Publication
On Subdivision Schemes Generalizing Uniform B-spline Surfaces of Arbitrary Degree
AbstractWe introduce a new class of subdivision surfaces which generalize uniform tensor product B-spline surfaces of any bi-degree to meshes of arbitrary topology. Surprisingly, this can be done using subdivision rules that involve direct neighbors only. Consequently, our schemes are easy to implement, regardless of degree. The famous Catmull-Clark scheme is a special case. Similarly we show that the triangular box splines of total degree 3m + 1 can be generalized to arbitrary triangulations. Loop subdivision surfaces are a special case when m=1. our new schemes should be of interest to the high-end design market where surfaces of bi-degree up to 7 are common.
Download publicationRelated Resources
See what’s new.
2014
Posture-dependent Changes in Corticomotor Excitability of the Biceps After Spinal Cord Injury and Tendon TransferFollowing tendon transfer of the biceps to triceps after cervical…
2016
RetroFab: A Design Tool for Retrofitting Physical Interfaces using Actuators, Sensors and 3D PrintingWe present RetroFab, an end-to-end design and fabrication environment…
2003
Exploring the Conformal Constraint EquationsThe extended constraint equations arise as a special case of the…
2023
Putting the “Smart” into the Dar Smart BridgeExamining the materials and sensors needed for large-scale, 3D…
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