3 papers
cs.CG2024
Topological Simplifcation of Jacobi Sets for Piecewise-Linear Bivariate 2D Scalar Fields with Adjustment of the Underlying Data
Felix Raith, Gerik Scheuermann, Christian Heine
Jacobi sets are an important tool to study the relationship between functions. Defined as the set of all points where the function's gradients are linearly dependent, Jacobi sets e…
cs.HC2023
A Mathematical Foundation for the Spatial Uncertainty of Critical Points in Probabilistic Scalar Fields
Dominik Vietinghoff, Michael Böttinger, Gerik Scheuermann +1
Critical points mark locations in the domain where the level-set topology of a scalar function undergoes fundamental changes and thus indicate potentially interesting features in t…
cs.CG2023
Fast Fiber Line Extraction for 2D Bivariate Scalar Fields
Felix Raith, Baldwin Nsonga, Gerik Scheuermann +1
Extracting level sets from scalar data is a fundamental operation in visualization with many applications. Recently, the concept of level set extraction has been extended to bivari…