An extended B-Rep solid modeling kernel integrating mesh and NURBS faces

ABSTRACT

In several application contexts, virtual solid models require to integrate portions of polygonal meshes with synthetic models, designed by traditional parametric/analytical multipatches systems. The paper reports the research aiming at covering the theoretical and numerical aspects connected with an extended geometric solid modeling system, focusing on the B-Rep models and introducing the new paradigm of Extended B-Rep (EB-Rep), which is able to integrate mesh-faces as part of a B-rep model. This paradigm introduces a notion of continuity between parametric and discrete representations, regularized Boolean Operations, a join operator and an approach to represent a valence semi-regular mesh as an EB-Rep structure. A prototype of the geometric solid modeling kernel has been realized and tested in the OpenCascade library environment.

GRAPHICAL ABSTRACT

Keywords:

• Solid modeling kernel
• polygonal meshes
• B-Rep
• regularized boolean operations

ORCID

Giacomo Ferrari http://orcid.org/0000-0003-4371-3863

Roberto Raffaeli http://orcid.org/0000-0003-0301-454X

Giulio Casciola http://orcid.org/0000-0003-0851-3305

Serena Morigi http://orcid.org/0000-0001-8334-8798