Three-dimensional solid analysis of actual objects is performed
using the shape modeling technique in computer graphics
and the meshfree method.
The combination of the shape modeling and the meshfree analysis
enables computation without mesh structure of solids.
Direct rendering of smooth surfaces defined using implicit representation
are performed using GPUs.
The field defining a surface consists of a grid of polynomials
which contribute to efficient parallel computation on the GPUs.
A parallel algorithm of the meshfree method for solving boundary value
problems is developed and implemented on a GPU.
The meshfree computation is effectively parallelized
by applying the idea of adaptive subdivison to the problem domain.
A technique for the detection electrical inclusions in a body
using boundary measurement, called electrical impedance tomography,
is developed. Our approach enables detection of inclusions
using voltage-current measurements performed on a local area
of the boundary.
A scheme for creating large-scale urban three-dimensional models
based on historical GIS
data is developed. The models are generated as a set of automatically
located simple houses and indivisually produced buildings.
Our test shows that the historical city of Kyoto can be appropriately
reconstructed by the approach.