Differentiable 3D CAD Programs for Bidirectional Editing

Abstract Modern CAD tools represent 3D designs not only as geometry, but also a program composed of geometric operations, each which depends on set parameters. Program representations enable meaningful and controlled shape variations via parameter changes. However, achieving desired modifications solely through editing is challenging when models have been explicitly authored to expose select degrees freedom in advance. We introduce novel bidirectional system for programs. In addition the program, users can directly manipulate geometry our infers updates keep both sync. formulate inverse edits constrained optimization objectives, returning plausible parameters that match user intent maintain validity. Our approach implements an automatically differentiable domain‐specific language programs, providing derivatives this be performed quickly any expressed program. enables rapid, interactive exploration design space by allowing interchangeably during iteration. While designed optimize across changes topology, we show it expressive performant enough produce diverse variants, even contains relatively large number