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Sketch-based subdivision models

A. Nasri, W. Bou Karam, F. Samavati
2009 Proceedings of the 6th Eurographics Symposium on Sketch-Based Interfaces and Modeling - SBIM '09  
Designing a control mesh (or a polyhedron) for a subdivision model is a tedious task.  ...  The corresponding limit surface interpolates the profile curves with the capability of local control across these curves and of the model in general.  ...  Polygonal complexes were introduced by Nasri [Nas00] in the context of interpolating curves by subdivision surfaces.  ... 
doi:10.1145/1572741.1572751 fatcat:h55oglabqvhsznt6toiyuqnzte

Sketch-Based Subdivision Models [article]

A. Nasriy, W. Bou Karam, F. Samavati
2009 Sketch-Based Interfaces and Modeling  
Designing a control mesh (or a polyhedron) for a subdivision model is a tedious task.  ...  The corresponding limit surface interpolates the profile curves with the capability of local control across these curves and of the model in general.  ...  Polygonal complexes were introduced by Nasri [Nas00] in the context of interpolating curves by subdivision surfaces.  ... 
doi:10.2312/sbm/sbm09/053-060 fatcat:qpdqctrwtrdqhn4j33cxc3th4a

Generating a smooth voxel-based model from an irregular polygon mesh

Daniel Cohen, Arie Kaufman, Yingxing Wang
1994 The Visual Computer  
A method for generating a smooth voxelbased model from an arbitrary polygon mesh is presented.  ...  It is based on a polygonal subdivision process which takes an irregular polygon mesh as input and creates a finer and smoother mesh.  ...  We would also like to thank Chichuang Dzeng for writing the routine that coordinates the normals of polygon meshes.  ... 
doi:10.1007/bf01900824 fatcat:vkzvti4a4nhjjmccgfd4ifutj4

Recursive subdivision of polygonal complexes and its applications in computer-aided geometric design

Ahmad H. Nasri
2000 Computer Aided Geometric Design  
A method for subdividing polygonal complexes and identifying conditions to control their limit curves is presented.  ...  We formulate this problem and establish a general theory which has a number of applications in CAGD such as the generation of subdivision surfaces through predefined arbitrary network of curves.  ...  Acknowledgements This work was supported by a research grant from the American University of Beirut. The author would like to thank Prof. Abdallah Lyzzaik for his valuable comments.  ... 
doi:10.1016/s0167-8396(00)00015-7 fatcat:3dnlrk4ipvdutlpwxuryf5r3mq

Subdivision interpolating implicit surfaces

Xiaogang Jin, Hanqiu Sun, Qunsheng Peng
2003 Computers & graphics  
This paper presents subdivision interpolating implicit surfaces, a new progressive subdivision tessellation scheme for interpolating implicit surfaces controlled by a triangular mesh with arbitrary topology  ...  Based on this approach, a newly surface modeling tool with more flexible control is developed by blending the interpolating subdivision surfaces with the subdivision interpolating implicit surfaces. r  ...  Acknowledgements The authors are grateful to Greg Turk for his help on providing the PLY models of the paper. We are also grateful to the anonymous reviewers for their constructive suggestions.  ... 
doi:10.1016/s0097-8493(03)00149-3 fatcat:tf4yriqywbapjke4gtfcksjusm

A Unified Interpolating Subdivision Scheme for Curves/Surfaces by Using Newton Interpolating Polynomial

Faheem Khan, Irem Mukhtar, Noreen Batool
2013 Open Journal of Applied Sciences  
This paper presents a general formula for (2m + 2)-point n-ary interpolating subdivision scheme for curves for any integer m ≥ 0 and n ≥ 2 by using Newton interpolating polynomial.  ...  Tensor product of 4-point binary approximating scheme: (a)-(d) show the initial polygon, 1st-, 2nd-subdivision levels and limit surface respectively.  ...  Acknowledgements The authors are pleased to acknowledge the mysterious referees for their careful reading of the manuscript and precious comments, which made this manuscript more constructive.  ... 
doi:10.4236/ojapps.2013.33033 fatcat:qsfzda3qrvagdc7kdrtzmzfj4e

Geodesic Bezier Curves: a Tool for Modeling on Triangulations

Dimas Martinez Morera, Paulo Cezar Carvalho, Luiz Velho
2007 Computer Graphics and Image Processing (SIBGRAPI), Proceedings of the Brazilian Symposium on  
Modeling on the surface of a cow. From left: the control polygons of some curves and a C 1 spline, the corresponding curves, a region is filled and other is trimmed, final result.  ...  Abstract We define a new class of curves, called geodesic Bézier curves, that are suitable for modeling on manifold triangulations.  ...  VISGRAF Laboratory is sponsored by CNPq, FAPERJ, FINEP and IBM Brazil.  ... 
doi:10.1109/sibgra.2007.4368170 fatcat:qefiwon6qban3ljok44e2hfyze

Geodesic Bezier Curves: a Tool for Modeling on Triangulations

Dimas Martinez Morera, Paulo Cezar Carvalho, Luiz Velho
2007 XX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI 2007)  
Modeling on the surface of a cow. From left: the control polygons of some curves and a C 1 spline, the corresponding curves, a region is filled and other is trimmed, final result.  ...  Abstract We define a new class of curves, called geodesic Bézier curves, that are suitable for modeling on manifold triangulations.  ...  VISGRAF Laboratory is sponsored by CNPq, FAPERJ, FINEP and IBM Brazil.  ... 
doi:10.1109/sibgrapi.2007.38 dblp:conf/sibgrapi/MoreraCV07 fatcat:onccpu3eoncm5npkpkzloojmp4

A Colour Interpolation Scheme for Topologically Unrestricted Gradient Meshes

Henrik Lieng, Jiří Kosinka, Jingjing Shen, Neil A. Dodgson
2016 Computer graphics forum (Print)  
These extensions make subdivision a viable option for interpolating arbitrary-topology gradient meshes for 2D vector graphics.  ...  Our new interpolation method relaxes this restriction by supporting arbitrary manifold topology of the input gradient mesh.  ...  We are not aware of any previous method that applies such special rules in a subdivision procedure for the purpose of interpolating a gradient mesh for 2D vector graphics.  ... 
doi:10.1111/cgf.12862 fatcat:fuq2gev5xfbsbjep6zp6kmvp64

Subdivision Curves on Surfaces and Applications [chapter]

Dimas Martínez Morera, Luiz Velho, Paulo Cezar Carvalho
2008 Lecture Notes in Computer Science  
It works by translating to the triangulation a perturbation of a planar binary subdivision.  ...  Subdivision curves have great importance for many CAD/ CAM applications.. In this paper we propose a simple method to define subdivision schemes on triangulations.  ...  VISGRAF Laboratory is sponsored by CNPq, FAPERJ, FINEP and IBM Brazil.  ... 
doi:10.1007/978-3-540-85920-8_50 fatcat:3bdtbwr73bekjjzhpeive25zvy

Taxonomy of interpolation constraints on recursive subdivision surfaces

Ahmad H. Nasri, Malcolm A. Sabin
2002 The Visual Computer  
This is the second of two papers which describe and classify situations which any complete study of interpolation constraints for a recursive subdivision surface needs to consider.  ...  It addresses surface interpolation constraints, building upon the concepts and categories introduced in the first paper, on interpolation constraints on recursive subdivision curves.  ...  Thanks are due to the American University of Beirut, the Lebanese National Council for Scientific Research, and the Royal Society of London for supporting this work.  ... 
doi:10.1007/s003710100155 fatcat:m5vbcowrdfgaflpw6df7ti5dhq

Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches

Xuefu Wang, Fuhua (Frank) Cheng, Brian A. Barsky
1999 Proceedings of the fifth ACM symposium on Solid modeling and applications - SMA '99  
The new approach treats all these problems as a surface fitting problem by first restructuring the given mesh to obtain a new mesh suitable for network curves construction, and then filling all the holes  ...  In this paper a unified method for blending, smoothing and interpolation of irregular meshes of arbitrary topological lype using Varudy patches is presented.  ...  This work was supported in part by NSF DMI-9400823( "New Computation Techniques for Shape Modeling and Design"). Travel support for the first author was provided by Softimage Co.  ... 
doi:10.1145/304012.304034 dblp:conf/sma/WangCB99 fatcat:dsk7bjszzzdk7bzwj5xwx6tddi

Smooth meshes for sketch-based freeform modeling

Takeo Igarashi, John F. Hughes
2007 ACM SIGGRAPH 2007 courses on - SIGGRAPH '07  
Our approach generates a dense, visually smooth polygonal mesh by beautifying and refining the original rough mesh.  ...  Refinement generates a smooth, dense mesh by subdividing the beautified mesh and moving the vertices to the interpolative surface.  ...  The user can use the mesh as a lightweight polygonal model or as a control mesh for subdivision 1 , and can also store the visible mesh if a dense polygonal mesh is desired.  ... 
doi:10.1145/1281500.1281533 dblp:conf/siggraph/IgarashiH07a fatcat:frniuuji4jdchikobu42ysowdi

Smooth meshes for sketch-based freeform modeling

Takeo Igarashi, John F. Hughes
2003 Proceedings of the 2003 symposium on Interactive 3D graphics - SI3D '03  
Our approach generates a dense, visually smooth polygonal mesh by beautifying and refining the original rough mesh.  ...  Refinement generates a smooth, dense mesh by subdividing the beautified mesh and moving the vertices to the interpolative surface.  ...  The user can use the mesh as a lightweight polygonal model or as a control mesh for subdivision 1 , and can also store the visible mesh if a dense polygonal mesh is desired.  ... 
doi:10.1145/641480.641507 dblp:conf/si3d/IgarashiH03 fatcat:umltv265wrc4xpfkzvnhzfahdu

Smooth meshes for sketch-based freeform modeling

Takeo Igarashi, John F. Hughes
2006 ACM SIGGRAPH 2006 Courses on - SIGGRAPH '06  
Our approach generates a dense, visually smooth polygonal mesh by beautifying and refining the original rough mesh.  ...  Refinement generates a smooth, dense mesh by subdividing the beautified mesh and moving the vertices to the interpolative surface.  ...  The user can use the mesh as a lightweight polygonal model or as a control mesh for subdivision 1 , and can also store the visible mesh if a dense polygonal mesh is desired.  ... 
doi:10.1145/1185657.1185774 dblp:conf/siggraph/IgarashiH06a fatcat:5kcsvnrnynaqboxv6lhlyqoome
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