Abstract
A systolic array for constructing the blending functions of B-spline curves and surfaces is described and shown to be 7 k times faster than the equivalent sequential computation. The array requires just 5 k inner product cell equivalents, where k − 1 is the maximum degree of the blending function polynomials. This array is then used as a basis for a composite systolic architecture for generating single or multiple points on a B-spline curve or surface. The total hardware requirement is bounded by 5 max( k, l) + 3 ( max( m, n) +1) inner product cells and O( mn) registers, where m and n are the numbers of control points in the two available directions. The hardware can be reduced to 5 max( k, l) + max( m, n) + 1 if each component of a point is generated by separate passes of data through the array. Equations for the array speed-up are given and likely speed-ups for different sized patches considered.
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