To understand a Signed Distance Function (SDF), imagine a circle with radius R and center at [0,0]. The equation of its boundary is x^2+y^2=R^2. Rearrange it to x^2+y^2−R^2=0. This represents the SDF, where f(x,y)=0 defines the boundary. The function f(x,y)0 represents points outside. Essentially, the SDF indicates how far a point is from the boundary, with the sign showing whether it's inside or outside. You can also write a similar equation for a sphere, but SDF algorithms allow you to do this for any arbitrary geometry.
To understand a Signed Distance Function (SDF), imagine a circle with radius R and center at [0,0]. The equation of its boundary is x^2+y^2=R^2. Rearrange it to x^2+y^2−R^2=0. This represents the SDF, where f(x,y)=0 defines the boundary. The function f(x,y)0 represents points outside. Essentially, the SDF indicates how far a point is from the boundary, with the sign showing whether it's inside or outside. You can also write a similar equation for a sphere, but SDF algorithms allow you to do this for any arbitrary geometry.
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