Publication
Quad/Triangle Subdivision
AbstractIn this paper we introduce a new subdivision operator that unifies triangular and quadrilateral subdivision schemes. Designers often want the added flexibility of having both quads and triangles in their models. It is also well known that triangle meshes generate poor limit surfaces when using a quad scheme, while quad-only meshes behave poorly with triangular schemes. Our new scheme is a generalization of the well known Catmull-Clark and Loop subdivision algorithms. We show that our surfaces are C1 everywhere and provide a proof that it is impossible to construct a C2 scheme at the quad/triangle boundary. However, we provide rules that produce surfaces with bounded curvature at the regular quad/triangle boundary and provide optimal masks that minimize the curvature divergence elsewhere. We demonstrate the visual quality of our surfaces with several examples.
Download publicationRelated Resources
See what’s new.
2023
Deep Learning Methods of Cross-Modal Tasks for Conceptual Design of Product Shapes: A ReviewThis research highlights current challenges and proposes future…
2023
Conceptual Design Generation Using Large Language ModelsGenerating design concepts in product design using Large Language…
2016
Integrated Spatial-Structural Optimization in the Conceptual Design Stage of ProjectHealthcare design projects require the careful integration of spatial…
2015
Meltables: Fabrication of Complex 3D Curves by MeltingWe propose a novel approach to fabricating complex 3D shapes via…
Get in touch
Something pique your interest? Get in touch if you’d like to learn more about Autodesk Research, our projects, people, and potential collaboration opportunities.
Contact us