A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Filters
Discrete Geodesic Nets for Modeling Developable Surfaces
[article]
2017
arXiv
pre-print
Preserved Fulltext
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 characterization of developable surfaces as manifolds that can be parameterized through orthogonal geodesics. ...
ACKNOWLEDGMENTS The authors would like to thank Noam Aigerman, Mario Botsch, Oliver Glauser, Roi Poranne, Katja Wolff, Christian Schüller, Jan Wezel and Hantao Zhao for illuminating discussions and help ...
arXiv:1707.08360v1
fatcat:xzq3xvkc6jho3od452am57v63e
Voss Surfaces: A Design Space for Geodesic Gridshells
2020
Journal of the International Association for Shell and Spatial Structures
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
In this paper, the design of a special family of structures, called geodesic shells, is addressed using Voss nets, a family of discrete surfaces. ...
These advantageous constructive properties arise from the existence of a conjugate network of geodesic curves on the underlying smooth surface. ...
Hauswirth for the enlightening advices in differential geometry. ...
doi:10.20898/j.iass.2020.008
fatcat:tfis27bqfvdyndm2aqf7fm4m7e
Paper strips driven design: Application on doubly curved surfaces
2017
FME Transaction
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Results are addressing possibilities of achieving an overall smooth surface and developing a model for the generation of curvature continuous surfaces composed of paper strip surfaces, as well as generating ...
A developable surface has zero Gaussian curvature at all points, while a non-developable surface has non-zero Gaussian curvature at least in some region. ...
ACKNOWLEDGMENT Authors are supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia, Project No. TP 36008. ...
doi:10.5937/fmet1702251c
fatcat:i4ageemiinhpzegcso36oib5we
Shape approximation by developable wrapping
2020
ACM Transactions on Graphics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
ACKNOWLEDGMENTS We would like to thank David Lindlbauer for feedback, support and help with paper model fabrication and video production. ...
We use the model of discrete orthogonal geodesic nets (DOGs) [Rabinovich et al. 2018a ], as they allow for modeling of developable surfaces without rulings. ...
At the center of our work is an algorithm that wraps a given 3D input surface with multiple developable patches, each modeled as a discrete orthogonal geodesic net. ...
doi:10.1145/3414685.3417835
fatcat:rspupdl6xrcy3lsvplfb3gteei
Quad-mesh based isometric mappings and developable surfaces
2020
ACM Transactions on Graphics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Design with developables in freeform architecture. We propose a simple approach to isometric mappings between quad meshes, which immediately leads to a way to model developable surfaces. ...
consisting of developable spline surfaces. ...
Quad-mesh based isometric mappings and developable surfaces • 1:13 Fig. 26 . Isometric deformation. ...
doi:10.1145/3386569.3392430
fatcat:qnszp4566janjme5lyj5pe64te
Dev2PQ: Planar Quadrilateral Strip Remeshing of Developable Surfaces
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Other representations of developable surfaces, such as arbitrary triangle or quad meshes, are more suitable for interactive freeform modeling, but generally have non-planar faces or are not aligned to ...
Our method leverages the modeling flexibility of non-ruling based representations of developable surfaces, while still obtaining developable, curvature aligned PQ-strip meshes. ...
ACKNOWLEDGMENTS The authors would like to thank Michael Rabinovich and Helmut Pottmann for illuminating discussions. ...
arXiv:2103.00239v2
fatcat:7l45gs5k5bezhoxpoupenfrcfa
An effective third-order local fitting patch and its application
2009
2009 IEEE International Conference on Shape Modeling and Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Furthermore, we define the principal geodesic torsion of each vertex on the mesh model and estimate it through this local fitting patch. ...
In the end of this paper, we apply the third-order fitting patch for the mesh smoothing and hole-filling which can get the satisfactory results. ...
ACKNOWLEDGEMENTS The authors gratefully appreciate the anonymous referees for the useful comments and suggestions which improved this paper considerably. ...
doi:10.1109/smi.2009.5170157
dblp:conf/smi/LiBJ09
fatcat:gzz332vvxvb57jwj3y45tt6d24
Caging complex objects with geodesic balls
2013
2013 IEEE/RSJ International Conference on Intelligent Robots and Systems
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
The first uses winding angles measuring how much a geodesic ball on the surface winds around a dominant axis, while the second explores using the total discrete Gaussian curvature of a geodesic ball to ...
We introduce the idea of using geodesic balls on the object's surface in order to approximate the maximal contact surface between a robotic hand and an object. ...
We model the maximal contact surface between the robot's hand and a given closed surface S as a geodesic ball B r (p) of radius r and centred at a point p ∈ S. ...
doi:10.1109/iros.2013.6696781
dblp:conf/iros/ZarubinPTK13
fatcat:j7az5vzvyffdlagtvytn2tfxfa
Freeform surfaces from single curved panels
2008
ACM SIGGRAPH 2008 papers on - SIGGRAPH '08
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Together with geodesic models and cylindrical models they offer a rich source of solutions for surface panelization problems. ...
The basic entity we are working with is the developable strip model. It is the semi-discrete equivalent of a quad mesh with planar faces, or a conjugate parametrization of a smooth surface. ...
We want to thank Benjamin Schneider for his help in preparing illustrations. ...
doi:10.1145/1399504.1360675
fatcat:ye2fpwiowzctrhbywfcczoc2pe
Freeform surfaces from single curved panels
2008
ACM Transactions on Graphics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Together with geodesic models and cylindrical models they offer a rich source of solutions for surface panelization problems. ...
The basic entity we are working with is the developable strip model. It is the semi-discrete equivalent of a quad mesh with planar faces, or a conjugate parametrization of a smooth surface. ...
We want to thank Benjamin Schneider for his help in preparing illustrations. ...
doi:10.1145/1360612.1360675
fatcat:ghe4q7loffbgrjbw7rpr3qmz6e
A Computational Model of Multidimensional Shape
2010
International Journal of Computer Vision
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
We develop algorithms to calculate geodesics and geodesic distances, as well as tools to quantify local shape similarities and contrasts, thus obtaining a formulation that accounts for regional differences ...
We develop a computational model of shape that extends existing Riemannian models of curves to multidimensional objects of general topological type. ...
For example, it integrates discrete models developed over different meshes as approximations to a common model and it might help to interpret our shape metrics as a step towards a new approach to registration ...
doi:10.1007/s11263-010-0323-0
pmid:21057668
pmcid:PMC2971560
fatcat:f63wog2h6zdbfoi7arotwmywem
GeoNet: Deep Geodesic Networks for Point Cloud Analysis
[article]
2019
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Surface-based geodesic topology provides strong cues for object semantic analysis and geometric modeling. However, such connectivity information is lost in point clouds. ...
Thus we introduce GeoNet, the first deep learning architecture trained to model the intrinsic structure of surfaces represented as point clouds. ...
The proposed geodesic fusion methods, called PU-Net fusion (PUF) and PointNet++ fusion (POF), integrate GeoNet with the baseline or backbone models to conduct geodesic-aware point set analysis. ...
arXiv:1901.00680v1
fatcat:klcyeywb4vhdhjuvmxsfpacsk4
Wire mesh design
2014
ACM Transactions on Graphics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
While the theory of Chebyshev nets suggests a highly constrained design space, we show that allowing controlled deviations from the underlying surface provides a rich shape space for design exploration ...
To facilitate shape exploration, we map material properties of wire meshes to the geometric model of Chebyshev nets. This abstraction is exploited to build an efficient optimization scheme. ...
Acknowledgements We thank Cosmo Wenman for providing the digital models of the torsos from their physical counterparts in The Louvre; Zohreh Sasanian for helping with the fabrication process; Keenan Crane ...
doi:10.1145/2601097.2601106
fatcat:bwfm3mqp6jdbfkssgzuqe74644
Algorithmic design of self-folding polyhedra
2011
Proceedings of the National Academy of Sciences of the United States of America
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2013; you can also visit the original URL.
The file type is application/pdf.
We also find that shortest paths between 2D nets and the 3D polyhedron in a discrete model of the configuration space of foldings are a useful idealization of experimentally observed folding pathways. ...
In order to realize these ambitions, it is necessary to develop model experimental systems and theoretical analyses that make precise the analogies between natural and synthetic self-assembly. ...
Shortest paths between 2D nets and the 3D polyhedron are called geodesics. The discrete configuration space and geodesics for the cube are illustrated in Fig. 7 . ...
doi:10.1073/pnas.1110857108
pmid:22139373
pmcid:PMC3250184
fatcat:ouxpzcmakrgvjgr53aszyx4gka
Front Matter
2021
Computer graphics forum (Print)
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
Bradley studied architecture at Pratt Institute in Brooklyn, New York, and has been developing computational design tools for advanced manufacturing for the last 10-plus years. ...
This talk describes the new design problems that engineers today face and the software we have developed for solving them. ...
belief nets. ...
doi:10.1111/cgf.14376
fatcat:chf2craanrfhzdhgfnc4nh5ohi
« Previous
Showing results 1 — 15 out of 3,734 results