Curves and surfaces in computer aided geometric design
Curves and surfaces in computer aided geometric design
Blossoming and knot insertion algorithms for B-spline curves
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
The NURBS book (2nd ed.)
An introduction to NURBS: with historical perspective
An introduction to NURBS: with historical perspective
Principles of CAD/CAM/CAE Systems
Principles of CAD/CAM/CAE Systems
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Implicit and parametric curves and surfaces for computer aided geometric design
Implicit and parametric curves and surfaces for computer aided geometric design
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In the fields of computer aided geometric design and computer graphics, B-spline curves and surfaces are often adopted as a geometric modelling tool and their evaluation is frequently required for a various geometric processing. In this paper, we present a new algorithm to convert Bspline curves into piecewise polynomials in power form. The proposed algorithm considers recursive B-spline basis function to be a pile of linear functions and collects all the necessary linear functions in each knot span. Then, algorithm computes the power form representation of B-spline basis functions and the required transformation of B-spline curve is obtained through the linear combination of B-splines in power form and the corresponding control points in each knot span.