Interactive Curvature Tensor Visualization on Digital Surfaces

Interactive visualization is a very convenient tool to explore complex scientific data or to try different parameter settings for a given processing algorithm. In this article, we present a tool to efficiently analyze the curvature tensor on the boundary of potentially large and dynamic digital objects (mean and Gaussian curvatures, principal curvatures, principal directions and normal vector field). More precisely, we combine a fully parallel pipeline on GPU to extract an adaptive triangulated isosurface of the digital object, with a curvature tensor estimation at each surface point based on integral invariants. Integral invariants being parametrized by a given ball radius, our proposal allows to explore interactively different radii and thus select the appropriate scale at which the computation is performed and visualized.

Discrete Geometry for Computer Imagery - 19th IAPR International Conference, DGCI 2016, Nantes, France, April 18-20, 2016. Proceedings, 282–294, volume 9647 of Lecture Notes in Computer Science, 2016