3D Terrain Modeling & TIN Surface Architecture
Constrained Delaunay triangulation, breaklines enforcement, automated contour interpolation, and cut & fill volumetrics.
Constrained Delaunay Triangulation (TIN)
Planar and 3D surface mesh generation honoring topological boundary edges.
Delaunay Invariant Criterion
Triangulation maximizing minimum angles to prevent sliver triangles, ensuring an empty circumcircle for every planar facet.
Enforced Breaklines
Hard and soft breakline constraints: ridge lines, road edges, and embankment toes are strictly preserved as non-crossing triangle edges.
Contour Lines & Volumetric Calculations
Continuous linear interpolation and prismatic volumetric integration.
Automated Contour Interpolation
Analytical derivation of index and intermediate contours directly from the faceted TIN surface at customizable height intervals.
Prismatic Cut & Fill Analysis
Differential surface comparison between existing ground and planned design surfaces via triangular prism volume summation.
Mesh Topology & 3D Export
Faceted boundary representation for interoperable BIM and CAD exchange.
Designed for seamless serialization into LandXML surfaces and openBIM IFC IfcFacetedBrep geometries.
Design Specification Notice
This document describes the architectural design and computational geometry principles for DTM processing. Module release verification resides in the software repository.