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Rigid origami is a branch of origami with great potential in engineering applications to deal with rigid-panel folding. One of the challenges is to compactly fold the polyhedra made from rigid facets with a single degree of freedom. In this…

应用物理 · 物理学 2020-05-15 Yuanqing Gu , Yan Chen

This paper addresses the task of dense non-rigid structure-from-motion (NRSfM) using multiple images. State-of-the-art methods to this problem are often hurdled by scalability, expensive computations, and noisy measurements. Further, recent…

计算机视觉与模式识别 · 计算机科学 2018-03-28 Suryansh Kumar , Anoop Cherian , Yuchao Dai , Hongdong Li

Origami, the traditional paper-folding art, has inspired the modern design of numerous flexible structures in science and engineering. In particular, origami structures with different physical properties have been studied and utilized for…

软凝聚态物质 · 物理学 2025-07-24 Rongxuan Li , Gary P. T. Choi

We introduce probabilistic frames to study finite frames whose elements are chosen at random. While finite tight frames generalize orthonormal bases by allowing redundancy, independent, uniformly distributed points on the sphere…

概率论 · 数学 2011-08-11 Martin Ehler

Recurrent iterated function systems (RIFSs) are improvements of iterated function systems (IFSs) using elements of the theory of Marcovian stochastic processes which can produce more natural looking images. We construct new RIFSs consisting…

动力系统 · 数学 2013-04-09 Chol-Hui Yun , W. Metzler , M. Barski

We develop some design examples for approximating a target surface at the final rigidly folded state of a developable quadrilateral creased paper, which is folded with a 1-DOF rigid folding motion from the planar state. The final rigidly…

度量几何 · 数学 2020-06-15 Zeyuan He , Simon D. Guest

Flexible surfaces can modulate fluid forces through deformation, enabling passive adaptation to flow conditions. Here we show that kirigami sheets, planar surfaces patterned with arrays of parallel slits, provide a simple route to tunable…

流体动力学 · 物理学 2026-04-23 Agathe Schmider , Tom Marzin , Sophie Ramananarivo

Electro-thermally actuated origami provides a novel method for creating 3-D systems with advanced morphing and functional capabilities. However, it is currently difficult to simulate the multi-physical behavior of such systems because the…

机器人学 · 计算机科学 2022-04-14 Yi Zhu , Evgueni T. Filipov

Programmable folding of elastic sheets typically relies on predefined flexible creases or active materials-enabled hinges, which lack intrinsic bistability and limit reprogrammability within a single structure. Here, we present a…

软凝聚态物质 · 物理学 2026-05-05 Qun Zhang , Weicheng Huang , Amir Hajiyavand , Hyunyoung Kim , Claire Dancer , Karl Dearn , Mingchao Liu

Kirigami is an increasingly useful fabrication method to produce shape-programmable metamaterial structures. However, inverse design remains difficult because deployment is nonlinear, and feasible cut layouts must satisfy discrete…

机器学习 · 计算机科学 2026-05-12 Milad Yazdani , Shahriar Shalileh , Dena Shahriari

In this paper, we present RigAnyFace (RAF), a scalable neural auto-rigging framework for facial meshes of diverse topologies, including those with multiple disconnected components. RAF deforms a static neutral facial mesh into…

计算机视觉与模式识别 · 计算机科学 2025-11-25 Wenchao Ma , Dario Kneubuehler , Maurice Chu , Ian Sachs , Haomiao Jiang , Sharon Xiaolei Huang

Mobile manipulator robots operating in complex domestic and industrial environments must effectively coordinate their base and arm motions while avoiding obstacles. While current reactive control methods gracefully achieve this…

机器人学 · 计算机科学 2025-09-04 Nicolas Marticorena , Tobias Fischer , Jesse Haviland , Niko Suenderhauf

We propose a novel computational framework for modeling and simulating origami structures. In this framework, bilinear solid-shell elements are employed to model the origami panels while crease folding is considered through the angle…

图形学 · 计算机科学 2026-01-05 Qixin Liang

A bar framework determined by a finite graph $G$ and configuration $\bf p$ in $d$ space is universally rigid if it is rigid in any ${\mathbb R}^D \supset {\mathbb R}^d$. We provide a characterization of universally rigidity for any graph…

度量几何 · 数学 2015-01-29 Robert Connelly , Steven Gortler

This paper sets a theoretical foundation for the applications of the fractal interpolation functions (FIFs). We construct rational cubic spline FIFs (RCSFIFs) with quadratic denominator involving two shape parameters. The elements of the…

数值分析 · 数学 2018-09-24 S. K. Katiyar , A. K. B. Chand , Sangita Jha

Implicit representations have been widely applied in robotics for obstacle avoidance and path planning. In this paper, we explore the problem of constructing an implicit distance representation from a single image. Past methods for implicit…

机器人学 · 计算机科学 2026-03-13 Wei-Teng Chu , Tianyi Zhang , Matthew Johnson-Roberson , Weiming Zhi

Soft robots employing compliant materials and deformable structures offer great potential for wearable devices that are comfortable and safe for human interaction. However, achieving both structural integrity and compliance for comfort…

机器人学 · 计算机科学 2025-11-04 Sehui Jeong , Magaly C. Aviles , Athena X. Naylor , Cynthia Sung , Allison M. Okamura

A foundational result in origami mathematics is Kawasaki and Justin's simple, efficient characterization of flat foldability for unassigned single-vertex crease patterns (where each crease can fold mountain or valley) on flat material. This…

计算几何 · 计算机科学 2022-04-11 Lily Chung , Erik D. Demaine , Dylan Hendrickson , Victor Luo

We fully generalize a previously-developed computational geometry tool [1] to perform large-scale simulations of arbitrary two-dimensional faceted surfaces $z = h(x,y)$. Our method uses a three-component facet/edge/junction storage model,…

数学物理 · 物理学 2011-10-17 Scott A. Norris , Stephen J. Watson

The ability to transform a flat sheet into a complex three-dimensional structure is a fundamental test of physical intelligence. Unlike cloth manipulation, origami is governed by strict geometric axioms and hard kinematic constraints, where…

图形学 · 计算机科学 2026-04-06 Yanjia Huang , Yunuo Chen , Ying Jiang , Jinru Han , Zhengzhong Tu , Yin Yang , Chenfanfu Jiang