b. Demonstrates a novel viwing angle of the Mount Rushmore from the captured data set.

There exists two Moebius bands on a Klein bottle. The second band is symmetric to the shown Moebius band.

Article "Imaging maths - Inside the Klein bottle" at http://plus.maths.org/
issue26/index.html

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Figure 2: Height + colour map for a textile texture from a flatbed scanner

We present results from the application of our algorithm for producing 3D texture data from a small number of images acquired using an ordinary flatbed scanner. The corresponding height, bump and colour maps may be utilised to render mixed reality scenes with photorealistic textures.

For more textures, check http://www.macs.hw.ac.uk/texturelab/scan/texturescan.html

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This image represents nanoparticle formation in a TiCl4 combustion simulation. Spot sizes and color on the heated-object scale represent the mean diameter of particles at a given point in space, while the diversity of sizes of these spots in a given area relates to the standard deviation of spot sizes. For example, in an area with large particles of low deviation, we would expect mostly large spots. In an area with medium size particles and high deviation we would expect to see a wider range of spots, some large and some small, whose average size is medium.

Figure 2: Nanoparticle Count Information

Here we see a representation of nanoparticle quantities at a point for six different sizes of nanoparticles, each represented by a concentric ring in a target glyph. I've used six perceptually-equiluminant colorscales to show counts of particles of sizes 1,2,4,8,16,and 32 nanometers, each count linked sequentially to rings of the target glyphs from center outward. Brighter rings contain more particles of a given size.

Figure 2: Crystals being precipitated from solution (with a droplet in the center).

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These examples illustrate how a small number of geometrical principles enables the creation of a wide range of abstract images, ranging from Mondrian-like juxtaposition of simple figures to complicated textures. Most of these principles, such as exclusion, occlusion or transparency, are at work in natural images formation.

Contributors: Luis Alvarez, Universidad de Las Palmas de Gran Canaria, Spain. Yann Gousseau, Ecole Nationale Superieure des telecommunications, Paris, France. Jean-Michel Morel, Ecole Normale Superieure de Cachan, France.

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The following links lead to more examples : http://serdis.dis.ulpgc.es/ami/demos/algomo/algomo.html and http://www.tsi.enst.fr/~gousseau/Algomo/

Sebastiano Battiato, Università di Catania - Dipartimento di Matematica ed Informatica

The underlying details are available here:
S. Battiato, G. Di Blasi, G. M. Farinella, G. Gallo, A Novel Technique for Opus Vermiculatum Mosaic Rendering In Proceedings of 14-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, WSCG 2006 Plzen, Czech Republic, February 2006;

Visit http://svg.dmi.unict.it/iplab/ for more info.

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This is a frame from the video Möbius Transformations Revealed

Douglas N. Arnold and Jonathan Rogness, University of Minnesota

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