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Merge pull request #37 from squarefk/ampm
2D/3D level set/dynamic level set for MPM
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,59 @@ | ||
| /******************************************************************************* | ||
| Taichi - Physically based Computer Graphics Library | ||
| Copyright (c) 2017 Yu Fang <squarefk@gmail.com> | ||
| All rights reserved. Use of this source code is governed by | ||
| the MIT license as written in the LICENSE file. | ||
| *******************************************************************************/ | ||
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| #include "dynamic_levelset_2d.h" | ||
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| TC_NAMESPACE_BEGIN | ||
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| void DynamicLevelSet2D::initialize(real _t0, real _t1, const LevelSet2D &_ls0, const LevelSet2D &_ls1) { | ||
| t0 = _t0; | ||
| t1 = _t1; | ||
| levelset0 = std::make_shared<LevelSet2D>(_ls0); | ||
| levelset1 = std::make_shared<LevelSet2D>(_ls1); | ||
| } | ||
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| Vector2 DynamicLevelSet2D::get_spatial_gradient(const Vector2 &pos, real t) const { | ||
| Vector2 gxy0 = levelset0->get_gradient(pos); | ||
| Vector2 gxy1 = levelset1->get_gradient(pos); | ||
| real gx = lerp((t - t0) / (t1 - t0), gxy0.x, gxy1.x); | ||
| real gy = lerp((t - t0) / (t1 - t0), gxy0.y, gxy1.y); | ||
| Vector2 gradient = Vector2(gx, gy); | ||
| if (length(gradient) < 1e-10f) | ||
| return Vector2(1, 0); | ||
| else | ||
| return normalize(gradient); | ||
| } | ||
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| real DynamicLevelSet2D::get_temporal_derivative(const Vector2 &pos, real t) const { | ||
| real l1 = levelset0->get(pos); | ||
| real l0 = levelset1->get(pos); | ||
| return (l1 - l0) / (t1 - t0); | ||
| } | ||
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| real DynamicLevelSet2D::sample(const Vector2 &pos, real t) const { | ||
| real l1 = levelset0->sample(pos); | ||
| real l2 = levelset1->sample(pos); | ||
| return lerp((t - t0) / (t1 - t0), l1, l2); | ||
| } | ||
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| Array2D<real> DynamicLevelSet2D::rasterize(int width, int height, real t) { | ||
| Array2D<real> r0 = levelset0->rasterize(width, height); | ||
| Array2D<real> r1 = levelset1->rasterize(width, height); | ||
| Array2D<real> out(width, height); | ||
| for (auto &ind : Region2D(0, width, 0, height, Vector2(0.5f, 0.5f))) { | ||
| out[ind] = lerp((t - t0) / (t1 - t0), r0[ind], r1[ind]); | ||
| if (std::isnan(out[ind])) { | ||
| out[ind] = std::numeric_limits<real>::infinity(); | ||
| } | ||
| } | ||
| return out; | ||
| } | ||
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| TC_NAMESPACE_END |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,37 @@ | ||
| /******************************************************************************* | ||
| Taichi - Physically based Computer Graphics Library | ||
| Copyright (c) 2017 Yu Fang <squarefk@gmail.com> | ||
| All rights reserved. Use of this source code is governed by | ||
| the MIT license as written in the LICENSE file. | ||
| *******************************************************************************/ | ||
|
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| #pragma once | ||
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| #include <limits> | ||
| #include <memory> | ||
| #include <taichi/math/levelset_2d.h> | ||
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| TC_NAMESPACE_BEGIN | ||
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| class DynamicLevelSet2D { | ||
| public: | ||
| real t0, t1; | ||
| std::shared_ptr<LevelSet2D> levelset0, levelset1; | ||
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| void initialize(real _t0, real _t1, const LevelSet2D &_ls0, const LevelSet2D &_ls1); | ||
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| Vector2 get_spatial_gradient(const Vector2 &pos, real t) const; | ||
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| real get_temporal_derivative(const Vector2 &pos, real t) const; | ||
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| real sample(const Vector2 &pos, real t) const; | ||
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| Array2D<real> rasterize(int width, int height, real t); | ||
| }; | ||
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| TC_NAMESPACE_END | ||
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,60 @@ | ||
| /******************************************************************************* | ||
| Taichi - Physically based Computer Graphics Library | ||
| Copyright (c) 2017 Yu Fang <squarefk@gmail.com> | ||
| All rights reserved. Use of this source code is governed by | ||
| the MIT license as written in the LICENSE file. | ||
| *******************************************************************************/ | ||
|
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| #include "dynamic_levelset_3d.h" | ||
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| TC_NAMESPACE_BEGIN | ||
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| void DynamicLevelSet3D::initialize(real _t0, real _t1, const LevelSet3D &_ls0, const LevelSet3D &_ls1) { | ||
| t0 = _t0; | ||
| t1 = _t1; | ||
| levelset0 = std::make_shared<LevelSet3D>(_ls0); | ||
| levelset1 = std::make_shared<LevelSet3D>(_ls1); | ||
| } | ||
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| Vector3 DynamicLevelSet3D::get_spatial_gradient(const Vector3 &pos, real t) const { | ||
| Vector3 gxyz0 = levelset0->get_gradient(pos); | ||
| Vector3 gxyz1 = levelset1->get_gradient(pos); | ||
| real gx = lerp((t - t0) / (t1 - t0), gxyz0.x, gxyz1.x); | ||
| real gy = lerp((t - t0) / (t1 - t0), gxyz0.y, gxyz1.y); | ||
| real gz = lerp((t - t0) / (t1 - t0), gxyz0.z, gxyz1.z); | ||
| Vector3 gradient = Vector3(gx, gy, gz); | ||
| if (length(gradient) < 1e-10f) | ||
| return Vector3(1, 0, 0); | ||
| else | ||
| return normalize(gradient); | ||
| } | ||
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| real DynamicLevelSet3D::get_temporal_derivative(const Vector3 &pos, real t) const { | ||
| real l0 = levelset0->get(pos); | ||
| real l1 = levelset1->get(pos); | ||
| return (l1 - l0) / (t1 - t0); | ||
| } | ||
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| real DynamicLevelSet3D::sample(const Vector3 &pos, real t) const { | ||
| real l1 = levelset0->get(pos); | ||
| real l2 = levelset1->get(pos); | ||
| return lerp((t - t0) / (t1 - t0), l1, l2); | ||
| } | ||
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| Array3D<real> DynamicLevelSet3D::rasterize(int width, int height, int depth, real t) { | ||
| Array3D<real> r0 = levelset0->rasterize(width, height, depth); | ||
| Array3D<real> r1 = levelset1->rasterize(width, height, depth); | ||
| Array3D<real> out(width, height, width); | ||
| for (auto &ind : Region3D(0, width, 0, height, 0, depth, Vector3(0.5f, 0.5f, 0.5f))) { | ||
| out[ind] = lerp((t - t0) / (t1 - t0), r0[ind], r1[ind]); | ||
| if (std::isnan(out[ind])) { | ||
| out[ind] = std::numeric_limits<real>::infinity(); | ||
| } | ||
| } | ||
| return out; | ||
| } | ||
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| TC_NAMESPACE_END |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,37 @@ | ||
| /******************************************************************************* | ||
| Taichi - Physically based Computer Graphics Library | ||
| Copyright (c) 2017 Yu Fang <squarefk@gmail.com> | ||
| All rights reserved. Use of this source code is governed by | ||
| the MIT license as written in the LICENSE file. | ||
| *******************************************************************************/ | ||
|
|
||
| #pragma once | ||
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| #include <limits> | ||
| #include <memory> | ||
| #include <taichi/math/levelset_3d.h> | ||
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| TC_NAMESPACE_BEGIN | ||
|
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| class DynamicLevelSet3D { | ||
| public: | ||
| real t0, t1; | ||
| std::shared_ptr<LevelSet3D> levelset0, levelset1; | ||
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| void initialize(real _t0, real _t1, const LevelSet3D &_ls0, const LevelSet3D &_ls1); | ||
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| Vector3 get_spatial_gradient(const Vector3 &pos, real t) const; | ||
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| real get_temporal_derivative(const Vector3 &pos, real t) const; | ||
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| real sample(const Vector3 &pos, real t) const; | ||
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| Array3D<real> rasterize(int width, int height, int depth, real t); | ||
| }; | ||
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| TC_NAMESPACE_END | ||
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