What type of part modeling creates a representation of every point within the part?

Implicit modeling creates a representation of every point within a part by using mathematical functions to define shapes and geometries. This method focuses on the space occupied by the object rather than the surfaces that make it up. Implicit modeling often takes advantage of techniques like implicit surfaces or level sets, where the boundaries of the object are defined by equations, allowing for complex geometries and smooth transitions without the need to explicitly define each surface.

Unlike parametric and explicit modeling, which rely on defining surfaces and requiring a more manual approach to create or modify geometries, implicit modeling dynamically captures the entire volume. It is particularly beneficial in scenarios where smooth transitions and complex organic shapes are needed, making it suitable for applications in fields like computer graphics and simulation where a complete volumetric representation is advantageous.

In contrast, parametric modeling is about creating relationships between variables to drive changes in the model, explicit modeling is focused on defining surfaces and constraints directly, and sketch modeling typically revolves around creating 2D sketches that form the basis for 3D shapes. These approaches do not encompass the internal representation of every point within the part as directly and comprehensively as implicit modeling does.