Abstract
Generally, when we have to define a surface patch, its degree of freedom is not always equal to that of given external conditions. If the latter is greater than the former, there must be some relations among the given conditions, or some methods must be provided to increase the degree of freedom of the patch to satisfy the given conditions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Coons S.A.: Surfaces for computer aided design of space forms. MIT Project MAC TR-41 1967
Gregory J.A.: Smooth interpolation without twist constaints. In: Burnhill, R.E., Riesenfeld, R.F.(eds.): Computer aided geometrric design, New York: Academic Press 1974, pp. 71–87
Sabin, M.A.: The use of piecewise forms for the numerical representation of shape. Computer and Automation Inst. Hungarian Academy of Sci. 1977
Barnhill, R.E., Brown, J.H., Klucewicz I.M.: A new twist in computer aided geometric design. Computer Graphics and Image Processing 8: 78–91, 1978
Higashi, M. et. al.: An interactive CAD systems for construction of shapes with high quality surface. In: Warman, E.A. (ed.): Proc. CAPE’83 IFIP 1983, pp. 371–390
Chiyokura, H., Kimura, F.: Design of solids with free-form surfaces. Computer Graphics 17 (3): 289–298, 1983
Hosaka, M., Kimura, F.: Non-four-sided patch expressions with control. points. Computer Aided Geometric Design 1 (1): 75–86, 1984
Charrot, P., Gregory, J.A.: A pentagonal surface patch for CAGD. Computer Aided Geometric Design 1 (1): 87–94, 1984
Herron, G.: Smooth closed surface with triangular interpolants. Computer Aided Geometric Design 2 (4): 297–306, 1985
Farin G. Triangular Bernstein-Bezier patches. Computer Aided Geometric Design 3 (2): 83–127, 1986
Sabin, M. A.: Some negtive results in N sided patches. Computer Aided Design 18 (1): 38–44, 1986
Chiyokura, H.: Localized surface interpolation method for irregular meshes. In: Kunii, T. (ed.): Computer Graphics. Berlin: Springer-Verlag, 1986
Holmstroem, L.: Piecewise quadric blending of implicitly defined surface. Computer Aided Geometric Design 4: 171–189, 1987
Shirman, L.A., Sequin, C.H.: Local surface interpolation with Bézier patches. Computer Aided Geometric Design 4 (4): 279–295, 1987
van Wijk J.J.: Bicubic patch for approximating non-rectangular meshes. Computer Aided Geometric Design 3 (1): 1–14, 1987
Farin, G. et al.: The octant of a sphere as a non-degenerate triangular patch. Computer Aided Geometric Design 4 (4): 329–332, 1987
Storry, D.J.T., Ball, A.A.: Design of an n-sided surface patch from Her mite boundary data. Computer Aided Geometric Design 6 (2): 111–120, 1989
Kushimoto, T., Hosaka, M.: *Design methods of surface in non-four-sided regions. 1, J.JSPE 55(08): 55-60, 1989. 2, J.JSPE 55 (11): 119–124, 1989
Kushimoto, T., Hosaka, M.: *Connection of triangular patches and its application. J. JSPE 55 (10): 67–72, 1989
Saitoh, T., Hosaka, M.: Interpolating curve networks with new blending patches. In: Vandoni, C.E., Duce, D.A. (eds.): Proc. Eurographics’90, pp. 137–146
Hosaka, M.: *New solution of connection problem in free-form surfaces. J. IPS Japan 31 (5): 612–622, 1990
Peters, J.: Local cubic and bicubic C1 surface interpolation with linearly varying boundary normal. Computer Aided Geometric Design 7: 499–516, 1990
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hosaka, M. (1992). Connections of Patches by Blending. In: Modeling of Curves and Surfaces in CAD/CAM. Computer Graphics — Systems and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76598-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-76598-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-76600-8
Online ISBN: 978-3-642-76598-8
eBook Packages: Springer Book Archive