A surface defined by an equation in the form of . The surface itself is defined by the set of zeros of such a function. Implicit surfaces are infinitely scalable, and are much more smooth / "blobby" than surfaces defined explicitly by vertices and faces. However, they are more difficult and computationally expensive to render, requiring an algorithm like raymarching or marching cubes in order to represent the surface on a 2D screen.

Examples of implicit surface equations:

Surface	Equation
Plane
Sphere
Torus
Surface of genus 2
Surface of revolution

Articles:

• Implicit surface on Wikipedia
• Implicit surfaces by Paul Bourke
• Implicit surface a.k.a (signed) distance field: definition by Rodolphe Vaillant

Notable software:

• K3DSurf