Also presented is an efficient method for fast curve generation through combination of line segments resulting from the explicit surface intersection method. An indexing structure is used to accelerate access and matching of intersection line segments to be combined into closed or open curves.
The presented methods have been used to identify and visualize nodal lines in 3D quantum and wave chaos data. These data are represented by a volume of complex values and a nodal line is a connected curve where the complex iso-value ziso = 0 + i0. This type of chaos is believed to represent physical phenomena present in; for example; quantum mechanics; microwaves; fibre optics; and acoustics.
CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modelingâ€”Boundary representations; Geometric algorithms; I.3.6 [Computer Graphics]: Methodology and Techniquesâ€”Graphics data structures.
Keywords: Intersection curves; Isosurfaces; Surface intersection; Feature Detection; Nodal lines visualization; Complex 3D fields