High-quality tree structures modelling using local convolution surface approximation
详细信息    查看全文
  • 作者:Xiaoqiang Zhu (1) (2)
    Xiaogang Jin (1)
    Lihua You (3)

    1. State Key Lab of CAD&CG
    ; Zhejiang University ; Hangzhou ; 310058 ; People鈥檚 Republic of China
    2. School of Communication and Information Engineering
    ; Shanghai University ; Shanghai ; 200444 ; People鈥檚 Republic of China
    3. National Center for Computer Animation
    ; Bournemouth University ; Bournemouth ; UK
  • 关键词:Tree modelling ; Convolution surfaces ; CUDA ; Subdivision surfaces ; Quadrilateral meshes
  • 刊名:The Visual Computer
  • 出版年:2015
  • 出版时间:January 2015
  • 年:2015
  • 卷:31
  • 期:1
  • 页码:69-82
  • 全文大小:3,861 KB
  • 参考文献:1. Akkouche, S., Galin, E.: Adaptive implicit surface polygonization using marching triangles. Comput. Graph. Forum 20(2), 67鈥?0 (2001) CrossRef
    2. Alexe, A., Barthe, L., Cani, M.P., Gaildrat, V.: Shape modelling by sketching using convolution surfaces. In: Pacific Graphics (Short Papers) (2005)
    3. Alexe, A., Barthe, L., Gaildrat, V., Cani, M.: A sketch-based modelling system using convolution surfaces. In: Technical Report IRIT鈥?005鈥?7-R
    4. Alexe, A., Gaildrat, V., Barthe, L.: Interactive modelling from sketches using spherical implicit functions. In: Proceedings of the 3rd International Conference on Computer Graphics, Virtual Reality, Visualisation and Interaction in Africa, AFRIGRAPH 鈥?4, pp. 25鈥?4. ACM, New York (2004)
    5. Angelidis, A., Jepp, P., Cani, M.P.: Implicit modelling with skeleton curves: controlled blending in contact situations. In: Proceedings of the Shape Modeling International 2002 (SMI鈥?2), SMI 鈥?2, pp. 137鈥?44. IEEE Computer Society, Washington, DC (2002)
    6. Au, O., Tai, C., Chu, H., Cohen-Or, D., Lee, T.: Skeleton extraction by mesh contraction. In: ACM SIGGRAPH 2008, SIGGRAPH鈥?8, pp. 44:1鈥?4:10. ACM, New York (2008)
    7. Bernhardt, A., Pihuit, A., Cani, M.P., Barthe, L.: Matisse: painting 2d regions for modeling free-form shapes. In: EUROGRAPHICS Workshop on Sketch-Based Interfaces and Modeling, SBIM鈥?8, pp. 57鈥?4. Eurographics Association, Annecy (2008)
    8. Bloomenthal, J.: An implicit surface polygonizer. In: Graphics Gems IV, pp. 324鈥?49. Academic Press, San Diego (1994)
    9. Bloomenthal, J., Shoemake, K.: Convolution surfaces. Comput. Graph. 25(4), 251鈥?56 (1991) CrossRef
    10. Bottino, A., Nuij, W., Overveld, K.v.: How to shrinkwrap a sadle-point: an algorithm for the adaptive triangulation of iso-surfaces with arbitrary topology. In: Proceedings Eindhoven Implicit Surfaces, Workshop (1996)
    11. Bucksch, A., Lindenbergh, R., Menenti, M.: Skeltre-fast skeletonization for imperfect point cloud data of botanic trees. In: EG Workshop on 3D Object Retrieval, pp. 13鈥?7 (2009)
    12. Bunnell, M.: Adaptive Tessellation of Subdivision Surfaces with Displacement Mapping. In: GPU Gems 2. Addison Wesley Professional, Boston (2005)
    13. Cao, J., Tagliasacchi, A., Olson, M., Zhang, H., Su, Z.: Point cloud skeletons via laplacian-based contraction. In: Proceedings of the IEEE Conference on Shape Modeling and Applications, SMI鈥?0, pp. 187鈥?97. IEEE Computer Society, Washington, DC (2010)
    14. Catmull, E., Clark, J.: Recursively generated b-spline surfaces on arbitrary topological meshes. Comput. Aided Des. 10(6), 350鈥?55 (1978) CrossRef
    15. Chen, X., Neubert, B., Xu, Y., Deussen, O., Kang, S.: Sketch-based tree modeling using markov random field. ACM Trans. Graph. 27(5), 1鈥? (2008) CrossRef
    16. Deussen, O., Lintermann, B.: Digital Design of Nature: Computer Generated Plants and Organs. Springer, New York (2005)
    17. Doo, D., Sabin, M.: Behavior of recursive division surfaces near extraodinary points. Comput. Aided Des. 10(6), 356鈥?60 (1978) CrossRef
    18. Fabri, A., Giezeman, G.J., Kettner, L., Schirra, S., Schonherr, S.: On the design of cgal a computational geometry algorithms library. Software Pract. Exper. 30(11), 1167鈥?202 (2000) CrossRef
    19. Galbraith, C., M眉ndermann, L., Wyvill, B.: Implicit visualization and inverse modeling of growing trees. Comput. Graph. Forum 23, 351鈥?60 (2004) CrossRef
    20. Gourmel, O., Barthe, L., Cani, M.P., Wyvill, B., Bernhardt, A., Paulin, M., Grasberger, H.: A gradient-based implicit blend. ACM Trans. Graph. 32(2), 12:1鈥?2:12 (2013) CrossRef
    21. Hart, J.C., Baker, B.: Implicit modeling of tree surfaces. In: Implicit Surfaces 鈥?6, pp. 143鈥?52 (1996)
    22. Hubert, E.: Convolution surfaces based on polygons for infinite and compact support kernels. Graph. Models 74(1), 1鈥?3 (2012) CrossRef
    23. Hubert, E., Cani, M.P.: Convolution surfaces based on polygonal curve skeletons. J. Symb. Comput. 47(6), 680鈥?99 (2012) CrossRef
    24. Ji, Z., Liu, L., Wang, Y.: B-mesh: a modeling system for base meshes of 3d articulated shapes. Comput. Graph. Forum 29(7), 2169鈥?178 (2010) CrossRef
    25. Jin, X., Tai, C.: Analytical methods for polynomial weighted convolution surfaces with various kernels. Comput. Graph. 26(3), 437鈥?47 (2002) CrossRef
    26. Jin, X., Tai, C.: Convolution surfaces for arcs and quadratic curves with a varying kernel. Vis. Comput. 18(8), 530鈥?46 (2002) CrossRef
    27. Jin, X., Tai, C., Zhang, H.: Implicit modeling from polygon soup using convolution. Vis. Comput. 25(3), 279鈥?88 (2009) CrossRef
    28. Kettner, L.: \(\sqrt{3}\) subdivision. In: ACM SIGGRAPH 2000, SIGGRAPH鈥?0, pp. 103鈥?12. ACM, New York (2000)
    29. Lin, J., Jin, X., Wang, C.C.: Fusion of disconnected mesh components with branching shape. Vis. Comput. 26(6鈥?), 1017鈥?025 (2010) CrossRef
    30. Lindenmayer, A.: Mathematical models for cellular interactions in development ii. simple and branching filaments with two-sided inputs. J. Theor. Biol. 18(3), 300鈥?15 (1968) CrossRef
    31. Livny, Y., Yan, F., Olson, M., Chen, B., Zhang, H., El-sana, J.: Automatic reconstruction of tree skeletal structures from point clouds. In: ACM SIGGRAPH Asia 2010, SIGGRAPH ASIA鈥?0, pp. 151:1鈥?51:8. ACM, New York (2010)
    32. Lluch, J., Viv, R., Monserrat, C.: Modelling tree structures using a single polygonal mesh. Graph. Models 66(2), 89鈥?01 (2004) CrossRef
    33. Longay, S., Runions, A., Boudon, F., Prusinkiewicz, P.: Treesketch: interactive procedural modeling of trees on a tablet. In: Proceedings of the International Symposium on Sketch-Based Interfaces and Modeling, SBIM 鈥?2, pp. 107鈥?20. Eurographics Association, Aire-la-Ville (2012)
    34. Loop, C.: Smooth subdivision surfaces based on triangles. Master鈥檚 Thesis, Department of Mathematics, University of Utah (1987)
    35. Loop, C., Schaefer, S., Ni, T., Castano, I.: Approximating subdivision surfaces with gregory patches for hardware tesselation. ACM Trans. Graph. 28(5), 1鈥? (2009) CrossRef
    36. Mar茅chal, N., Galin, E., Gu茅rin, E., Akkouche, S.: Component-based model synthesis for low polygonal models. In: Proceedings of Graphics Interface 2010, GI 鈥?0, pp. 217鈥?24. Canadian Information Processing Society, Toronto (2010)
    37. McCormack, J., Sherstyuk, A.: Creating and rendering convolution surfaces. Comput. Graph. Forum 17(2), 113鈥?20 (1998) CrossRef
    38. Neubert, B., Franken, T., Deussen, O.: Approximate image-based tree-modeling using particle flows. ACM Trans. Graph. 26(3), 88鈥?5 (2007) CrossRef
    39. Okabe, M., Owada, S., Igarashi, T.: Ineractive design of botanical trees using freehand sketches and example-based editing. Comput. Graph. Forum 24(3), 487鈥?96 (2005) CrossRef
    40. Overveld, K.v., Wyvill, B.: Shrinkwrap: an efficient adaptive algorithm for triangulating an iso-surface. Vis. Comput 20(6), 362鈥?69 (2004)
    41. Palubicki, W., Horel, K., Longay, S., Runions, A., Lane, B., Mech, R., Prusinkiewicz, P.: Self-organizing tree models for image synthesis. In: ACM SIGGRAPH 2009, SIGGRAPH鈥?9, pp. 1鈥?0. ACM, New York (2009)
    42. Patney, A., Ebeida, M.S., Owens, J.D.: Parallel view-dependent tessellation of catmull-clark subdivision surfaces. In: Proceedings of the Conference on High Performance Graphics 2009, HPG鈥?9, pp. 99鈥?08. ACM, New York (2009)
    43. Pirk, S., Stava, O., Kratt, J., Said, M.A.M., Neubert, B., M臎ch, R., Benes, B., Deussen, O.: Plastic trees: interactive self-adapting botanical tree models. ACM Trans. Graph. 31(4), 50:1鈥?0:10 (2012) CrossRef
    44. Reche-Martinez, A., Martin, I., Drettakis, G.: Volumetric reconstruction and interactive rendering of trees from photographs. ACM Trans. Graph. 23(3), 720鈥?27 (2004) CrossRef
    45. Schmidt, R., Singh, K.: Meshmixer: an interface for rapid mesh composition. In: ACM SIGGRAPH 2010 Talks, SIGGRAPH鈥?0, pp. 6:1鈥?:1. ACM, New York (2010)
    46. Schwarz, M., Stamminger, M.: Fast gpu-based adaptive tessellation with cuda. Comput. Graph. Forum 28(2), 365鈥?74 (2009) CrossRef
    47. Sherstyuk, A.: Kernel functions in convolution surfaces: a comparative analysis. Vis. Comput. 15(4), 171鈥?82 (1999) CrossRef
    48. Sovakar, A., Kobbelt, L.: Api design for adaptive subdivision schemes. Comput. Graph. 28(1), 67鈥?2 (2004) CrossRef
    49. Tai, C., Zhang, H., Fong, C.: Prototype modeling from sketched silhouettes based on convolution surfaces. Comput. Graph. Forum 23(4), 71鈥?3 (2004) CrossRef
    50. Talton, J.O., Lou, Y., Lesser, S., Duke, J., Mech, R., Koltun, V.: Metropolis procedural modeling. ACM Trans. Graph. 30(2), 11:1鈥?1:14 (2011) CrossRef
    51. Tan, P., Fang, T., Xiao, J., Zhao, P., Quan, L.: Single image tree modeling. ACM Trans. Graph. 27(5), 1鈥? (2008) CrossRef
    52. Tan, P., Zeng, G., Wang, J., Kang, S.B., Quan, L.: Image-based tree modeling. In: ACM SIGGRAPH 2007, SIGGRAPH鈥?7, pp. 87鈥?3. ACM, New York (2007)
    53. Vaillant, R., Barthe, L., Guennebaud, G., Cani, M.P., Rohmer, D., Wyvill, B., Gourmel, O., Paulin, M.: Implicit skinning: real-time skin deformation with contact modeling. ACM Trans. Graph. 32(4), 125:1鈥?25:12 (2013) CrossRef
    54. Wither, J., Boudon, F., Cani, M.P., Godin, C.: Structure from silhouettes: a new paradigm for fast sketch-based design of trees. Comput. Graph. Forum 28(2), 541鈥?50 (2009) CrossRef
    55. Wyvill, G., McPheeters, C., Wyvill, B.: Data structure for soft objects. Vis. Comput. 2(4), 227鈥?34 (1986) CrossRef
    56. Xia, J., Garcia, I., He, Y., Xin, S.Q., Patow, G.: Editable polycube map for gpu-based subdivision surfaces. In: Symposium on Interactive 3D Graphics and Games 2011, I3D鈥?1, pp. 151鈥?58. ACM, New York (2011)
    57. Xu, H., Gossett, N., Chen, B.: Knowledge and heuristic-based modeling of laser-scanned trees. ACM Trans. Graph. 26(4), 19鈥?1 (2007) CrossRef
    58. Zanni, C., Bernhardt, A., Quiblier, M., Cani, M.P.: Scale-invariant integral surfaces. Comput. Graph. Forum. doi:10.1111/cgf.12199
    59. Zhu, X., Guo, X., Jin, X.: Efficient polygonization of tree trunks modeled by convolution surfaces. Sci. China Ser. F 56(3), 1鈥?2 (2013)
    60. Zhu, X., Jin, X., Liu, S., Zhao, H.: Analytical solutions for sketch-based convolution surface modeling on the gpu. Vis. Comput. 28(11), 1115鈥?125 (2012) CrossRef
  • 刊物类别:Computer Science
  • 刊物主题:Computer Graphics
    Computer Science, general
    Artificial Intelligence and Robotics
    Image Processing and Computer Vision
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1432-2315
文摘
In this paper, we propose a local convolution surface approximation approach for quickly modelling tree structures with pleasing visual effect. Using our proposed local convolution surface approximation, we present a tree modelling scheme to create the structure of a tree with a single high-quality quad-only mesh. Through combining the strengths of the convolution surfaces, subdivision surfaces and GPU, our tree modelling approach achieves high efficiency and good mesh quality. With our method, we first extract the line skeletons of given tree models by contracting the meshes with the Laplace operator. Then we approximate the original tree mesh with a convolution surface based on the extracted skeletons. Next, we tessellate the tree trunks represented by convolution surfaces into quad-only subdivision surfaces with good edge flow along the skeletal directions. We implement the most time-consuming subdivision and convolution approximation on the GPU with CUDA, and demonstrate applications of our proposed approach in branch editing and tree composition.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700