Reverse engineering, the process of obtaining a geometric CAD model from measurements obtained by scanning an existing physical model, is widely used in numerous applications, such as manufacturing, industrial design and jewellery design. In this work we propose a framework for reverse engineering objects of freeform design to obtain a fully editable feature-based CAD model that can be reproduced or modified before production. We focus on the process of detecting features on a cloud point and we present a fast method for analyzing the morphology of the surface defined by the point cloud. We compute a point wise characteristic called point concavity intensity and we use this quantity to detect regions that are then refined to object features. The proposed algorithm takes overall O(nlogn) time, where n is the cardinality of the point cloud.

We present ByzantineCAD, a feature-based parametric CAD system for designing pierced Byzantine jewellery. ByzantineCAD is an automated system where jewellery is designed according to the values of parameters and constraints that are determined by the end-user. We introduce an approach to reproducing traditional pierced Byzantine jewellery using pierced voxels ("poxels"). Poxels are voxels with specific attributes and properties that are appropriately combined to create large complex pierced designs. We also present a scaling algorithm for enlarging pierced designs without altering the size of the poxels used to construct them and an algorithm for engraving arbitrary images in pierced jewellery.