Object-oriented framework for curves and surfaces

Reinhard Klein; Philipp Slusallek

doi:10.1117/12.131754

1 November 1992 Object-oriented framework for curves and surfaces

Reinhard Klein, Philipp Slusallek

Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131754
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

In computer graphics and geometric modeling one generally faces the problem to integrate a variety of curve and surface types in to a single program. Object-oriented design offers the opportunity to use the inherent hierarchical structure of curves and surfaces to solve this problem. This paper presents an object-oriented framework together with its C++ implementation that starts from an abstract class of general differentiable curves and surfaces and in turn refines this design to curves and surfaces that are explicitly given in either parametric or implicit form. Most of the standard curve and surface types are derived from these classes. Examples that visualize the differential geometry of curves and surfaces illustrate the approach.

Citation Download Citation

Reinhard Klein and Philipp Slusallek "Object-oriented framework for curves and surfaces", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131754

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