An interpolating 4-point \(C^2\) ternary stationary subdivision scheme. (English) Zbl 0984.68167

Summary: A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is \(C^{2}.\) The role of the tension parameter is demonstrated by a few examples. There is a brief discussion of computational costs.


68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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