Research Projects

General Rigid-Foldable Quadrilateral Mesh Origami

In general, a quadrilateral mesh surface does not enable a continuous rigid motion because an overconstrained system is constructed. We generalize the geometric condition for enabling one-DOF rigid motion in general quadrilateral mesh origami without the trivial repeating symmetry. This yields a variety of unexplored generalized shapes of quadrilateral mesh origami that preserve finite rigid-foldability in addition to developability and flat-foldability.

Presented at IASS Symposium 2009, Valencia 28 September - 2 October 2009, Universidad Politecnica de Valencia, Spain

for details refer

• Tomohiro Tachi, "Generalization of Rigid Foldable Quadrilateral Mesh Origami," Journal of the International Association for Shell and Spatial Structures, (to appear).
  • Tomohiro Tachi, "Generalization of Rigid Foldable Quadrilateral Mesh Origami," Proceedings of the IASS Symposium 2009, 2009, pp. 2287-2294. pdf (1.4MB)

One-DOF Rigid-Foldable Tubes

We present a novel cylindrical deployable structure and variations of its design with the following characteristics:

1. Flat-foldable: The shape flattens into a compact 2D configuration.
2. Rigid-foldable: Each element does not deform throughout the transformation.
3. One-DOF: The mechanism has exactly one degree of freedom.
4. Thick: Facets can be substituted with thick or multilayered panels without introducing the distortion of elements.

Presented at IASS Symposium 2009, Valencia 28 September - 2 October 2009, Universidad Politecnica de Valencia, Spain

for details refer

• Tomohiro Tachi, "One-DOF Cylindrical Deployable Structures with Rigid Quadrilateral Panels," in Proceedings of the IASS Symposium 2009, 2009, pp. 2295-2305. pdf (3.2MB)

Kushakusha

This is a novel interactive system that enables a user to design crumpled papers.

Software will be available soon.

Origamizing Polyhedral Surfaces

The first practical method for "origamizing" or obtaining the folding pattern that folds a single sheet of material into a given polyhedral surface without any cut is shown.

For the details

• Tomohiro Tachi, "Origamizing Polyhedral Surfaces," IEEE Transactions on Visualization and Computer Graphics, to Appear. pdf (1.2MB)
• Tomohiro Tachi, "3D Origami Design based on Tucking Molecule" in Origami^4:Proceedings of 4OSME, pp. 259-272, 2009. pdf (1.3MB)
  folded models and screenshot
  Software is available here
  

Rigid Origami Simulation

The method for calculating the kinematics of rigid origami from general crease pattern is presented.

• "Simulation of Rigid Origami" in Origami^4:Proceedings of 4OSME, pp. 175-187, 2009. pdf (0.4MB)
• Power Point Presentation (Part) (6MB)
• Software is available here

Smooth Origami Animation by Crease Line Adjustment (SIGGRAPH 2006 poster)

I propose a method for making a smooth and comprehensible origami animation from crease pattern to folded base, by adding and adjusting crease lines on an origami model.

Poster(PDF)

Full-Spectral Image-Based Lighting with Skylight (SIGGRAPH 2005 poster)

I propose a method for restoring Spectral Power Distribution (SPD) data from RGB image of skylight and calculating reflected color of synthetic objects lit by skylight. The algorithm is based on basis functions of skylight spectra given by light scattering model in atmosphere so that measurement of the SPD is not necessary. The method can be used to implement real-time environment mapping. Precise simulation of lighting with skylight enables designer to interactively design the color of an outdoor visual environment.

Abstract(PDF)

The reflected color by this method is more bluish than the color calculated by just multiplying RGBs, because skylight's spectrum width is small in visible range.