Fast Reconstruction Algorithm of Point Cloud Implicit Surface

Lianzhe Wang; Jungang Han; Sheng Lu; Haipeng Tang; Quan Qi; Ningyu Feng; Shaojie Tang

doi:10.3788/LOP202158.0415003

[1] Xu L M, Wu G. Review of implicit surface reconstruction from point cloud dataset[J]. Computer Science, 44, 19-23, 28(2017).

[2] Franke R. Scattered data interpolation: tests of some methods[J]. Mathematics of Computation, 38, 181-200(1982). http://www.ams.org/journals/mcom/1982-38-157/S0025-5718-1982-0637296-4/home.html

[3] Savchenko V V, Pasko A A, Okunev O G et al. Function representation of solids reconstructed from scattered surface points and contours[J]. Computer Graphics Forum, 14, 181-188(1995). http://onlinelibrary.wiley.com/doi/10.1111/1467-8659.1440181/abstract;jsessionid=D6D43F6D4E442EAF53871280EC57DD1B.f01t03

[4] Carr J C, Beatson R K, Cherrie J B et al. Reconstruction and representation of 3D objects with radial basis functions. [C]∥SIGGRAPH'01: Proceedings of the 28th annual conference on Computer graphics and interactive techniques. New York: Association for Computing Machinery, 67-76(2001).

[5] Blinn J F. A generalization of algebraic surface drawing[J]. ACM Transactions on Graphics, 1, 235-256(1982).

[6] Li Q, Wills D, Phillips R et al. Implicit fitting using radial basis functions with ellipsoid constraint[J]. Computer Graphics Forum, 23, 55-69(2004). http://www.researchgate.net/publication/229441556_Implicit_Fitting_Using_Radial_Basis_Functions_with_Ellipsoid_Constraint?ev=prf_cit

[7] Klein P P. On the ellipsoid and plane intersection equation[J]. Applied Mathematics, 3, 1634-1640(2012). http://www.oalib.com/paper/16130

[8] Beck A, Sabach S. An improved ellipsoid method for solving convex differentiable optimization problems[J]. Operations Research Letters, 40, 541-545(2012). http://www.sciencedirect.com/science/article/pii/S0167637712001125

[9] Cuomo S, Galletti A, Giunta G et al. Reconstruction of implicit curves and surfaces via RBF interpolation[J]. Applied Numerical Mathematics, 116, 157-171(2017). http://www.zhangqiaokeyan.com/academic-journal-foreign_other_thesis/0204112099965.html

[10] Kim S M, Park J C, Lee K H. Depth-image based full 3D modeling using trilinear interpolation and distance transform. [C]∥ Depth-image based full 3D modeling using trilinear interpolation and distance transform. New York: Association for Computing Machinery, 259-260(2005).

[11] Pang Z Y, Zhou Z F, Wang L D et al. Improved three-dimensional reconstruction algorithm for point cloud data[J]. Laser & Optoelectronics Progress, 57, 021102(2020).

[12] Lu S, Han J G, Wang L Z et al. Two stage variable scale 3D point cloud registration algorithm[J]. Laser & Optoelectronics Progress, 57, 201503(2020).

[13] Yang P, Liu D E, Liu J Y et al. Mine ground point cloud extraction algorithm based on statistical filtering and density clustering[J]. Laser & Optoelectronics Progress, 57, 021107(2020).

[14] Li R Z, Yang M, Ran Y et al. Point cloud denoising and simplification algorithm based on method library[J]. Laser & Optoelectronics Progress, 55, 011008(2018).

[15] Huang W M, Li Y W, Wen P Z et al. Algorithm for 3D point cloud denoising[C]∥ 2009 Third International Conference on Genetic and Evolutionary Computing, October 14-17, 2009, Guilin, China., 574-577(2009).

[16] Mo H J, Zhou J J[J]. Study of surface reconstruction based on Imageware Modern Manufacturing Engineering, 2014, 21-25.