Conversion of B-rep CAD models into globally G1 triangular splines

Triangular B-splines

Fairing Triangular B-splines of Arbitrary Topology

Triangular B-splines are powerful and flexible in modeling a broader class of geometric objects defined over arbitrary, non-rectangular domains. Despite their great potential and advantages in theory, practical techniques and computational tools with triangular B-splines are less-developed. This is mainly because users have to handle a large number of irregularly distributed control points over...

Efficient Evaluation of Triangular B-splines

Watertight conversion of trimmed CAD surfaces to Clough-Tocher splines

The boundary representations (B-reps) that are used to represent shape in Computer-Aided Design systems create unavoidable gaps at the face boundaries of a model. Although these inconsistencies can be kept below the scale that is important for visualisation and manufacture, they cause problems for many downstream tasks, making it difficult to use CAD models directly for simulation or advanced g...

Shape Analysis of B - Rep CAD Models to Extract Partial and Global Symmetries

Symmetry properties of objects described as B-Rep CAD models are analyzed locally as wellas globally through an approach of type divide-and-conquer. The boundary of the object isdefined using canonical surfaces frequently used when shaping mechanical components. Then,the first phase consists in generating maximal faces and edges that are independent from theobject modelling proc...