Title: Making papercraft from triangle mesh
1Making papercraft from triangle mesh
2Outline
- Problem statement
- Background
- Related work
- My research direction
3Problem
- Papercraft
- Unfold a model (triangle meshes) onto pieces of
paper - Reconstruct the model from paper, by cutting and
gluing - The only unfoldable surface is developable
surface - General models need segmentation or cutting to be
reasonably unfolded
4Background parameterization
- Preserve
- Angle
- Area
- Distortion can be measured using the two singular
value Gand ?of Jacobian matrix - Gand ? represent the largest and smallest length
when mapping the unit length from texture domain
to surface - Distortion always exist except for developable
surfaces
5Characteristic of paper
- Paper is developable surface
- Gaussian curvature equals zero
- Can be unfolded without any distortion
6Related work - papercraft
- Making Papercraft Toys from Meshes using
Strip-based Approximate Unfolding. Siggraph 2004 - D-Charts Quasi-Developable Mesh Segmentation.
Eurographics 2005 - Paper Craft Models from Meshes. Pacific
graphics 2006
7Making Papercraft Toys from Meshes using
Strip-based Approximate Unfolding
8Making Papercraft Toys from Meshes using
Strip-based Approximate Unfolding
- Segment the model into several charts then cut
the charts into triangle strips - Not convenient for cutting and gluing
9D-Charts Quasi-Developable Mesh Segmentation
10Paper Craft Models from Meshes
11D-Charts Quasi-Developable Mesh Segmentation
12- Framework
- Region growing
- Use conic surface approximation of developable
surface as error metric - Optimize the conic surface at each iteration
- Conic surface is a subset of developable surface
- There exist an axis s.t. the angle between the
axis and normal of every point on the surface is
constant
13Problems of current method
- Only consider conic surface, not general
developable surface - Use single conic surface to approximate each
chart, lose the potential of forming larger
charts - Not consider cutting explicitly, lose the
potential of forming larger charts
14Related work cutting
- Spanning Tree Seams for Reducing
Parameterization Distortion of Triangulated
Surfaces. IEEE Proceedings of Shape Modeling
International 2002
15Spanning Tree Seams for Reducing Parameterization
Distortion of Triangulated Surfaces
16Research direction
- Find more general error metric for developable
surface - Consider multiple developable surface
approximation of original surface - Consider cutting
- Smooth and short cut
- Feature preserving
- Developable NURB surface