Search Results - "Meek, S D"

An arc spline approximation to a clothoid by Meek, D.S., Walton, D.J.

“…The clothoid is a spiral used in highway and railway route design. Clothoids are transcendental functions and so have been approximated by polynomials, by…”
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A controlled clothoid spline by Walton, D.J., Meek, D.S.

“…A clothoid has the property that its curvature varies linearly with arclength. This is a useful feature for the path of a vehicle whose turning radius is…”
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Planar interpolation with a pair of rational spirals by Goodman, T.N.T., Meek, D.S.

“…Spirals are curves of one-signed, monotone increasing or decreasing curvature. Spiral segments have the advantage that the minimum and maximum curvatures are…”
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A generalisation of the Pythagorean hodograph quintic spiral by Walton, D.J., Meek, D.S.

“…An existing planar Pythagorean hodograph (PH) quintic spiral, with zero curvature at one end, is generalised to form a two parameter family of PH quintic…”
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On surface normal and Gaussian curvature approximations given data sampled from a smooth surface by Meek, D.S., Walton, D.J.

“…Approximations to the surface normal and to the Gaussian curvature of a smooth surface are often required when the surface is defined by a set of discrete…”
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A note on finding clothoids by Meek, D.S., Walton, D.J.

“…The clothoid is a spiral that is used as transition curve in highway and railway route design. Although its defining formulas are transcendental functions,…”
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Smoothing an arc spline by Li, Z., Meek, D.S.

“…Arc splines are G 1 continuous curves made of circular arcs and straight-line segments. They have the advantages that the curvature of an arc spline is known…”
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Coaxing a planar curve to comply by Meek, D.S.

“…A long-standing problem in computer graphics is to find a planar curve that is shaped the way you want it to be shaped. A selection of various methods for…”
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Curve design with more general planar Pythagorean-hodograph quintic spiral segments by Walton, D.J., Meek, D.S.

“…Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of…”
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Constrained interpolation with rational cubics by Meek, D.S., Ong, B.H., Walton, D.J.

“…For a given set of ordered points lying on one side of a polyline, the problem of constructing a planar interpolating G 2 curve to these planar data which lies…”
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A planar cubic Bézier spiral by Walton, D.J., Meek, D.S.

“…A planar cubic Bézier curve segment that is a spiral, i.e., its curvature varies monotonically with arc-length, is discussed. Since this curve segment does not…”
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G2 blends of linear segments with cubics and Pythagorean-hodograph quintics by Walton, D J, Meek, D S

“…Fillets, also known as blend arcs, are used in CNC machining to round corners. Fillets are normally circular arcs, which have G1 contact with the straight line…”
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Curvature extrema of planar parametric polynomial cubic curves by Walton, D.J., Meek, D.S.

“…Parametric polynomial cubic curve segments are widely used in computer-aided design and computer-aided geometric design applications because their flexibility…”
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Blending two parametric curves by Meek, D.S., Walton, D.J.

“…Segments of two given curves can be blended to produce a segment of a new curve. Blending can provide a smooth transition from one curve to another and can…”
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Geometric Hermite interpolation with Tschirnhausen cubics by Meek, D.S., Walton, D.J.

“…Explicit formulae are found that give the unique Tschirnhausen cubic that solves a geometric Hermite interpolation problem. That solution is used to create a…”
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Approximating smooth planar curves by arc splines by Meek, D.S., Walton, D.J.

“…When a smooth curve is used to describe the path of a computer-controlled cutting machine, the path is usually approximated by many straight line segments. It…”
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The family of biarcs that matches planar, two-point G(1)Hermite data by Meek, D S, Walton, D J

“…The biarc is a curve made by joining two circular arcs in a G(1)fashion. There is a one-parameter family of biarcs that can match given planar, two-point…”
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Clothoid Spline Transition Spirals by Meek, D. S., Walton, D. J.

“…Highway and railway designers use clothoid splines (planar G2 curves consisting of straight line segments, circular arcs, and clothoid segments) as center…”
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Spiral arc spline approximation to a planar spiral by Meek, D.S., Walton, D.J.

“…A biarc is a one-parameter family of G 1 curves that can satisfy G 1 Hermite data at two points. An arc spline approximation to a smooth planar curve can be…”
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Polynomial blending in a mesh hole-filling application by Li, Z., Meek, D.S., Walton, D.J.

“…In this paper, a feature-preserving mesh hole-filling algorithm is realized by the polynomial blending technique. We first search for feature points in the…”
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