研究目的

Investigating the therapeutic effects of a specific herbal medicine on a particular disease.

研究成果

In this paper we have tackled a practical problem in heterogeneous volume modelling concerning the changing volumetric material properties (represented with continuous fields) over time. We presented a novel closed form solution for the time-variant transformation of volumetric material properties independent of the method of the object geometry and topology transformation. This solution is based on an extension of a general mathematical method of the transfinite interpolation to a specific higher-dimensional space-time technique. The continuity and differentiability of the proposed interpolation are provided by the continuity of the object defining functions, using of proper R-functions in Equations (2), (3) and the formulation of the space-time transfinite interpolation in Equations (4), (5).

研究不足

The discretization of the field onto a grid limits the accuracy of the two objects, both in shape and texture information. The UV coordinates needs to be continuous. That is, the UV coordinate of a vertex is the same regardless of the face it belongs to. While this may occur, it is often hidden in creases of the mesh (such as a character’s armpits). This can become a source of noise especially in regions far from the surface, since the UV coordinates retrieved from the closest point are ambiguous. When a region is far from the mesh, it is likely that the closest feature is a vertex or an edge.