Multiscale persistent topological descriptor for porous structure retrieval

[1]  C. M. Cheah,et al.  Development of a Tissue Engineering Scaffold Structure Library for Rapid Prototyping. Part 2: Parametric Library and Assembly Program , 2003 .

[2]  Ernesto Bribiesca,et al.  An easy measure of compactness for 2D and 3D shapes , 2008, Pattern Recognit..

[3]  Ming Ouhyoung,et al.  On Visual Similarity Based 3D Model Retrieval , 2003, Comput. Graph. Forum.

[4]  Francoise J. Preteux,et al.  Hough transform-based 3D mesh retrieval , 2001, SPIE Optics + Photonics.

[5]  Ismail Khalid Kazmi,et al.  A Survey of 2D and 3D Shape Descriptors , 2013, 2013 10th International Conference Computer Graphics, Imaging and Visualization.

[6]  Iasonas Kokkinos,et al.  Scale-invariant heat kernel signatures for non-rigid shape recognition , 2010, 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[7]  Paul Suetens,et al.  Isometric Deformation Modelling for Object Recognition , 2009, CAIP.

[8]  Chi Zhou,et al.  Vectorization of persistence barcode with applications in pattern classification of porous structures  , 2020, Comput. Graph..

[9]  Hongwei Lin,et al.  Progressive and iterative approximation for least squares B-spline curve and surface fitting , 2014, Comput. Aided Des..

[10]  Ioannis Pratikakis,et al.  Efficient 3D shape matching and retrieval using a concrete radialized spherical projection representation , 2007, Pattern Recognit..

[11]  R. Ghrist.  Barcodes: The persistent topology of data , 2007 .

[12]  Afzal Godil,et al.  A new convexity measurement for 3D meshes , 2012, 2012 IEEE Conference on Computer Vision and Pattern Recognition.

[13]  Jiawei Feng,et al.  Porous scaffold design by solid T-splines and triply periodic minimal surfaces , 2018, Computer Methods in Applied Mechanics and Engineering.

[14]  Herbert Edelsbrunner,et al.  Topological Persistence and Simplification , 2000, Proceedings 41st Annual Symposium on Foundations of Computer Science.

[15]  Raif M. Rustamov,et al.  Laplace-Beltrami eigenfunctions for deformation invariant shape representation , 2007 .

[16]  Leonidas J. Guibas,et al.  A concise and provably informative multi-scale signature based on heat diffusion , 2009 .

[17]  Maciej Haranczyk,et al.  Addressing Challenges of Identifying Geometrically Diverse Sets of Crystalline Porous Materials , 2012, J. Chem. Inf. Model..

[18]  Jian Sun,et al.  Bayesian Face Revisited: A Joint Formulation , 2012, ECCV.

[19]  Szymon Rusinkiewicz,et al.  Rotation Invariant Spherical Harmonic Representation of 3D Shape Descriptors , 2003, Symposium on Geometry Processing.

[20]  Hongwei Lin,et al.  The Convergence of Least-Squares Progressive Iterative Approximation for Singular Least-Squares Fitting System , 2018, J. Syst. Sci. Complex..

[21]  Hongwei Lin,et al.  An Efficient Method for Fitting Large Data Sets Using T-Splines , 2013, SIAM J. Sci. Comput..

[22]  D. Yoo.  Porous scaffold design using the distance field and triply periodic minimal surface models. , 2011, Biomaterials.

[23]  Daniel Cohen-Or,et al.  MeshCNN: a network with an edge , 2019, ACM Trans. Graph..

[24]  Leonidas J. Guibas,et al.  Shape google: Geometric words and expressions for invariant shape retrieval , 2011, TOGS.

[25]  Eric Wahl,et al.  Surflet-pair-relation histograms: a statistical 3D-shape representation for rapid classification , 2003, Fourth International Conference on 3-D Digital Imaging and Modeling, 2003. 3DIM 2003. Proceedings..

[26]  Ali Shokoufandeh,et al.  Computer-aided design of porous artifacts , 2005, Comput. Aided Des..

[27]  Michael O’Keeffe,et al.  The Chemistry and Applications of Metal-Organic Frameworks , 2013, Science.

[28]  Jacek Klinowski,et al.  Nodal surface approximations to the P,G,D and I-WP triply periodic minimal surfaces , 2001 .

[29]  Paweł Dłotko,et al.  Quantifying similarity of pore-geometry in nanoporous materials , 2017, Nature Communications.

[30]  Shi-Min Hu,et al.  Qualitative organization of collections of shapes via quartet analysis , 2013, ACM Trans. Graph..

[31]  Henry Adams,et al.  Persistence Images: A Stable Vector Representation of Persistent Homology , 2015, J. Mach. Learn. Res..

[32]  Ziyu Zhang,et al.  Additive manufactured porous titanium structures: Through-process quantification of pore and strut networks , 2014 .

[33]  Michael W Deem,et al.  A database of new zeolite-like materials. , 2011, Physical chemistry chemical physics : PCCP.

[34]  Thomas A. Funkhouser,et al.  The Princeton Shape Benchmark , 2004, Proceedings Shape Modeling Applications, 2004..

[35]  Sooithor Tan,et al.  An Approach of Irregular Porous Structure Modeling Based on Subdivision and NURBS , 2013 .

[36]  Yosi Keller,et al.  Scale-Invariant Features for 3-D Mesh Models , 2012, IEEE Transactions on Image Processing.

[37]  Karthik Ramani,et al.  Temperature distribution descriptor for robust 3D shape retrieval , 2011, CVPR 2011 WORKSHOPS.

[38]  Afra Zomorodian,et al.  Computing Multidimensional Persistence , 2009, J. Comput. Geom..

[39]  Afra Zomorodian,et al.  The Theory of Multidimensional Persistence , 2009, Discret. Comput. Geom..

[40]  Chee Kai Chua,et al.  Development of a Tissue Engineering Scaffold Structure Library for Rapid Prototyping. Part 1: Investigation and Classification , 2003 .

[41]  Bernard Chazelle,et al.  Shape distributions , 2002, TOGS.

[42]  Wenping Wang,et al.  A 3D shape descriptor based on spectral analysis of medial axis , 2015, Comput. Aided Geom. Des..

[43]  Peter Bubenik,et al.  Statistical topological data analysis using persistence landscapes , 2012, J. Mach. Learn. Res..

[44]  Kuntao Zhou,et al.  Effective method for multi-scale gradient porous scaffold design and fabrication. , 2014, Materials science & engineering. C, Materials for biological applications.

[45]  Afzal Godil,et al.  Visual Similarity Based 3D Shape Retrieval Using Bag-of-Features , 2010, 2010 Shape Modeling International Conference.

[46]  Jianwei Guo,et al.  Learning local shape descriptors for computing non-rigid dense correspondence , 2020, Computational Visual Media.

[47]  R. Horaud,et al.  Surface feature detection and description with applications to mesh matching , 2009, 2009 IEEE Conference on Computer Vision and Pattern Recognition.

[48]  David Moloney,et al.  3D Object Recognition Based on Volumetric Representation Using Convolutional Neural Networks , 2016, AMDO.

[49]  Afra Zomorodian,et al.  Computing Persistent Homology , 2005, Discret. Comput. Geom..

[50]  Hongwei Lin,et al.  Curve guided T-spline skinning for surface and solid generation , 2020, Comput. Graph..

[51]  Paul Suetens,et al.  SHREC '11 Track: Shape Retrieval on Non-rigid 3D Watertight Meshes , 2011, 3DOR@Eurographics.

[52]  Michael G. Strintzis,et al.  Shape matching using the 3D Radon transform , 2004, Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004..

[53]  Peng Song.  Local voxelizer: A shape descriptor for surface registration , 2015, Computational Visual Media.