Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/2037
Title: Generating B-spline curves with points, normals and curvature constraints: a constructive approach
Authors: Abbas, Abdulwahed
Nasri, Ahmad H
Maekawa, Takashi
Affiliations: Department of Computer Science 
Keywords: B-splines curves and surfaces
Recursive subdivision
Limit curve and surface
Fitting Interpolation
Normal
Curvatures
Issue Date: 2010
Part of: The visual computer
Volume: 26
Issue: 6-8
Start page: 823
End page: 829
Abstract: 
This paper presents a constructive method for generating a uniform cubic B-spline curve interpolating a set of data points simultaneously controlled by normal and curvature constraints. By comparison, currently published methods have addressed one or two of those constraints (point, normal or cross-curvature interpolation), but not all three constraints simultaneously with C2 continuity. Combining these constraints provides better control of the generated curve in particular for feature curves on free-form surfaces. Our approach is local and provides exact interpolation of these constraints.
URI: https://scholarhub.balamand.edu.lb/handle/uob/2037
Ezproxy URL: Link to full text
Type: Journal Article
Appears in Collections:Department of Computer Science

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