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61 lines
2.4 KiB
61 lines
2.4 KiB
// David Eberly, Geometric Tools, Redmond WA 98052
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// Copyright (c) 1998-2021
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// Distributed under the Boost Software License, Version 1.0.
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// https://www.boost.org/LICENSE_1_0.txt
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// https://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
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// Version: 4.0.2020.01.11
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#pragma once
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#include <Mathematics/PdeFilter3.h>
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namespace gte
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{
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template <typename Real>
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class CurvatureFlow3 : public PdeFilter3<Real>
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{
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public:
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CurvatureFlow3(int xBound, int yBound, int zBound, Real xSpacing,
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Real ySpacing, Real zSpacing, Real const* data, bool const* mask,
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Real borderValue, typename PdeFilter<Real>::ScaleType scaleType)
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:
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PdeFilter3<Real>(xBound, yBound, zBound, xSpacing, ySpacing,
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zSpacing, data, mask, borderValue, scaleType)
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{
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}
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virtual ~CurvatureFlow3()
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{
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}
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protected:
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virtual void OnUpdateSingle(int x, int y, int z) override
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{
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this->LookUp27(x, y, z);
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Real ux = this->mHalfInvDx * (this->mUpzz - this->mUmzz);
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Real uy = this->mHalfInvDy * (this->mUzpz - this->mUzmz);
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Real uz = this->mHalfInvDz * (this->mUzzp - this->mUzzm);
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Real uxx = this->mInvDxDx * (this->mUpzz - (Real)2 * this->mUzzz + this->mUmzz);
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Real uxy = this->mFourthInvDxDy * (this->mUmmz + this->mUppz - this->mUpmz - this->mUmpz);
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Real uxz = this->mFourthInvDxDz * (this->mUmzm + this->mUpzp - this->mUpzm - this->mUmzp);
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Real uyy = this->mInvDyDy * (this->mUzpz - (Real)2 * this->mUzzz + this->mUzmz);
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Real uyz = this->mFourthInvDyDz * (this->mUzmm + this->mUzpp - this->mUzpm - this->mUzmp);
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Real uzz = this->mInvDzDz * (this->mUzzp - (Real)2 * this->mUzzz + this->mUzzm);
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Real denom = ux * ux + uy * uy + uz * uz;
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if (denom > (Real)0)
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{
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Real numer0 = uy * (uxx*uy - uxy * ux) + ux * (uyy*ux - uxy * uy);
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Real numer1 = uz * (uxx*uz - uxz * ux) + ux * (uzz*ux - uxz * uz);
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Real numer2 = uz * (uyy*uz - uyz * uy) + uy * (uzz*uy - uyz * uz);
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Real numer = numer0 + numer1 + numer2;
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this->mBuffer[this->mDst][z][y][x] = this->mUzzz + this->mTimeStep * numer / denom;
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}
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else
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{
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this->mBuffer[this->mDst][z][y][x] = this->mUzzz;
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}
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}
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};
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}
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