
          
          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.