A geometrical modelling tool allowing construction of models of living cells and their organelles would facilitate understanding of biological processes at the cellular level. Her...
We introduce a new approach to mesh an animated implicit surface for rendering. Our contribution is a method which solves stability issues of implicit triangulation, in the scope ...
A novel method of hierarchical implicit modeling is presented, in which an implicit object is modeled by using a hierarchy of implicit surfaces. The hierarchy provides both layere...
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
This paper describes an incremental polygonization technique for implicit surfaces built from skeletal elements. Our method lends itself for an interactive modeling system as the ...
We present an interactive method of visualizing both manifold and non-manifold implicit surfaces. The implicit surfaces are directly visualized at interactive frame rates independ...
Implicit surfaces in 3D geometric modeling are limited to two manifolds because the corresponding implicit fields are usually defined by real-valued functions which bisect space...
This paper presents a novel paradigm for point set surface editing, which takes advantages of the potential of implicit surfaces, the strength of physics based modeling techniques...
Deformable 3–D models can be represented either as explicit or implicit surfaces. Explicit surfaces, such as triangulations or wire-frame models, are widely accepted in the Comp...
Models of implicit surfaces and curves trimmed by a solid are discussed in the context of dimensionally heterogeneous object modeling. Both a carrier surface and a trimming solid ...
Benjamin Schmitt, Galina Pasko, Alexander A. Pasko...