A framework to optimize dual-shape tessellations into deployable rotating semi-rigid structures while maintaining shape similarity by introducing a metric function that simultaneously considers rotational degrees of freedom and shape semantics, along with a two-step deployable optimization algorithm.

A novel waiting time prediction method for bottom-up vat photopolymerization (WTP-VP) that uses a prediction model based on the concept of a prediction feature region. This method is suitable for actual production in the industry as it predicts waiting time in real-time for contours with complex topologies and requires less data than machine learning using per-layer mask images directly.

A method to generate fabricable multi-scale Wang Tiles by utilizing a parametric model and a combination tiles generation method to create representative sets of multi-scale tiles. These sets effectively cover a wide range of densities while minimizing the number of elements, and employs a hierarchical strategy to quickly and accurately fill a given density field.

A method for generating dual-shape tessellations. Given an input image, search for a dual image in the graphic library and optimize both simultaneously to create "mutual-surrounding" dual patterns, which are introduced onto a 3D surface, innovatively generating perforated surface model.