Developable surfaces are those that can be made by smoothly bending flat pieces without
stretching or shearing. We introduce a definition of developability for triangle meshes which …

We present a discrete theory for modeling developable surfaces as quadrilateral meshes
satisfying simple angle constraints. The basis of our model is a lesser-known …

We present an automatic tool to approximate curved geometries with piece-wise
developable surfaces. At the center of our work is an algorithm that wraps a given 3D input …

Thin elastic ribbons represent a class of intermediary objects lying in-between thin elastic
plates and thin elastic rods. Although the two latter families of thin structures have received …

Curved folded surfaces, given their ability to produce elegant freeform shapes by folding flat
sheets etched with curved creases, hold a special place in computational Origami. Artists …

Origami provides both inspiration and potential solutions to the fabrication, assembly, and
functionality of various structures and devices. Kinematic modeling of origami-based objects …

Approximating 3D shapes with piecewise developable surfaces is an active research topic,
driven by the benefits of developable geometry in fabrication. Piecewise developable …

We present a computational framework for interactive design and exploration of curved
folded surfaces. In current practice, such surfaces are typically created manually using …

We propose a novel method to compute high-quality piecewise developable approximations
for triangular meshes. Central to our approach is an evolutionary genetic algorithm for …

Background: A developable surface is a special ruled surface with vanishing Gaussian
curvature. The study of developable surfaces is of interest in both academia and industry …