In the field of computer-assisted cartography, cartographic generalization is one of the basic
theories and methods of cartography. It is not only an abstract cognition of objective world, …

Reeb graphs are a fundamental data structure for understanding and representing the
topology of shapes. They are used in computer graphics, solid modeling, and visualization for …

Generalization is the task of producing multiple maps, of a different scale or purpose, from a
single detailed data source. The field of generalization can be split into model generalization …

Many applications require the extraction of isolines and isosurfaces from scalar functions
defined on regular grids. These scalar functions may have many different origins: from MRI and …

We segment the stabilization region in a simulation of a lifted jet flame based on its topology
induced by the Y OH field. Our segmentation method yields regions that correspond to the …

Resampling raw surface meshes is one of the most fundamental operations used by nearly
all digital geometry processing systems. The vast majority of this work has focused on …

We propose a novel technique for building geometry-preserving topological landscapes.
Our technique creates a direct correlation between a scalar function and its topological …

Multi-view Stereo (MVS) meshes suffer from occlusions or missing data, making most
surface reconstruction methods invalid. Due to data imperfections, existing methods, just like …

Topological landscapes have been proposed as a visual metaphor for contour trees that does
not require an understanding of the theory involved in defining contour trees. The idea is …

Given a set of roads in the plane with assigned speed, a traveler is assumed to move at the
specified speed along each road, and at unit speed out of the roads. We are interested in the …