Feature based volumes for implicit intersections

The automatic generation of volumes bounding the intersection of two implicit surfaces (isosurfaces of real functions of 3D point coordinates) or feature based volumes (FBV) is presented. Such FBVs are defined by constructive operations, function normalization and offsetting. By applying various offset operations to the intersection of two surfaces, we can obtain variations in the shape of an FBV. The resulting volume can be used as a boundary for blending operations applied to two corresponding volumes, and also for visualization of feature curves and modeling of surface based structures including microstructures.

Graphical abstractFigure optionsDownload full-size imageDownload high-quality image (90 K)Download as PowerPoint slideHighlights► The problem of automatic generation of bounding volumes for intersection of objects is considered. ► Direct function-based definition for multiple intersections of FRep objects is presented. ► Several methods for an offset operation for implicit objects are described. ► Method can be applied for modeling, visualization and artistic design.