Shape Interpolation Using Diffusion Isosurfaces | TU Wien

Information

Publication Type: Bachelor Thesis
Workgroup(s)/Project(s):
- Rendering and Modeling
Date: February 2013
First Supervisor:
- Michael Wimmer
- Stefan Jeschke

Abstract

I present a diffusion based shape interpolation method which is applicable to 2D and 3D surfaces. As input, 2D shapes are represented as diffusion curves, the 3D shapes are simply 3D meshes. The algorithm generates an exact Voronoi diagram of two surfaces along with a distance map, both are stored as textures for further manipulation and lookup. The Voronoi diagram is used as starting point for the iterative color diffusion. After the diffusion step, an isovalue can be applied to the resulting texture. By varying the isovalue, different intermediate surfaces between the two input surfaces arise. In 2D, Diffusion Curves [3] are used as input, whereas in 3D, textured surface meshes as used. This shape interpolation method is applicable to every kind of shape that can be represented by diffusion curves or 3D surface meshes.

Additional Files and Images

Thesis

Weblinks

No further information available.

BibTeX

@bachelorsthesis{Spechtenhauser_Florian_2013_SIU,
  title =      "Shape Interpolation Using Diffusion Isosurfaces",
  author =     "Florian Spechtenhauser",
  year =       "2013",
  abstract =   "I present a diffusion based shape interpolation method which
               is applicable to 2D and 3D surfaces. As input, 2D shapes are
               represented as diffusion curves, the 3D shapes are simply 3D
               meshes.  The algorithm generates an exact Voronoi diagram of
               two surfaces along with a distance map, both are stored as
               textures for further manipulation and lookup. The Voronoi
               diagram is used as starting point for the iterative color
               diffusion. After the diffusion step, an isovalue can be
               applied to the resulting texture. By varying the isovalue,
               different intermediate surfaces between the two input
               surfaces arise. In 2D, Diffusion Curves [3] are used as
               input, whereas in 3D, textured surface meshes as used. This
               shape interpolation method is applicable to every kind of
               shape that can be represented by diffusion curves or 3D
               surface meshes.",
  month =      feb,
  address =    "Favoritenstrasse 9-11/E193-02, A-1040 Vienna, Austria",
  school =     "Institute of Computer Graphics and Algorithms, Vienna
               University of Technology ",
  URL =        "https://www.cg.tuwien.ac.at/research/publications/2013/Spechtenhauser_Florian_2013_SIU/",
}