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Titlebook: Computer Graphics and Geometric Modeling Using Beta-splines; Brian A. Barsky Book 1988 Springer-Verlag Berlin Heidelberg 1988 computer gra

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Generalizing to Continuous Shape Parameters for Curves,he user to have more precise control over the shape of the curve. The user is no longer constrained to choose a unique value for each shape parameter over the entire curve. Now, different values of the shape parameters can be used to reflect the local character of the curve.
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Classification and Analysis of Beta-spline Curve End Conditions,ions, as well as an analysis of their geometric properties, was previously presented by the author in [3]. Analogous discussions for the Beta-spline curve and surface representations are presented in this section and Chapter 16, respectively.
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Technology and the Human: Hans Jonasd prior to the actual computation of the Beta-spline basis functions. The following algorithm evaluates the basis functions at . + 1 given values of the domain parameter ., for a given value of each uniform shape parameter, β1 and β2, and requires 7 + 9(. + 1) multiplications, 12 + 2 + 9(. + 1) additions/subtractions, and 8 divisions.
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Curve Evaluation and Perturbation with Uniform Shape Parameters,d prior to the actual computation of the Beta-spline basis functions. The following algorithm evaluates the basis functions at . + 1 given values of the domain parameter ., for a given value of each uniform shape parameter, β1 and β2, and requires 7 + 9(. + 1) multiplications, 12 + 2 + 9(. + 1) additions/subtractions, and 8 divisions.
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A Phenomenology of Instrumentationhe user to have more precise control over the shape of the curve. The user is no longer constrained to choose a unique value for each shape parameter over the entire curve. Now, different values of the shape parameters can be used to reflect the local character of the curve.
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