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- Cubic_Hermite_spline abstract "In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite form (not to be confused with Hermite polynomial): that is, by its values and first derivatives at the end points of the corresponding domain interval.Cubic Hermite splines are typically used for interpolation of numeric data specified at given argument values , to obtain a smooth continuous function. The data should consist of the desired function value and derivative at each . (If only the values are provided, the derivatives must be estimated from them.) The Hermite formula is applied to each interval separately. The resulting spline will be continuous and will have continuous first derivative.Cubic polynomial splines can be specified in other ways, the Bézier form being the most common. However, these two methods provide the same set of splines, and data can be easily converted between the Bézier and Hermite forms; so the names are often used as if they were synonymous. Cubic polynomial splines are extensively used in computer graphics and geometric modeling to obtain curves or motion trajectories that pass through specified points of the plane or three-dimensional space. In these applications, each coordinate of the plane or space is separately interpolated by a cubic spline function of a separate parameter t. Cubic splines can be extended to functions of two or more parameters, in several ways. Bicubic splines (Bicubic interpolation) are often used to interpolate data on a regular rectangular grid, such as pixel values in a digital image or altitude data on a terrain. Bicubic surface patches, defined by three bicubic splines, are an essential tool in computer graphics.Cubic splines are often called csplines, especially in computer graphics. Hermite splines are named after Charles Hermite.".
- Cubic_Hermite_spline thumbnail HermiteBasis.svg?width=300.
- Cubic_Hermite_spline wikiPageExternalLink multidim.pdf.
- Cubic_Hermite_spline wikiPageExternalLink interpolation.
- Cubic_Hermite_spline wikiPageExternalLink splines.
- Cubic_Hermite_spline wikiPageExternalLink splines.pdf.
- Cubic_Hermite_spline wikiPageExternalLink Cardinal.htm.
- Cubic_Hermite_spline wikiPageExternalLink catmull.
- Cubic_Hermite_spline wikiPageID "656586".
- Cubic_Hermite_spline wikiPageRevisionID "594428969".
- Cubic_Hermite_spline hasPhotoCollection Cubic_Hermite_spline.
- Cubic_Hermite_spline subject Category:Interpolation.
- Cubic_Hermite_spline subject Category:Splines.
- Cubic_Hermite_spline type Artifact100021939.
- Cubic_Hermite_spline type BuildingMaterial114786479.
- Cubic_Hermite_spline type Lumber114943580.
- Cubic_Hermite_spline type Object100002684.
- Cubic_Hermite_spline type PhysicalEntity100001930.
- Cubic_Hermite_spline type Spline104282379.
- Cubic_Hermite_spline type Splines.
- Cubic_Hermite_spline type Strip104339638.
- Cubic_Hermite_spline type Whole100003553.
- Cubic_Hermite_spline comment "In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite form (not to be confused with Hermite polynomial): that is, by its values and first derivatives at the end points of the corresponding domain interval.Cubic Hermite splines are typically used for interpolation of numeric data specified at given argument values , to obtain a smooth continuous function.".
- Cubic_Hermite_spline label "Cubic Hermite spline".
- Cubic_Hermite_spline label "Kubisch Hermitescher Spline".
- Cubic_Hermite_spline label "Spline cubica di Hermite".
- Cubic_Hermite_spline label "Spline cubique d'Hermite".
- Cubic_Hermite_spline label "Сплайн Эрмита".
- Cubic_Hermite_spline label "منحنى هيرميت التكعيبي".
- Cubic_Hermite_spline sameAs Hermitova_kubika.
- Cubic_Hermite_spline sameAs Kubisch_Hermitescher_Spline.
- Cubic_Hermite_spline sameAs Spline_cubique_d'Hermite.
- Cubic_Hermite_spline sameAs Spline_cubica_di_Hermite.
- Cubic_Hermite_spline sameAs m.030681.
- Cubic_Hermite_spline sameAs Q1537263.
- Cubic_Hermite_spline sameAs Q1537263.
- Cubic_Hermite_spline sameAs Cubic_Hermite_spline.
- Cubic_Hermite_spline wasDerivedFrom Cubic_Hermite_spline?oldid=594428969.
- Cubic_Hermite_spline depiction HermiteBasis.svg.
- Cubic_Hermite_spline isPrimaryTopicOf Cubic_Hermite_spline.
