1. Wrapped Diffuse
이민웅
Shader Study

2. Wrapped Diffuse
• 팀 포트리스 2에서 사용
• subsurface scattering, area light source,
더 부드러운 reflectance 를 표현하기 위해
서 Hemisphere(반구)를 감싸는 셰이딩 모
델
Lambert
Wrapped Diffuse

3. Wrapped Diffuse
• HarfLambert 공식과 비슷함
– W=1이면, Half Lambert 공식
• Half Lambert와 유사하게 투과되는 느낌을
표현하는데 많이 사용
– 피부, 나뭇잎, 파티클 라이팅에 주로 사용
기본 Lambert Diffuse 공식
float diffuse = max(0, dot(normal, lightdirection));
기본 HalfLambert Diffuse 공식
float halflambert_term = dot(normal, lightdirection) * 0.5f + 0.5f
Wrapped Diffuse 공식
float diffuse = saturate((dot(normal, lightdirection) + OFFSET) / (1.0+OFFSET ));

4. Wrapped Diffuse
Wrapped SH 자세한 내용
http://blog.selfshadow.com/2011/12/31/righting-wrap-part-1/
http://blog.selfshadow.com/2012/01/07/righting-wrap-part-2/
Wrap Shading
www.iro.umontreal.ca/~derek/files/jgt_wrap.pdf

5. Wrapped Diffuse
• 팀 포트리스 방식
– Wrapped Function은 Half Lambert를 이용해서,
1D Wrapped Diffuse Texture에서 값을 얻어오
는것
– GPU Gems 16. Real-Time Approximation to
Subsurface Scattering
• Wrap Lighting 계산 내용을 미리 Texture로 저장하
여 사용함

6. WarpTex
Lambert
Half Lambert
Warping Function
Squared Half Lambert (Not used)
illuminance( P, n, PI)
{
Ln = normalize(L);
halflambert += .5*(Ln.nf)+.5;
float chl = clamp(halflambert,0.01,1);
accumulateMapColor = texture(warp,chl,0)*2;
hlsw_clrlght += Cl*accumulateMapColor;
}
diffusecolor = albedocolor * (Ka + hlsw_clrlght);
Light Color
Ambient
Albedo
Ka : ambient
Cl : LightColor
http://www.sfdm.scad.edu/faculty/mkesson/vsfx419/wip/spring11/eric_kurzmack/toon.html

7. Specular Fresnel
Mixed Specular
Primary Specularity
Rim Fresnel
Upward Ambient Rim
Final Mix
http://www.sfdm.scad.edu/faculty/mkesson/vsfx419/wip/spring11/eric_kurzmack/toon.html
Rim Specular

8. Code
Specular Fresnel
vector i= normalize(-I);
float fres=spline((nf.i),1,1,1,.95,.6,.6);
Primary Specularity
illuminance( P, n, PI/2)
{
Ln = normalize(L);
vector R = reflect(-Ln,nf);
ridot += clamp(max(0,(R.i)),.01,.99);
phngspec += (1-fres)*pow(ridot,specE);
}
Mixed Specular
illuminance( P, n, PI/2)
{
Ln = normalize(L);
vector R = reflect(-Ln,nf);
vector R2 = reflect(Ln,nf);
ridot += clamp(max(0,(R.i)),.01,.99);
ridot2 += clamp(max(0,(R2.i)),.01,.99);
phngspec += (1-fres)*pow(ridot,specE);
phngrim += rimfres*pow(ridot2,Krim);
phngmix += Cl*Ks*(max(phngrim,phngspec)*2);
}
speccolor = phngmix;
Rim Fresnel
vector i= normalize(-I);
float rimfres=pow((1-(nf.i)),2);
vector i= normalize(-I);
Upward Ambient Rim
float upward = clamp((nf.vector(0,1,0)),0,1);
float uprim= upward*rimfres*Kr*(Ka*5);
Rim Specular
illuminance( P, n, PI/2)
{
Ln = normalize(L);
vector R2 = reflect(Ln,nf);
ridot2 += clamp(max(0,(R2.i)),.01,.99);
phngrim += rimfres*pow(ridot2,Krim);
}
Final Mix
Ci = Oi*(diffusecolor+speccolor+uprim);

9. Q&A

10. 참고자료
• Wrap Shading :
http://www.iro.umontreal.ca/~derek/publication8.html
• Energy-Conserving Wrapped Diffuse
• Wrapped Diffuse와 팀포트리스 셰이딩 :
http://cagetu.egloos.com/5621806
• 팀포트리스 셰이딩 따라해보기 :
http://cagetu.egloos.com/4212681
• Energy Conservation in Games :
http://www.rorydriscoll.com/2009/01/25/energyconservation-in-games/
• http://www.gamedevforever.com/150
• http://cagetu.egloos.com/5621806