1 August 1990 Efficient curve and surface generation using high-order differencing
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This paper discusses a new algorithmic approach to computer graphics which significantly reduces the time-circuitry complexity producL Our approach eliminates the redundancy found in current representations of piecewise polynomial splines (curves, surfaces and volumes). We are able to obtain exactly the same results as current graphics systems with only a fraction of the computation (1/10 for curves, 1/100 for surfaces, 1/1000 for volumes). We present algorithms for curve and surface generation, refinement and, transformation of graphics images (rotation, translation, scaling). A complexity analysis is provided for comparison to current approaches.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Leonard A. Ferrari, Martine J. Silbermann, Pathamadai V. Sankar, "Efficient curve and surface generation using high-order differencing", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19752; https://doi.org/10.1117/12.19752

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