Abstract
This paper presents an algorithm for interpolating curves with predefined cross curvature on subdivision surfaces using polygonal complexes. The cross curvature is defined by a separate 2-D polygon which can be used to generate a complex along the control path. A straightforward application is the generation of Catmull-Clark subdivision surfaces that flow nicely along feature curves. Interactive manipulation of the 2-D polygon will correspond to a variety of features along the interpolated curves such as ribs, bumps, cavities, or even sharp creases.
Supported by URB grant #DDF111130-688129.
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References
Catmull, E., Clark, J.: Recursively Generated B-spline Surfaces on Arbitrary Topological Meshes. Computer Aided Design 10(6), 350–355 (1978); Also published in: Wolfe, R. (ed.) Seminal Graphics. pp.183-188, Acm Press, New York (1988)
Nasri, A., Sabin, M.: Taxonomy of Interpolation Conditions in Recursive Subdivision Curves. Journal Visual Computer 18(4), 259–272 (2002)
Nasri, A., Sabin, M.: Taxonomy of Interpolation Conditions in Recursive Subdivision Surfaces. Journal Visual Computer 18(6), 382–403 (2002)
Nasri, A.: Recursive subdivision of polygonal complexes and its applications in CAGD. Computer Aided Geometric Design 17, 595–619 (2000); Presented also at The 5th SIAM Conferene On Geometric Design, Nashville (1997)
Nasri, A., Abbas, A.: Designing Catmull-Clark subdivision surfaces with curve interpolation constraints. Computer & Graphics 26(3), 393–400 (2002)
Catalano, C.E., Giannini, F., Falcidieno, B.: Introducing Sweep Features in Modeling with Subdivision Surfaces. Journal of WSCG 12(1), 81–88 (2004)
Cheulet, V., Catalano, C.E., Pernot, J.P., Falcidieni, B., Giannini, F., Leon, J.C.: 3D Sketching with Fully Free Form Deformation Features for Aesthetic Design. In: Workshop on Sketch Based Interfaces and Modeling (2004)
Fontana, M., Giannini, F., Meirana, M.: Free Form Features for Aesthetic Design. International Journal on Shape Modeling (2000)
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© 2006 Springer-Verlag Berlin Heidelberg
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Nasri, A., Sabin, M., Zaki, R.A., Nassiri, N., Santina, R. (2006). Feature Curves with Cross Curvature Control on Catmull-Clark Subdivision Surfaces. In: Nishita, T., Peng, Q., Seidel, HP. (eds) Advances in Computer Graphics. CGI 2006. Lecture Notes in Computer Science, vol 4035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11784203_75
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DOI: https://doi.org/10.1007/11784203_75
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35638-7
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