@Article{weinkauf04b, author = {T.~Weinkauf and H.~Theisel and H.-C.~Hege and H.-P.~Seidel}, title = {Topological Construction and Visualization of Higher Order {3D} Vector Fields}, journal = {Computer Graphics Forum (Proc. Eurographics)}, year = {2004}, volume = {23}, number = {3}, pages = {469--478}, month = {September}, abstract = {We present the first algorithm for constructing 3D vector fields based on their topological skeleton. The skeleton itself is modeled by interactively moving a number of control polygons. Then a piecewise linear vector field is automatically constructed which has the same topological skeleton as modeled before. This approach is based on a complete segmentation of the areas around critical points into sectors of different flow behavior. Based on this, we present the first approach to visualizing higher order critical points of 3D vector fields.}, editor = {M.-P.~Cani and M.~Slater}, keywords = {vector field topology, higher order critical points, 3D flow visualization, separatrices, construction, modeling}, url = {http://tinoweinkauf.net/publications/absweinkauf04b.html}, }