Titlebook: Topological Methods in Data Analysis and Visualization III; Theory, Algorithms, Peer-Timo Bremer,Ingrid Hotz,Ronald Peikert Conference pro

GRUEL

Sinus-Rhythm

Clear and Compress: Computing Persistent Homology in Chunkshe same worst-case complexity bound in a more general context. The algorithm employs several practical optimization techniques, which are of independent interest. Our sequential implementation of the algorithm is competitive with state-of-the-art methods, and we further improve the performance through parallel computation.

轿车

Notes on the Simplification of the Morse-Smale Complexs chapter, we emphasize properties of the two representations that cause these differences. We also provide a complexity analysis of the two schemes with respect to running time and memory consumption.

加花粗鄙人

Myosin

Robust Detection of Singularities in Vector Fieldshe existence of a critical point in a cell of a simplicial mesh for a large class of interpolation functions. These conditions are entirely local and lead to a provably consistent and practical algorithm to identify cells containing singularities.

条街道往前推

Toward the Extraction of Saddle Periodic Orbitsld. We discuss the different existing FTLE approximation schemes regarding their applicability to this specific problem and propose an adapted version of FTLE called .. Finally, we evaluate our method using simple analytic vector field data.