The (signed) distance to f(x,y)=0 can be approximated by d=f/|∇f|. Let the offset be o, the implicit equation of the offset curve can be written as f/|∇f|=o, or f²=o²·∇²f.
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Quadratic Curve Example
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Trigonometric Curve Example
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Quartic Curve Example (doesn't work well)
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Some division-by-gradient examples in 1D
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Offsetting Explicit Curves: Convert to either explicit or parametric
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Usually, implicit is faster, but parametric has a better quality
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Explicit Example: Exponential
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[Interactive] Sine
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Calculus: Fundamental Theorem of Calculus
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