angle (aFrustumPlane (2).Axis().Direction())), 2.0));
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aFitDistance.ChangeValue (3) *= Sqrt(1 + Pow (Tan ( aCamUp .Angle (aFrustumPlane (3).Axis().Direction())), 2.0));
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aFitDistance.ChangeValue (4) *= Sqrt(1 + Pow (Tan ((-aCamUp) .Angle (aFrustumPlane (4).Axis().Direction())), 2.0));
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aFitDistance.ChangeValue (5) *= Sqrt(1 + Pow (Tan ( aCamDir .Angle (aFrustumPlane (5).Axis().Direction())), 2.0));
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aFitDistance.ChangeValue (6) *= Sqrt(1 + Pow (Tan ((-aCamDir) .Angle (aFrustumPlane (6).Axis().Direction())), 2.0));
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Standard_Real aViewSizeXv = aFitDistance (1) + aFitDistance (2);
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Standard_Real aViewSizeYv = aFitDistance (3) + aFitDistance (4);
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Standard_Real aViewSizeZv = aFitDistance (5) + aFitDistance (6);
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// 3. Place center of camera on the same line with center of bounding
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// box applying corresponding projection asymmetry (if any).
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Standard_Real anAssymXv = anAssymX * aViewSizeXv * 0.5;
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Standard_Real anAssymYv = anAssymY * aViewSizeYv * 0.5;
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Standard_Real anOffsetXv = (aFitDistance (2) - aFitDistance (1)) * 0.5 + anAssymXv;
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Standard_Real anOffsetYv = (aFitDistance (4) - aFitDistance (3)) * 0.5 + anAssymYv;
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gp_Vec aTranslateSide = gp_Vec (aCamSide) * anOffsetXv;
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gp_Vec aTranslateUp = gp_Vec (aCamUp) * anOffsetYv;
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gp_Pnt aCamNewCenter = aBndCenter.Translated (aTranslateSide).Translated (aTranslateUp);
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gp_Trsf aCenterTrsf;
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aCenterTrsf.SetTranslation (theCamera->Center(), aCamNewCenter);
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theCamera->Transform (aCenterTrsf);
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theCamera->SetDistance (aFitDistance (6) + aFitDistance (5));
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// Bounding box collapses to a point or thin line going in depth of the screen
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if (aViewSizeXv < theResolution && aViewSizeYv < theResolution)
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{
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if (aViewSizeXv < theResolution || !theToEnlargeIfLine)
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{
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return Standard_True; // This is just one point or line and zooming has no effect.
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}
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// Looking along line and "theToEnlargeIfLine" is requested.
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// Fit view to see whole scene on rotation.
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aViewSizeXv = aViewSizeZv;
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aViewSizeYv = aViewSizeZv;
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}
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Scale (theCamera, aViewSizeXv, aViewSizeYv);
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const Standard_Real aZoomCoef = myView->ConsiderZoomPersistenceObjects();
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Scale (theCamera, theCamera->ViewDimensions().X() * (aZoomCoef + theMargin), theCamera->ViewDimensions().Y() * (aZoomCoef + theMargin));
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return Standard_True;
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}
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