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## Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal

#### Hatice Kuşak Samancı [1]

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Rational Bezier curves are one of the most important computer graphics for the computer-aided geometric design (CAGD). This paper presents certain metric properties of a space-like rational Bezier curve with time-like principal normal in Minkowski 3-space. First, the Bezier curve is defined in Minkowski space. Then, Serret-Frenet frames, the curvatures, and the torsions of the curve are obtained for each space-like condition. Finally, the derivative formulas of the curve are calculated, and a numerical example is given.

Bezier curve, CAGD, Minkowski space, space-like curve
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Birincil Dil en Mühendislik ve Temel Bilimler Articles Yazar: Hatice Kuşak SamancıÜlke: Turkey
 Bibtex ```@araştırma makalesi { konuralpjournalmath370669, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {}, volume = {6}, pages = {144 - 148}, doi = {}, title = {Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal}, key = {cite}, author = {Kuşak Samancı, Hatice} }``` APA Kuşak Samancı, H . (). Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal. Konuralp Journal of Mathematics, 6 (1), 144-148. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/31478/370669 MLA Kuşak Samancı, H . "Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal". Konuralp Journal of Mathematics 6 (): 144-148 Chicago Kuşak Samancı, H . "Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal". Konuralp Journal of Mathematics 6 (): 144-148 RIS TY - JOUR T1 - Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal AU - Hatice Kuşak Samancı Y1 - 2018 PY - 2018 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 144 EP - 148 VL - 6 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2018 ER - EndNote %0 Konuralp Journal of Mathematics Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal %A Hatice Kuşak Samancı %T Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal %D 2018 %J Konuralp Journal of Mathematics %P -2147-625X %V 6 %N 1 %R %U ISNAD Kuşak Samancı, Hatice . "Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal". Konuralp Journal of Mathematics 6 / 1 144-148.