Face Extrusion Quad meshes (FEQs) are built using a sequence of face-loop modeling operations. Arbitrary triangular meshes (a), can automatically be skeletally topologized as an FEQ (b), and geometrically fit to the original mesh (c). The construction graph is shown abstracted, with color-coded subgraph nodes matching an FEQ part structure (d). FEQs enable a variety of shape history aware applications like inverse box modeling (e),(f), and FEQ-preserving cut-and-paste (g),(h).We propose a 3D object construction methodology built on face-loop modeling operations. Our Face Extrusion Quad (FEQ) meshes, have a well designed face-loop structure similar to artist crafted 3D models. Furthermore, we define a construction graph which encodes a sequence of primitive extrude/collapse and bridge/separate operations that operate on admissible face-loops. We show that FEQs are imbued with a meaningful face-loop induced shape skeleton, part segmentation, plausible construction history, and possess the many advantages of extrusion-based 3D modeling.
This project was funded in part by NSERC and Advokat Bent Thorbergs Fond (award no. 66.531).