■Muraki, Y., Konno, K., Tokuyama, Y.,
Curve Mesh Modeling Method of Trimmed Surfaces for Direct Modeling,
The Journal of the Society for Art and Science, Vol.10, No.1, pp. 1227，(2010)．
Abstract:
In the shape modeling with 3D CAD systems, the trimmed surface is quite popular. For instance, Japanese Industrial
Standards (JIS) models contain a lot of notches, expressed using trimmed surfaces. Since trimmed surfaces are directly
modified in direct modeling, it has a big restriction in the shape modification. It is effective to apply a new freeform
surface to a closed region composed of the modified edges because the consistency of a trimmed surface can be maintained.
This paper proposes the method of fitting a freeform surface by using the offset curve. To be more concrete, an offset
curve is generated according to the tangent planes and a point cloud is generated. After that, a Bspline surface is
generated using the generated point clouds and the boundary curves, so that a new trimmed surface is generated. Our
method is effective for direct modeling that directly modifies the boundary edges of the trimmed surface representing a
notch shape.
