geometriimplicit
Geometriimplicit is a term used to describe the representation and study of geometric objects through implicit equations and relations rather than explicit parametric descriptions. In this view, a shape is defined as the locus of points satisfying one or more equations F(x, y, z) = 0 or similar, or by a potential field where the surface is a level set.
Mathematically, geometriimplicit encompasses implicit surface modeling, level-set methods, and algebraic varieties. It emphasizes algebraic or differential
Historically, implicit representations have long been studied in algebraic geometry and differential geometry, and they have
Advantages include robustness in handling topological changes, resolution independence, and ease of performing boolean operations on
Applications span computer-aided design, 3D modeling, medical imaging, reverse engineering, and robotics. Common examples range from