Detection and reconstruction of freeform sweeps

Computer Graphics Forum

Volumn 33, Issue 2, 2014, Pages 23-32

  Barton M ^a   Pottmann, H ^a,b   Wallner, J ^c  

^a KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; GLOBAL OPTIMIZATION; MANUFACTURE;

BUILDING CONSTRUCTION; CURVE ANALYSIS; DIGITAL RECONSTRUCTION; FREE-FORM SURFACE; GLOBAL METHODS; KINEMATIC SURFACES; REJECTION PROCEDURE; SUBSTRING SEARCH;

CURVE FITTING;

EID: 84901849643     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/cgf.12287     Document Type: Article

References (22)

1. [AS13], Andrews J., Séquin C.H.,: Generalized, basis-independent kinematic surface fitting. Computer-Aided Design 45, 3 (2013), 615-620. doi: 10.1016/j.cad.2012.10.047. 2.
2. [BB82], Ballard D.H., Brown C.M.,: Computer Vision. Prentice Hall, New Jersey, USA, 1982. Downloadable from homepages. inf.ed.ac.uk. 5.
3. [BI98], Blake A., Isard M.,: Active Contours. Springer, 1998. doi: 10.1007/978-1-4471-1555-7. 6.
4. [BPK*11], Bo P., Pottmann H., Kilian M., Wang W., Wallner J.,: Circular arc structures. ACM Trans. Graphics 30 (2011), 101:1-101:11. Proc. SIGGRAPH. doi: 10.1145/1964921.1964996. 2.
5. [BSK*13], Bartoň M., Shi L., Kilian M., Wallner J., Pottmann H.,: Circular arc snakes and kinematic surface generation. Computer Graphics Forum 32, 2 (2013), 1-10. Proc. Eurographics. doi: 10.1111/cgf.12020. 2.
6. [CEY97], Cohen S., Elber G., Yehuda R.B.,: Matching of freeform curves. Computer Aided Design 29, 5 (1997), 369-378. doi: 10.1016/S0010-4485(96)00075-9. 5.
7. [CLRS05], Cormen T.H., Leiserson C.E., Rivest R.L., Stein C.,: Introduction to Algorithms. The MIT Press, 2005. 4.
8. [CP99], Chen H.Y., Pottmann H.,: Approximation by ruled surfaces. J. Comput. Appl. Math. 102 (1999), 143-156. doi: 10.1016/S0377-0427(98)00212-X. 2.
9. [dC76], do Carmo M.P.,: Differential Geometry of Curves and Surfaces. Prentice-Hall, 1976. 4, 8.
10. [DK09], Dallinger S., Kollegger J.,: Pneumatic formwork for concrete and ice shells. In Int. Conf. Textile Composites & Inflatable Structures, Kröplin B., Oñate E., (eds.). CIMNE, Barcelona, 2009. Downloadable from fabricforming.org. 2.
11. [EW13], Elber G., Wang C.,: Multi-dimensional dynamic programming in ruled surface fitting, 2013. technical report. 2.
12. [FP10], Flöry S., Pottmann H.,: Ruled surfaces for rationalization and design in architecture. In LIFE in:formation. On Responsive Information and Variations in Architecture. 2010, pp. 103-109. Proc. ACADIA. downloadable from cumincad.architecturez.net. 2.
13. [GG04], Gelfand N., Guibas L.,: Shape segmentation using local slippage analysis. In Symp. Geom. Processing. 2004, pp. 219-228. doi: 10.2312/SGP/SGP04/219-228. 2.
14. [HOP*05], Hofer M., Odehnal B., Pottmann H., Steiner T., Wallner J.,: 3D shape recognition and reconstruction based on line element geometry. In 10th IEEE Int. Conf. on Computer Vision (2005), vol. 2, pp. 1532-1538. doi: 10.1109/ICCV.2005.2. 2.
15. [HPR04], Hofer M., Pottmann H., Ravani B.,: From curve design algorithms to the design of rigid body motions. The Visual Computer 20 (2004), 279-297. doi: 10.1007/s00371-003-0221-3. 5, 6.
16. [KV13], Kovács I., Várady T.,: Reconstructing swept surfaces from measured data. In The Mathematics of Surfaces XIV, Cripps R., et al., (Eds.). IMA, 2013, pp. 327-344. 2.
17. [PCL98], Pottmann H., Chen H.-Y., Lee I.K.,: Approximation by profile surfaces. In The Mathematics of Surfaces VIII, Cripps R., (ed.). 1998, pp. 17-36. 2.
18. [PHOW04], Pottmann H., Hofer M., Odehnal B., Wallner J.,: Line geometry for 3D shape understanding and reconstruction. In Computer Vision-ECCV 2004, Part I. Springer, 2004, pp. 297-309. doi: 10.1007/b97865. 2.
19. [PW01], Pottmann H., Wallner J.,: Computational Line Geometry. Springer, Heidelberg, 2001. doi: 10.1007/978-3-642-04018-4. 2.
20. [PWHY09], Pottmann H., Wallner J., Huang Q., Yang Y.-L.,: Integral invariants for robust geometry processing. Comput. Aided Geom. Design 26 (2009), 37-60. doi: 10.1016/j.cagd.2008.01.002. 5.
21. [VM02], Várady T., Martin R.R.,: Reverse engineering. In Handbook of Computer Aided Geometric Design, Farin G., Hoschek J., Kim M.S., (eds.). Elsevier, 2002, ch. 26. doi: 10.1016/B978-044451104-1/50027-7. 2, 8.
22. [VWB11], Veenendaal D., West M., Block P.,: History and overview of fabric formwork: using fabrics for concrete casting. Structural Concrete 12, 3 (2011), 164-177. doi: 10.1002/suco.201100014. 2.