2005
DOI: 10.1631/jzus.2005.as0116
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A class of quasi Bézier curves based on hyperbolic polynomials

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Cited by 20 publications
(17 citation statements)
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“…. , m , are defined by (13), and the intermediate points R l i are defined recursively by Recursive evaluation process of an adjustable Bézier curve. The red circles, green triangles, blue stars, black stars, yellow triangles, purple rhombuses represent the points received in step 1 to step 6 of the recurrence, respectively.…”
Section: Remarkmentioning
confidence: 99%
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“…. , m , are defined by (13), and the intermediate points R l i are defined recursively by Recursive evaluation process of an adjustable Bézier curve. The red circles, green triangles, blue stars, black stars, yellow triangles, purple rhombuses represent the points received in step 1 to step 6 of the recurrence, respectively.…”
Section: Remarkmentioning
confidence: 99%
“…To overcome this shortcoming, many attempts have been made to incorporate shape parameters into the Bézier model [2][3][4][5][6][7][8][9][10][11][12][13]. These models are constructed on different spaces, such as polynomial function space [2][3][4][5][6][7][8], trigonometric function space [9][10][11][12], and hyperbolical function space [13]. All the curves constructed in [2][3][4][5][6][7][8][9][10][11][12][13] are extensions of the classical Bézier curves.…”
Section: Introductionmentioning
confidence: 99%
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“…They include the p-Bézier [2], the quasi Bézier [3], the C-Bézier [4,5], the AH-Bézier [6], the AHT-Bézier [7], the Bézier-like models using complex numbers [8][9][10], and so on.…”
Section: Introductionmentioning
confidence: 99%