Interactive curve modeling: With applications to computer graphics, vision and image processing

Interactive Curve Modeling: With Applications to Computer Graphics, Vision and Image Processing

Volumn , Issue , 2008, Pages 1-350

  Sarfraz, M ^a,b  

^a KUWAIT UNIVERSITY   (Kuwait)

^b KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892328101     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-84628-871-5     Document Type: Book

References (494)

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117. Bartels, R., and Beatty, J. (1984), Beta-splines with a difference, Technical Report CS-83-40, Computer Science Department, University of Waterloo, Waterloo, Canada.
118. Boehm, W. (1985), Curvature continuous curves and surfaces, Comp Aided Geom Design 2(2), 313-323.
119. Cline, A. (1974), Curve fitting in one and dimensions using splines under tension, Comm ACM 17, 218-223.
120. Dierckx, P., and Tytgat, B. (1989), Generating the Bézier points of β-spline curve, Comp Aided Geom Design 6, 279-291.
121. Farin, G.E. (1996), Curves and Surfaces for CAGD, Academic Press, New York.
122. Foley, T.A. (1987), Local control of interval tension using weighted splines. Comp Aided Geom. Design 3, 281-294.
123. Foley, T.A. (1987), Interpolation with interval and point tension controls using cubic weighted ν-splines, ACM Trans Math Software 13, 68-96.
124. Goodman, T.N.T., and Unsworth, K. (1985), Generation of Beta spline curves using a recursive relation. In: Fundamental Algorithms for Computer Graphics. R.E. Earnshaw (Ed.), Springer-Verlag, Berlin, pp. 326-357.
125. Lewis, J. (1975), "B-spline" bases for splines under tension, Nu-splines, and fractional order splines, Presented at the SIAM-SIGNUM Meeting, San Francisco, CA.
126. Nielson, G.M. (1974), Some piecewise polynomial alternatives to splines under tension, In: Computer-Aided Geometric Design, R.F. Barnhill (Ed.), Academic Press. New York.
127. Nielson, G.M. (1986), Rectangular ν-splines. IEEE Comp Graph Appl 6, 35-40.
128. Pruess, S. (1979), Alternatives to the exponential spline in tension, Math Comp 33, 1273-1281.
129. Salkauskas, K. (1984), C1 splines for interpolation of rapidly varying data, Rocky Mtn J Math 14, 239-250.
130. Sarfraz, M. (1992), A C2 rational cubic spline alternative to the NURBS, Comp & Graph 16(l), 69-78.
131. Sarfraz, M. (1995), Curves and surfaces for CAD using C2 rational cubic splines, Int J Eng Comput, Springer-Verlag, 11(2), 94-102.
132. Sarfraz, M. (1994), Freeform rational bicubic spline surfaces with tension control, Facta Universitatis (NIS), Ser Math Informatics, 9, 83-93.
133. Sarfraz, M. (1994), Cubic spline curves with shape control, Int J Comput Graphics, Elsevier Science, 18(5), 707-713.
134. Sarfraz, M, (2003), Weighted Nu splines: an alternative to NURBS, Advances in Geometric Modeling, Ed.: M. Sarfraz, John Wiley, pp. 81-95.
135. Schoenburg, I. J. (1946), Contributions to the problem of approximation of equidistant data by analytic functions, Appl Math 4, 45-99.
136. Schweikert, D.G. (1966), An interpolation curve using a spline in tension, J Math Phys 45, 312-317.
137. Sarfraz, M. (2004),Weighted Nu splines with local support basis functions, Int J Comput Graphics, Elsevier Science, 28(4), 539-549.
138. Barsky, B.A. (1981), The Beta-Spline: A Local Representation Based on Shape Parameters and Fundamental Geometric Measure, Ph.D. Thesis, University of Utah.
139. Bartels, R., and Beatty, J. (1984), Beta-splines with a difference, Technical Report CS-83-40, Computer Science Department, University of Waterloo, Waterloo, Canada.
140. Boehm, W. (1985), Curvature continuous curves and surfaces, Comp Aided Geom Design 2(2), 313-323.
141. Cline, A. (1974), Curve fitting in one dimension using splines under tension, Comm ACM 17, 218-223
142. Dierckx, P., and Tytgat, B. (1989), Generating the Bézier points of β-spline curve, Comp Aided Geom Design 6, 279-291.
143. Farin, G.E. (1996), Curves and Surfaces for CAGD, Academic Press, New York.
144. Foley, T.A. (1986), Local control of interval tension using weighted splines. Comp Aided Geom Design 3, 281-294.
145. Foley, T.A. (1987), Interpolation with interval and point tension controls using cubic weighted Nu-splines, ACM Trans Math Software 13, 68-96.
146. Goodman, T.N.T., and Unsworth, K. (1985), Generation of Beta-spline curves using a recursive relation. In: Fundamental Algorithms for Computer Graphics. R.E. Earnshaw (Ed.), Springer-Verlag, Berlin, pp. 326-357.
147. Lewis, J. (1975), "B-spline" bases for splines under tension, Nu-splines, and fractional order splines, Presented at the SIAM-SIGNUM Meeting, San Francisco, CA.
148. Nielson, G.M. (1974), Some piecewise polynomial alternatives to splines under tension, In: Computer-Aided Geometric Design, R.F. Barnhill (Ed.), Academic Press. New York.
149. Nielson, G.M. (1986), Rectangular v-splines. IEEE Comp Graph Appl 6, 35-40.
150. Pruess, S. (1979), Alternatives to the exponential spline in tension, Math Comp 33, 1273-1281.
151. Salkauskas, K. (1984), C1 splines for interpolation of rapidly varying data, Rocky Mtn. J. Math 14, 239-250.
152. Sarfraz, M. (1992), A C2 rational cubic spline alternative to the NURBS, Comp. & Graph 16(l), 69-78.
153. Sarfraz, M. (1995), Curves and surfaces for CAD using C2 rational cubic splines, Int J Eng Comput, Springer-Verlag, 11(2), 94-102.
154. Sarfraz, M. (1994), Freeform rational bicubic spline surfaces with tension control, Facta Universitatis (NIS), Ser Math Informatics, 9, 83-93.
155. Sarfraz, M. (1994), Cubic spline curves with shape control, Int J Comput & Graphics, Elsevier Science, 18(5), 707-713.
156. Sarfraz, M, (2003),Weighted Nu-splines: an alternative to NURBS, Advances in Geometric Modeling, Ed.: M. Sarfraz, John Wiley, New York, 81-95.
157. Schoenburg, I. J. (1946), Contributions to the problem of approximation of equidistant data by analytic functions, Appl Math 4, 45-99.
158. Schweikert, D.G. (1966), An interpolation curve using a spline in tension, J Math Phys 45, 312-317.
159. Sarfraz, M. (2004),Weighted Nu-splines with local support basis functions, Int J Comput & Graphics, Elsevier Science, 28(4), 539-549.
160. Gregory, J.A., and Sarfraz, M. (1990), A rational spline with tension, Int J Comput Aided Geom Des, North-Holland, Elsevier, 7, 1-13.
161. Schweikert, D. (1966), An interpolation curve using splines in tension, J Math Phys 45, 312-317.
162. Cline, A. (1974), Curve fitting in one dimension using splines under tension, Comm ACM 17, 218-223.
163. Preuss, S. (1979), Alternatives to the exponential spline in tension, Math Comp 33, 1273-1281
164. Boehm, W. (1987), Rational geometric splines, Comput Aided Geom Des 4, 67-77.
165. Schoenberg, L. (1981), Spline Functions: Basic Theory, John Wiley, New York.
166. Barsky, B.A. (1981), The Beta-Spline: A Local Representation Based on Shape Parameters and Fundamental Geometric Measure, Ph.D. Thesis, University of Utah.
167. Bartels, R., and Beatty, J. (1984), Beta-splines with a difference, Technical Report CS- 83-40, Computer Science Department, University of Waterloo, Waterloo, Canada.
168. Boehm, W. (1985), Curvature continuous curves and surfaces, Comp Aided Geom Design 2(2), 313-323.
169. Cline, A. (1974), Curve fitting in one and dimensions using splines under tension, Comm ACM 17, 218-223
170. Dierckx, P., and Tytgat, B. (1989), Generating the Bézier points of β-spline curve, Comput Aided Geom Design 6, 279-291.
171. Farin, G.E. (1996), Curves and Surfaces for CAGD, Academic Press, New York.
172. Foley, T.A. (1986), Local control of interval tension using weighted splines. Comp Aided Geom Design 3, 281-294.
173. Foley, T.A. (1987), Interpolation with interval and point tension controls using cubic weighted Nu-splines, ACM Trans Math Software 13, 68-96.
174. Goodman, T.N.T., and Unsworth, K. (1985), Generation of beta spline curves using a recursive relation. In: Fundamental Algorithms for Computer Graphics. R.E. Earnshaw (Ed.), Springer-Verlag, Berlin, pp. 326-357.
175. Lewis, J. (1975), "B-spline" bases for splines under tension, Nu-splines, and fractional order splines, Presented at the SIAM-SIGNUM Meeting, San Francisco, CA.
176. Nielson, G.M. (1974), Some piecewise polynomial alternatives to splines under tension, In: Computer-Aided Geometric Design, R.F. Barnhill (Ed.), Academic Press. New York.
177. Nielson, G.M. (1986), Rectangular ν-splines. IEEE Comp Graph Appl 6, 35-40.
178. Pruess, S. (1979), Alternatives to the exponential spline in tension, Math Comp 33, 1273-1281.
179. Salkauskas, K. (1984), C1 splines for interpolation of rapidly varying data, Rocky Mtn J Math 14, 239-250.
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