## Information

• Publication Type: Bachelor Thesis
• Workgroup(s)/Project(s):
• Date: February 2013
• First Supervisor:

## 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.

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/",
}
```