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 ...
Extremal surfaces are a class of implicit surfaces that have been found useful in a variety of geometry reconstruction applications. Compared to iso-surfaces, extremal surfaces ar...
Ruosi Li, Lu Liu, Ly Phan, Sasakthi S. Abeysinghe,...
This paper describes a new spline formulation that supports deformation of polygonal shapes into smooth spline surface models. Once a polygonal shape with underlying rectangular t...
Chiew-Lan Tai, Kia-Fock Loe, Brian A. Barsky, Yim-...
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...