[1]
|
Jamin, C., Alliez, P., Yvinec, M. and Boissonnat, J.-D. (2015) CGALmesh: A Generic Framework for Delaunay Mesh Generation. ACM Transactions on Mathematical Software, 41, 1-24. https://doi.org/10.1145/2699463
|
[2]
|
Guo, J., Ding, F., Jia, X. and Yan, D.-M. (2019) Automatic and High-Quality Surface Mesh Generation for CAD Models. Computer-Aided Design, 109, 49-59. https://doi.org/10.1016/j.cad.2018.12.005
|
[3]
|
Sabin, M. (1968) The Use of Potential Surfaces for Numerical Geometry. British Aircraft Corporation, Weybridge.
|
[4]
|
Ricci, A. (1973) A Construc-tive Geometry for Computer Graphics. The Computer Journal, 16, 157-160.
https://doi.org/10.1093/comjnl/16.2.157
|
[5]
|
Jamriška, O. (2010) Interactive Ray Tracing of Distance Fields. The 14th Central European Seminar on Computer Graphics, Budmerice, 10-12 May 2010, 1-7.
|
[6]
|
Bloomenthal, J., Bajaj, C., Blinn, J., Cani, M.-P., Rockwood, A., Wyvill, B., et al. (1997) Introduction to Implicit Surfaces. Morgan Kaufmann, Burlington.
|
[7]
|
Kazhdan, M., Bolitho, M. and Hoppe, H. (2006) Poisson Surface Reconstruction. Proceedings of the 4th Eurographics Symposium on Geometry Processing, Sardinia, 26-28 June 2006, 61-70.
|
[8]
|
Pan, M., Tong, W. and Chen, F. (2016) Compact Implicit Surface Reconstruction via Low-Rank Tensor Approximation. Computer-Aided De-sign, 78, 158-167. https://doi.org/10.1016/j.cad.2016.05.007
|
[9]
|
Pasko, A., Adzhiev, V., Sourin, A. and Savchenko, V. (1995) Function Representation in Geometric Modeling: Concepts, Implementation and Applications. The Visual Computer, 11, 429-446. https://doi.org/10.1007/BF02464333
|
[10]
|
Cani-Gascuel, M. and Desbrun, M. (1997) Animation of Deformable Models using Implicit Surfaces. IEEE Transactions on Visualization and Computer Graphics, 3, 39-50. https://doi.org/10.1109/2945.582343
|
[11]
|
Wyvill, B., Guy, A. and Galin, E. (1999) Extending the CSG Tree. Warping, Blending and Boolean Operations in an Implicit Surface Modeling System. Computer Graphics Forum, 18, 149-158. https://doi.org/10.1111/1467-8659.00365
|
[12]
|
McInemey, T. and Terzopoulos, D. (1999) Topology Adaptive Deformable Surfaces for Medical Image Volume Segmentation. IEEE Transactions on Medical Im-aging, 18, 840-850. https://doi.org/10.1109/42.811261
|
[13]
|
Shapiro, V. (2002) Solid Modeling. In: Farin, G., Hoschek, J. and Kim, M.-S., Eds., Handbook of Computer Aided Geometric Design, North Holland, Amsterdam, 473-518. https://doi.org/10.1016/B978-044451104-1/50021-6
|
[14]
|
Stroud, I. (2006) Boundary Representation Modelling Techniques. Springer-Verlag, London.
|
[15]
|
Baumgart, B.G. (1974) Geometric Modelling for Computer Vi-sion. Stanford University, Suburban.
|
[16]
|
Weiler, K. (1985) Edge-Based Data Structures for Solid Modeling in Curved-Surface Environments. IEEE Computer Graphics and Applications, 5, 21-40. https://doi.org/10.1109/MCG.1985.276271
|
[17]
|
Goldman, R. (2009) An Integrated Introduction to Computer Graphics and Geometric Modeling. CRC Press, Boca Raton. https://doi.org/10.1201/9781439803356
|
[18]
|
Foley, J.D. (1996) 12.7 Constructive Solid Geometry. In: Foley, J.D., van Dam, A., Feiner, S.K., Hughes, J., McGuire, M., Sklar, D.F. and Akeley, K., Eds., Computer Graphics: Principles and Practice, Addison-Wesley Professional, Boston, 557-558.
|
[19]
|
Wikipedia (2019) Constructive Solid Geometry. https://en.wikipedia.org/wiki/Constructive_solid_geometry
|
[20]
|
Kuchkuda, R. (1988) An Introduction to Ray Tracing. In: Earnshaw, R.A., Theoretical Foundations of Computer Graphics and CAD, Springer, Berlin, Heidelberg, 1039-1060. https://doi.org/10.1007/978-3-642-83539-1_44
|
[21]
|
Yamaguchi, K., Kunii, T., Fujimura, K. and Tori-ya, H. (1984) Octree-Related Data Structures and Algorithms. IEEE Computer Graphics and Applications, 4, 53-59. https://doi.org/10.1109/MCG.1984.275901
|
[22]
|
Foley, J.D., Van Dam, A., Feiner, S.K., Hughes, J. and McGuire, M. (1996) Computer Graphics: Principles and Practice. Addison-Wesley Professional, Boston.
|
[23]
|
Rao, S.S. (2018) The Finite Element Method in Engineering. 6th Edition, Elsevier, Amsterdam.
|
[24]
|
Cheng, S., Dey, T.K. and Levine, J.A. (2008) A Practical Delaunay Meshing Algorithm for a Large Class of Domains. In: Brewer, M.L. and Marcum, D., Eds., Proceedings of the 16th International Meshing Roundtable, Springer, Berlin, Heidelberg, 477-494. https://doi.org/10.1007/978-3-540-75103-8_27
|
[25]
|
Löhner, R. (2014) Recent Advances in Parallel Advancing Front Grid Generation. Archives of Computational Methods in Engineering, 21, 127-140. https://doi.org/10.1007/s11831-014-9098-8
|
[26]
|
De Araújo, B.R., Lopes, D.S., Jepp, P., Jorge, J.A. and Wyvill, B. (2015) A Survey on Implicit Surface Polygonization. ACM Computing Surveys (CSUR), 47, Article No. 60. https://doi.org/10.1145/2732197
|
[27]
|
Barthe, L., Mora, B., Dodgson, N. and Sabin, M. (2002) Interactive Implicit Modelling Based on C1 Continuous Reconstruction of Regular Grids. International Journal of Shape Modeling, 8, 99-117.
https://doi.org/10.1142/S021865430200008X
|
[28]
|
Reiner, T., Mückl, G. and Dachsbacher, C. (2011) Interactive Modeling of Implicit Surfaces Using a Direct Visualization Approach with Signed Distance Functions. Computers & Graphics, 35, 596-603.
https://doi.org/10.1016/j.cag.2011.03.010
|
[29]
|
Barbier, A., Galin, E. and Akkouche, S. (2005) A Framework for Modeling, Animating, and Morphing Textured Implicit Models. Graphical Models, 67, 166-188. https://doi.org/10.1016/j.gmod.2004.06.006
|
[30]
|
Rigaudière, D., Gesquière, G. and Faudot, D. (2000) Shape Modelling with Skeleton Based Implicit Primitives. International Conference Graphicon 2000, Moscow, 174-178.
|
[31]
|
Blinn, J.F. (1982) A Generalization of Algebraic Surface Drawing. ACM Transactions on Graphics, 1, 235-256.
https://doi.org/10.1145/357306.357310
|
[32]
|
Wyvill, G., McPheeters, C. and Wyvill, B. (1986) Data Structure for Soft Objects. The Visual Computer, 2, 227-234.
https://doi.org/10.1007/BF01900346
|
[33]
|
Nishimura, H. (1985) Object Modeling by Distribution Function and a Method of Image Generation. Transactions on Electrical and Electronic Engineering, 68, 718-725.
|
[34]
|
Muraki, S. (1991) Volumetric Shape Description of Range Data Using “Blobby Model”. ACM SIGGRAPH Computer Graphics, 25, 227-235. https://doi.org/10.1145/127719.122743
|
[35]
|
Bloomenthal, J. and Shoemake, K. (1991) Convolution Surfaces. ACM SIGGRAPH Computer Graphics, 25, 251-256.
https://doi.org/10.1145/127719.122757
|
[36]
|
Turk, G. and O’Brien, J.F. (1999) Shape Transformation Using Vari-ational Implicit Functions. Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Tech-niques, Los Angeles, 8-13 August 1999, 335-342.
https://doi.org/10.1145/311535.311580
|
[37]
|
Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., et al. (2001) Reconstruction and Representation of 3D Objects with Radial Basis Functions. Proceed-ings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, Los Angeles, 12-17 August 2001, 67-76. https://doi.org/10.1145/383259.383266
|
[38]
|
Morse, B.S., Yoo, T.S., Rheingans, P., Chen, D.T. and Subramanian, K.R. (2001) Interpolating Implicit Surfaces from Scattered Surface Data Using Compactly Supported Ra-dial Basis Functions. Proceedings of the International Conference on Shape Modeling and Application, Genova, 7-11 May 2001, 89-98. https://doi.org/10.1109/SMA.2001.923379
|
[39]
|
Tobor, I., Reuter, P. and Schlick, C. (2006) Reconstructing Multi-Scale Variational Partition of Unity Implicit Surfaces with Attributes. Graphical Models, 68, 25-41. https://doi.org/10.1016/j.gmod.2005.09.003
|
[40]
|
Berger, M., Tagliasacchi, A., Seversky, L., Alliez, P., Levine, J.A., Sharf, A., et al. (2014) State of the Art in Surface Reconstruction from Point Clouds. 35th Eurographics 2014: Strasbourg, France-State of the Art Reports, Strasbourg, 7-11 April 2014, 161-185.
|
[41]
|
Allègre, R., Galin, E., Chaine, R. and Akkouche, S. (2006) The HybridTree: Mixing Skeletal Implicit Surfaces, Triangle Meshes, and Point Sets in a Free-Form Modeling System. Graphical Models, 68, 42-64.
https://doi.org/10.1016/j.gmod.2005.09.001
|
[42]
|
Shapiro, V. and Tsukanov, I. (1999) Implicit Functions with Guaranteed Differential Properties. Proceedings of the 5th ACM Symposium on Solid Modeling and Applications, Ann Arbor, June 1999, 258-269.
https://doi.org/10.1145/304012.304038
|
[43]
|
Gourmel, O., Barthe, L., Cani, M., Wyvill, B., Bernhardt, A., Paulin, M., et al. (2013) A Gradient-Based Implicit Blend. ACM Transactions on Graphics, 32, Article No. 12. https://doi.org/10.1145/2451236.2451238
|
[44]
|
Osher, S. and Sethian, J.A. (1988) Fronts Propagating with Cur-vature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations. Journal of Computational Physics, 79, 12-49. https://doi.org/10.1016/0021-9991(88)90002-2
|
[45]
|
Adalsteinsson, D. and Sethian, J.A. (1995) A Fast Level Set Method for Propagating Interfaces. Journal of Computational Physics, 118, 269-277. https://doi.org/10.1006/jcph.1995.1098
|
[46]
|
Losasso, F., Gibou, F. and Fedkiw, R. (2004) Simulating Water and Smoke with an Octree Data Structure. SIGGRAPH04: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, August 2004, 457-462.
https://doi.org/10.1145/1186562.1015745
|
[47]
|
Museth, K. (2013) VDB: High-Resolution Sparse Volumes with Dynamic Topology. ACM Transactions on Graphics, 32, Article No. 27. https://doi.org/10.1145/2487228.2487235
|
[48]
|
Nielsen, M.B. and Museth, K. (2006) Dynamic Tubular Grid: An Efficient Data Structure and Algorithms for High Resolution Level Sets. Journal of Scientific Computing, 26, 261-299. https://doi.org/10.1007/s10915-005-9062-8
|
[49]
|
Houston, B., Wiebe, M. and Batty, C. (2004) RLE Sparse Level Sets. SIGGRAPH’04, Los Angeles, August 2004, 137.
https://doi.org/10.1145/1186223.1186394
|
[50]
|
Houston, B., Nielsen, M.B., Batty, C., Nilsson, O. and Museth, K. (2006) Hierarchical RLE Level Set: A Compact and Versatile Deformable Surface Representation. ACM Transactions on Graphics, 25, 151-175.
https://doi.org/10.1145/1122501.1122508
|
[51]
|
Setaluri, R., Aanjaneya, M., Bauer, S. and Sifakis, E. (2014) SPGrid: A Sparse Paged Grid Structure Applied to Adaptive Smoke Simulation. ACM Transactions on Graphics, 33, Article No. 205.
https://doi.org/10.1145/2661229.2661269
|
[52]
|
Losasso, F., Shinar, T., Selle, A. and Fedkiw, R. (2006) Multiple Interacting Liquids. ACM Transactions on Graphics, 25, 812-819. https://doi.org/10.1145/1141911.1141960
|
[53]
|
Heo, N. and Ko, H. (2010) Detail-Preserving Fully-Eulerian Inter-face Tracking Framework. ACM Transactions on Graphics, 29, Article No. 176. https://doi.org/10.1145/1882261.1866198
|
[54]
|
Mitchell, N., Aanjaneya, M., Setaluri, R. and Sifakis, E. (2015) Non-Manifold Level Sets: A Multivalued Implicit Surface Representation with Applications to Self-Collision Processing. ACM Transactions on Graphics, 34, Article No. 247.
https://doi.org/10.1145/2816795.2818100
|
[55]
|
Dan, K., Deul, C. and Bender, J. (2016) Hierarchical Hp-Adaptive Signed Distance Fields. Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation, Zurich, July 2016, 189-198.
|
[56]
|
Dan, K., Deul, C., Brand, M. and Bender, J. (2017) An Hp-Adaptive Discretization Algorithm for Signed Distance Field Generation. IEEE Transactions on Visualization and Computer Graphics, 23, 2208-2221.
https://doi.org/10.1109/TVCG.2017.2730202
|