Efficient Isosurface Visualization of Implicit Functions.

Abstract: Isosurface visualization is an important problem in computer graphics, with applications in elds such as medical imaging, uid dynamics and chemistry. A very natural application for isosurface visualization is found in scienti c visualization software, where ecient visualization of implicit functions is of great importance. This paper proposes an ecient algorithm for visualizing threedimensional isosurfaces of implicit functions in real time, with topology guarantees, subject to constraints, and optimally with regard to some error measure. An implementation of the algorithm in the open source interactive geometry software GeoGebra is discussed and analyzed.