Quadratic B-spline curve interpolation

✍ Scribed by Fuhua Cheng; Xuefu Wang; B.A. Barsky

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 661 KB
• Volume: 41
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(01)85004-5

✦ Synopsis

Traditional approach in performing even-degree B-spline curve/surface interpolation would generate undesired results. In this paper, we show that the problem is with the selection of interpolation parameter values, not with even-degree B-spline curves and surfaces themselves. We prove this by providing a new approach to perform quadratic B-spline curve interpolation. This approach generates quadratic B-spline curves whose quality is comparable to that of cubic interpolating B-spline curves. This makes quadratic B-spline curves better choices than cubic B-spline curves in some applications in graphics and geometric modeling, since it is cheaper to render/subdivide a quadratic curve and it is easier to find the intersection of two quadratic curves. (~) 2001 Elsevier Science Ltd. All rights reserved.