Declaration

TGourandShadedDelaunayTrianglesSampler = class(TCustomArbitrarySparsePointGradientSampler)

Description

TGourandShadedDelaunayTrianglesSampler samples smooth color gradients across irregular 2D point clouds using Delaunay triangulation and Gouraud triangle shading.

Mathematics & Algorithm

TGourandShadedDelaunayTrianglesSampler constructs a Delaunay triangulation network over input point sets $P_i$.

For any sampling point $P$:

1. The enclosing triangle $(P_1,P_2,P_3)$ is located.
2. Gouraud shading is performed across the triangle using barycentric color interpolation:

$$C(P)={\lambda }_1{C}_1+{\lambda }_2{C}_2+{\lambda }_3{C}_3$$

References

• Delaunay Triangulation - Wikipedia
• Gouraud Shading - Wikipedia