???Unity????????

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1.?????????

2.??????? ???????3D??2D ??????

3.???????????????????Y???

???Unity Connect??????????????????Unity??????????

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?????????????? z(i,j,k+1) ? ????+?????+????

???? *= (4-8*c^2*t^2/d^2/d^2)/(u*t)

????? *= (ut-2) / (ut + 2)

???? *= (2c^2t^2/d^2) / (ut + 2)

???????? c ??? u ??, d ??????, t ?????

???????????

????????????Unity Wiki?????????????wiki???????????

https://wiki.unity3d.com/index.php/CreatePlane

???????????10???10????100??????????????????????????????????3???????????????????

1. m_waterWaveMarkTexture = new RenderTexture(WaveTextureResolution, WaveTextureResolution, 0, RenderTextureFormat.Default);
   
2.         m_waterWaveMarkTexture.name = "m_waterWaveMarkTexture";
   
3.         m_waveTransmitTexture = new RenderTexture(WaveTextureResolution, WaveTextureResolution, 0, RenderTextureFormat.Default);
   
4.         m_waveTransmitTexture.name = "m_waveTransmitTexture";
   
5.         m_prevWaveMarkTexture = new RenderTexture(WaveTextureResolution, WaveTextureResolution, 0, RenderTextureFormat.Default);
   
6.         m_prevWaveMarkTexture.name = "m_prevWaveMarkTexture";

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????????

1. void WaterPlaneCollider()
   
2.     {
   
3.         hasHit = false;
   
4. if (Input.GetMouseButton(0))
   
5.         {
   
6.             Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
   
7.             RaycastHit hitInfo = new RaycastHit();
   
8. bool ret = Physics.Raycast(ray.origin, ray.direction, out hitInfo);
   
9. if (ret)
   
10.             {
    
11.                 Vector3 waterPlaneSpacePos = WaterPlane.transform.worldToLocalMatrix * new Vector4(hitInfo.point.x, hitInfo.point.y, hitInfo.point.z, 1);
    
12. 
    
13. float dx = (waterPlaneSpacePos.x / WaterPlaneWidth) + 0.5f;
    
14. float dy = (waterPlaneSpacePos.z / WaterPlaneLength) + 0.5f;
    
15. 
    
16.                 hitPos.Set(dx, dy);
    
17.                 m_waveMarkParams.Set(dx, dy, WaveRadius * WaveRadius, WaveHeight);
    
18. 
    
19.                 hasHit = true;
    
20.             }
    
21.         }
    
22.     }

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??????Raycast ??????????????????????? [0-1] ??????????uv?????? m_waterWaveMarkTexture ????? ???????? world2Local ???????? ???CreatePlane?????Pivot ?????????????1????????[-0.5,0.5]????????? + 0.5???

??????Shader

1. float dx = i.uv.x - _WaveMarkParams.x;
   
2. float dy = i.uv.y - _WaveMarkParams.y;
   
3. 
   
4. float disSqr = dx * dx + dy * dy;
   
5. 
   
6. int hasCol = step(0, _WaveMarkParams.z - disSqr);
   
7. 
   
8. float waveValue = DecodeHeight(tex2D(_MainTex, i.uv));
   
9. 
   
10. if (hasCol == 1) {
    
11. waveValue = _WaveMarkParams.w;
    
12.                 }

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?????_WaveMarkParams.xy ???uv ?????????????????????

????Shader

1. static const float2 WAVE_DIR[4] = { float2(1, 0), float2(0, 1), float2(-1, 0), float2(0, -1) };
   
2. 
   
3. float dx = _WaveTransmitParams.w;
   
4. 
   
5. float avgWaveHeight = 0;
   
6. for (int s = 0; s < 4; s++)
   
7.                 {
   
8.                     avgWaveHeight += DecodeHeight(tex2D(_MainTex, i.uv + WAVE_DIR[s] * dx));
   
9.                 }
   
10. 
    
11. //(2 * c^2 * t^2 / d ^2) / (u * t + 2)*(z(x + dx, y, t) + z(x - dx, y, t) + z(x, y + dy, t) + z(x, y - dy, t);
    
12. float agWave = _WaveTransmitParams.z * avgWaveHeight;
    
13. 
    
14. // (4 - 8 * c^2 * t^2 / d^2) / (u * t + 2)
    
15. float curWave = _WaveTransmitParams.x *  DecodeHeight(tex2D(_MainTex, i.uv));
    
16. // (u * t - 2) / (u * t + 2) * z(x,y,z, t - dt) ?????? t - dt
    
17. float prevWave = _WaveTransmitParams.y * DecodeHeight(tex2D(_PrevWaveMarkTex, i.uv));
    
18. 
    
19. //???
    
20. float waveValue = (curWave + prevWave + agWave) * _WaveAtten;

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????????????????????????????ES3.0 ???

1. v2f vert (appdata v)
   
2. {
   
3. v2f o;
   
4. 
   
5. float4 localPos = v.vertex;
   
6. float4 waveTransmit = tex2Dlod(_WaveResult, float4(v.uv, 0, 0));
   
7. float waveHeight = DecodeFloatRGBA(waveTransmit);
   
8. 
   
9. localPos.y += waveHeight * _WaveScale;
   
10. 
    
11. float3 worldPos = mul(unity_ObjectToWorld, localPos);
    
12. float3 worldSpaceNormal = mul(unity_ObjectToWorld, v.normal);
    
13. float3 worldSpaceViewDir = UnityWorldSpaceViewDir(worldPos);
    
14. 
    
15. o.vertex = mul(UNITY_MATRIX_VP, float4(worldPos, 1));
    
16. o.uv = v.uv;
    
17. o.worldSpaceReflect = reflect(-worldSpaceViewDir, worldSpaceNormal);
    
18. return o;

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* ????????????

https://en.wikipedia.org/wiki/Wave_equation

https://www.amazon.com/Mathematics-Programming-Computer-Graphics-Third/dp/1435458869 ?? ??

???dreamfairy  
???Unity????
????https://mp.weixin.qq.com/s/-sL54xgyX6mVMnVOMHnpVg