Implicit Modeling

nTop takes a fundamentally different approach from traditional CAD systems through implicit modeling. Instead of defining objects by their boundaries, implicit modeling represents geometry using mathematical functions called distance fields. 

A distance field is a function that, for any point in space, returns the shortest distance to the surface of an object. Points inside the object have negative distances, points outside have positive distances, and points exactly on the surface have zero distance.

This mathematical foundation provides several key advantages. First, it enables the creation of complex geometries through simple mathematical operations. Boolean operations like union, intersection, and subtraction become straightforward mathematical functions rather than complex geometric calculations. Second, it allows for smooth blending and transitions between different geometric features, enabling the creation of organic, flowing shapes that would be difficult to achieve with traditional CAD.

Perhaps most importantly, implicit modeling enables field-driven design, where geometry is controlled by mathematical fields that can represent physical phenomena, optimization criteria, or design constraints. This capability allows engineers to create structures that automatically adapt to loading conditions, material properties, or manufacturing constraints.

The parametric nature of nTop’s modeling approach means that designs can be easily modified and iterated. Changes to input parameters automatically propagate through the entire model, enabling rapid design exploration and optimization. This capability is particularly valuable in engineering applications where multiple design variants need to be evaluated quickly.

Furthermore, nTop’s algorithm-driven approach enables the creation of structures that would be practically impossible to model manually. Lattice structures with thousands of individual elements, complex surface textures, or geometries that vary continuously across their extent can all be generated automatically through computational methods.