Interactive Polygonisation for Function-based Modelling

This paper addresses interactive function-based shape modelling. Interactive modification of the function model with concurrent visualization of the respective polygonal mesh lets us provide both the interactivity and any required level of detail leading to photo-realistic appearance of the resulting shapes. We have proposed an interactive visualisation method capable of handling local shape modifications with any desired precision. We illustrate the implementation of the proposed visualisation method on the example of the interactive function-based artistic shape modelling.

[1]  Alexei Sourin,et al.  Functionally based virtual computer art , 2001, I3D '01.

[2]  Jules Bloomenthal,et al.  An Implicit Surface Polygonizer , 1994, Graphics Gems.

[3]  Samir Akkouche,et al.  Incremental Polygonization of Implicit Surfaces , 2000, Graph. Model..

[4]  Alexei Sourin.  Functionally based virtual embossing , 2001, The Visual Computer.

[5]  Alexander A. Pasko,et al.  Fast navigation through an FRep sculpture garden , 2001, Proceedings International Conference on Shape Modeling and Applications.

[6]  Samir Akkouche,et al.  Adaptive Implicit Surface Polygonization Using Marching Triangles , 2001, Comput. Graph. Forum.

[7]  Enrico O. Purisima,et al.  A new tetrahedral tesselation scheme for isosurface generation , 1998, Comput. Graph..

[8]  Eduard Gröller,et al.  Optimal regular volume sampling , 2001, Proceedings Visualization, 2001. VIS '01..

[9]  Brian Wyvill,et al.  Introduction to Implicit Surfaces , 1997 .

[10]  Vaclav Skala.  PRECISSION OF ISO-SURFACE EXTRACTION FROM VOLUME DATA AND VISUALIZATION , 2000 .

[11]  Alexei Sourin,et al.  Function-defined shape node for VRML , 2002, Eurographics.

[12]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[13]  A. James Stewart,et al.  Curvature-Dependent Triangulation of Implicit Surfaces , 2001, IEEE Computer Graphics and Applications.

[14]  Erich Hartmann,et al.  A marching method for the triangulation of surfaces , 1998, The Visual Computer.