This paper presents a novel visualization method of thermal image through projection-based mixed reality (MR) technologies. In the proposed method, geometrically adjusted and photometrically compensated projection light of thermal image is optically superimposed onto a real object. Users can intuitively recognize temperature distribution of the object since it is appeared onto the object itself in real space, not a two dimensional monitor. When the temperature distribution information of the object is displayed on a monitor, users often have to look the monitor and the object scene alternately to obtain geometrical relations between the thermal image and the object. This kind of spatial seam between a display space (a monitor) and an object space (a real space) causes psychological difficulty in usability. To unify these two spaces seamlessly, the authors believe that the spatial consistency is the key for realizing the user's intuitive understanding of the object's temperature distribution.

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For high-quality visualization of a complex implicit surface, we need to decompose it into polygons with high aspect ratio, i.e., polygons that are nearly equilateral triangles. For this purpose, we should realize uniform neighboring distances between sample points generated on the surface. The particle-system method based on interparticle repulsive force is known as an excellent way to realize the uniformity. In the particle- system method, the sample points are regarded as particles for which proper interparticle repulsive force is assigned. Recently, Meyer et al. proposed efficient repulsive force based on a cotangent energy function. For a very high-density, i.e., large-scale particle system, however, their repulsive force becomes ineffective, and the system needs long time to approach an equilibrium state where neighboring-particle distances become uniform. In this paper, we propose a new type of repulsive force that is suitable for high-density particle systems. We show that the proposed repulsive force works well to generate polygons with higher aspect ratio on a target implicit surface, compared with the Mayer et al.'s force. We also show that computation time to make the particle system reach the equilibrium state is shorter.

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