ACM Home Page
Please provide us with feedback. Feedback
Curve Fitting with Conic Splines
Full text PdfPdf (1.73 MB)
Source ACM Transactions on Graphics (TOG) archive
Volume 2 ,  Issue 1  (January 1983) table of contents
Pages: 1 - 31  
Year of Publication: 1983
ISSN:0730-0301
Author
Theodosios Pavlidis  Bell Laboratories (2C-456), Murray Hill, NJ
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 15,   Downloads (12 Months): 112,   Citation Count: 14
Additional Information:

references   cited by   index terms   collaborative colleagues   peer to peer  

Tools and Actions: Request Permissions Request Permissions    Review this Article  
DOI Bookmark: Use this link to bookmark this Article: http://doi.acm.org/10.1145/357314.357315
What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
 
2
BOOKSTEIN, F.L. Fitting conic sections to scattered data. Comput. Gr. image Process. 9 (1979), 56-71.
 
3
 
4
COHEN, E., LYCHE, T., AND RIESENFELD, R. Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics. Comput. Gr. Image Process. 14 (1980), 87-111.
 
5
DE BOOR, C. A Practical Guide to Splines. Springer-Verlag, New York, 1978.
 
6
DIMSDALE, B. Convex cubic splines. IBM J. Res. Dev. 22 (1978), 168-178.
 
7
 
8
FORREST, A.R. Curves and surfaces for computer-aided design. Ph.D. dissertation, Cambridge Univ., Cambridge, England, July 1968.
 
9
FORREST, A.R. Conic Sections. Draft of a book chapter.
 
10
ISAACSON, E., AND KELLER, H.B. Analysis of Numerical Methods. Wiley, New York, 1966.
11
 
12
 
13
LIAO, Y. Z. A two-stage method of fitting conic arcs and straight-line segments to digitized{ contours. In Proc. IEEE Pattern Recognition and Image Processing Conference (Dallas, Texas, 1981), pp. 224-229.
 
14
LOZOVER, O., AND PREISS, K. Automatic generation of a cubic B-spline representation for a general digitized curve. In Eurographics 81. J. L. Encarnacao, Ed., Elsevier North-Holland, New York, 1981, pp. 119-126.
 
15
MCCLURE, D.E. Nonlinear segmented function approximation and analysis of line patterns. Q. Appl. Math. 33 (1975), 1-37.
 
16
PAVLIDIS, T. Optimal piecewise polynomial L~ approximation of functions of one and two variables. IEEE Trans. Comput. C.24 (1975), 98-102.
 
17
PAVLIDIS, T. Polygonal approximations by Newton's method. IEEE Trans. Comput. C-26 (1977), 800-807.
 
18
PAVLIDIS, T. Structural Pattern Recognition. Springer-Verlag, New York, 1977.
 
19
PAVLIDI$, T. Algorithms for Graphics and Image Processing. Computer Science Press, Rockvine, Md., 1982.
 
20
PAVLIDIS, T. Curve fitting as a pattern recognition problem. Proc. 6th Int. Conf. Pattern Recognition (Munich, Oct. 1982), IEEE Computer Society Press, Silver Spring, Md., pp. 853-859.
 
21
PAVLIDI8, T., AND ALI, F. A hierarchical syntactic shape analyzer. IEEE Trans. Pattern Anal. Mach. Intell. 1 (1979), 2-9.
 
22
PAVLIDIS, T., AND CHERRY, L.L. Vector and arc encoding of grapics and text. In Proc. 6th Int. Conf. Pattern Recognition (Munich, Oct. 1982), IEEE Computer Society Press, Silver Spring, Md., pp. 610-613.
23
 
24
REEVES, W. T., AND SERMER P. Efficient representation of curves in computer graphics. Tech. Rep. 153/81, Dept. of Computer Science, Univ. of Toronto, Toronto, Canada, June 1981.
 
25
RICE, J.R. The Approximation of Functions, vol. 2. Addison-Wesley, Reading, Mass., 1969.
 
26
RIESENFELD, R. Applications of B-spline approximation to geometric problems of computeraided design. Tech. Rep. UTEC-CSc-73-126, Computer Science Dept., Univ. of Utah, Salt Lake City, Utah, March 1973.
 
27
RULE, J. W., AND COONS, S.A. Grapics. McGraw-Hill, New York, 1961.
 
28
SALMON, G. Conic Sections, 6th ed., Chelsea, New York, 1954.
 
29
SCOTT, C.A. Projective Methods in Plane Analytical Geometry, 3d ed., Chelsea, New York, 1961.
30
 
31
YAMAGUCHI, F. A new curve fitting method using a CRT computer display. Comput. Gr. Image Process. 7 {1978) 425-437.

CITED BY  14
 
 
 
 
 

Collaborative Colleagues:
Theodosios Pavlidis: colleagues

Peer to Peer - Readers of this Article have also read: