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SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES

Citace: BASTL, B., LÁVIČKA, M. SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES. Aplimat - Journal of Applied Mathematics, 2012, roč. 5, č. 3, s. 57-66. ISSN: 1337-6365
Druh: ČLÁNEK
Jazyk publikace: eng
Anglický název: SMOOTH CURVES APPROXIMATION BY CHORD-LENGTH CURVES
Rok vydání: 2012
Autoři: Ing. Bohumír Bastl Ph.D. , Doc. RNDr. Miroslav Lávička Ph.D.
Abstrakt EN: This paper is devoted to one practical application of planar rational curves with chord length parameterization (shortly RCL curves). Rational curves with chord length parameterizations are a chord-length analogy to the socalled Pythagorean-hodograph curves characterized by closed form formulas for their arc-lengths. They represent a new representation of objects in CAGD which can be used for formulating alternative modelling techniques. Using the universal formula for planar RCL curves, we design a simple G1 Hermite interpolation algorithm based on solving a small system of linear equations. In particular, we show how to approximate a general planar curve using arcs of RCL curves. The efficiency of the designed method is presented on two particular examples.
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