**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32727

##### Monomial Form Approach to Rectangular Surface Modeling

**Authors:**
Taweechai Nuntawisuttiwong,
Natasha Dejdumrong

**Abstract:**

**Keywords:**
Monomial form,
rectangular surfaces,
CAGD curves,
monomial matrix applications.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.3455679

**References:**

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[5] A. A. Ball, CONSURF, Part three: How the program is used. Computer-Aided Design 9, 1977.

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[8] J. Delgado and J. M. Pe˜na , “A Shape Preserving Representation with an Evaluation Algorithm of Linear Complexity,” Computer Aided Geometric Design, vol. 20, no. 1, pp. 1–20, March 2003.

[9] W. Hongyi, “Unifying representation of B´ezier curve and genaralized ball curves,” Appl. Math. J. Chinese Univ. Ser. B, vol. 5, no. 1, pp. 109–121, 2000.

[10] C. X. Yu Dan, “Another type of generalized ball curves and surfaces,” Acta Mathematica Scientia, vol. 27B, no. 4, p. 897907, 2007.

[11] N. Dejdumrong, “Efficient algorithms for non-rational and rational bezier curves,” 2008.

[12] C. Aphirukmatakun and N. Dejdumrong, “Monomial Forms for Curves in CAGD with Their Applications,” in The 6th International Conference Computer Graphics, Imaging and Visualization (CGIV’09), Tianjin University, Tianjin, China, August 11-14 2009, pp. 211–216.

[13] C. Aphirukmatakun and N.Dejdumrong, “Multiple degree elevation and constrained multiple degree reduction for dp curves and surfaces,” Computers and Mathematics with Applications, vol. 61, pp. 2296–2299, 2011.

[14] G. Farin, Curves and Surfaces for Computer Aided Geometric Design, 5th ed. Academic Press Inc, London, 2002.