Computer Graphics  
Lecture 07 Shadows  
Edirlei Soares de Lima  
<edirlei.lima@universidadeeuropeia.pt>  
Shadows  
Shadows appear when light rays are blocked: when an object  
is between a light source and another object. It prevents the  
light rays from reaching the other object.  
The fist object casts a shadow on the second one.  
Shadows in Computer Graphics  
In ray tracing rendering, shadows can be added very easily:  
Light comes from some direction l;  
When computing the color of a point p on a surface, the point is in  
shadow if we cast a ray in direction l and it hits an object. Otherwise,  
the object is not in a shadow.  
How to implement shadows in  
rasterized renderings?  
Shadow Mapping!  
Shadow Mapping  
Basic idea: if we looked our scene from the view point of the  
light source, all of the objects that we can see would appear  
in light. Anything behind those objects, however, would be in  
shadow.  
Shadow Mapping  
Algorithm:  
Step 1: render the scene from the light's point of view (without  
calculating light, color or any other shading process).  
Step 2: extract and save (usually in a texture) the depth buffer from  
the rendering (z-buffer generated by the projection process).  
This texture is called shadow map. If there are multiple lights, a separate  
depth map must be used for each light.  
Step 3: perform a normal rendering pass, and when evaluating  
whether a fragment is visible to the light source, project its location in  
the shadow map and compare the looked-up value dmap with the  
actual distance d to the light source.  
If the distances are the same, the fragment’s point is illuminated; if the d > dmap,  
that implies there is a different surface closer to the source, so it is shadowed.  
Shadow Mapping Shader  
In order to implement shadow mapping in a Unity shader, we  
need to implement two processes:  
Cast Shadows: implement a special pass (ShadowCaster) in the shader  
to produce the depth data when rendering the scene from the light's  
point of view.  
When Unity detects this pass in a Shader, it automatically renders the object in the  
shadow map.  
Receive Shadows: modify the vertex and fragment programs of the  
shader in order to access the shadow map, verify which fragments are  
shadowed, and compute their colors appropriately.  
Shadow Mapping Shader  
Cast Shadows:  
SubShader{  
Pass{  
Tags{"LightMode" = "ForwardBase"}  
...  
}
Pass{  
Tags{"LightMode" = "ForwardAdd"}  
..  
.
}
Pass{  
Tags{"LightMode" = "ShadowCaster"}  
CGPROGRAM  
#
#
#
#
pragma target 3.0  
pragma vertex MyShadowVertexProgram  
pragma fragment MyShadowFragmentProgram  
include "ShadowsShader.cginc"  
ENDCG  
}
}
Shadow Mapping Shader  
Cast Shadows:  
#
#
if !defined(SHADOWSSHADER_INCLUDED)  
define SHADOWSSHADER_INCLUDED  
#include "UnityCG.cginc"  
struct VertexData{  
float4 position : POSITION;  
Using the standard shader on the  
ground to visualize the shadows.  
};  
float4 MyShadowVertexProgram(VertexData vert) : SV_POSITION{  
return UnityObjectToClipPos(vert.position);  
}
float4 MyShadowFragmentProgram() : SV_TARGET {  
return 0;  
}
#endif  
Shadow Mapping Shader  
Cast Shadows (bias light setting to control shadow distance):  
#
#
if !defined(SHADOWSSHADER_INCLUDED)  
define SHADOWSSHADER_INCLUDED  
#include "UnityCG.cginc"  
struct VertexData {  
float4 position : POSITION;  
float3 normal : NORMAL;  
};  
float4 MyShadowVertexProgram(VertexData vert) : SV_POSITION{  
float4 position = UnityClipSpaceShadowCasterPos(vert.position.xyz,  
vert.normal);  
return UnityApplyLinearShadowBias(position);  
}
float4 MyShadowFragmentProgram() : SV_TARGET {  
return 0;  
}
#endif  
Shadow Mapping Shader  
Receive Shadows:  
Pass{  
Tags{"LightMode" = "ForwardBase"}  
CGPROGRAM  
#
#
.
pragma target 3.0  
pragma multi_compile _ SHADOWS_SCREEN  
..  
}
struct VertexToFragment {  
...  
#
if defined(SHADOWS_SCREEN)  
float4 shadowcoords : TEXCOORD2;  
endif  
#
Used to store the screen-space  
coordinates of shadow map.  
};  
Shadow Mapping Shader  
Receive Shadows:  
VertexToFragment MyVertexProgram(VertexData vert){  
...  
#if defined(SHADOWS_SCREEN)  
v2f.shadowcoords = ComputeScreenPos(v2f.position);  
endif  
#
.
Computes the screen-space  
..  
coordinates of the shadow map  
based on the vertex position.  
}
UnityLight CreateLight(VertexToFragment v2f) {  
Access the shadow  
map values  
...  
#if defined(SHADOWS_SCREEN)  
(
_ShadowMapTexture).  
float attenuation = tex2D(_ShadowMapTexture,  
v2f.shadowcoords.xy / v2f.shadowcoords.w);  
#else  
UNITY_LIGHT_ATTENUATION(attenuation, 0, v2f.worldpos);  
#endif  
light.color = _LightColor0.rgb * attenuation; Multiplies the light  
...  
color by the attenuation  
factor (shadow map).  
}
Shadow Mapping Shader  
Screen-Space Shadow Map  
Shadow Map  
Rendered Scene  
Shadow Mapping Shader  
Add support to multiple shadows (directional lights):  
Pass{  
Tags{"LightMode" = "ForwardBase"}  
CGPROGRAM  
#
#
.
pragma target 3.0  
pragma multi_compile_fwdadd_fullshadows  
..  
}
Pass{  
Tags{"LightMode" = "ForwardAdd"}  
Blend One One  
ZWrite Off  
CGPROGRAM  
#
#
.
pragma target 3.0  
pragma multi_compile_fwdadd_fullshadows  
..  
}
Shadow Mapping Frame Debbuger  
Shadow Mapping Frame Debbuger  
Shadow Map Light 1  
Shadow Map Light 2  
Unity Shadows Settings  
Shadow quality settings: Edit -> Project Settings -> Quality  
Shadow settings per light:  
Unity Shadow Maps  
By default, Unity renders the scene four times per light (cascade  
technique). The shadow maps are split into four quadrants,  
each being rendered from a different point of view.  
Shadow Quality  
Hard vs. Soft Shadows:  
Hard Shadows  
Soft Shadows  
Shadow Quality  
Shadow problems:  
Numerical precision limitations (shadow acne):  
No bias  
With bias  
Shadow map resolution:  
No blur  
With Blur  
Shadow Quality  
Cascades Bands:  
Further Reading  
Hughes, J. F., et al. (2013). Computer Graphics: Principles  
and Practice (3rd ed.). Upper Saddle River, NJ: Addison-  
Wesley Professional. ISBN: 978-0-321-39952-6.  
Chapter 15: Ray Casting and Rasterization  
Marschner, S., et al. (2015). Fundamentals of Computer  
Graphics (4th ed.). A K Peters/CRC Press. ISBN: 978-  
1482229394.  
Chapter 11: Texture Mapping  
Web:  
http://catlikecoding.com/unity/tutorials/rendering/part-7/