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Что (кто) такое T-spline - определение

T-spline

METHOD OF DEFINING COMPLEX SURFACES IN COMPUTER GRAPHICS

T-Spline (mathematics); Tspline; T spline; Smooth mesh

In computer graphics, a T-spline is a mathematical model for defining freeform surfaces.Reconsideration of T-spline data models and their exchanges using STEP A T-spline surface is a type of surface defined by a network of control points where a row of control points is allowed to terminate without traversing the entire surface.

https://en.wikipedia.org/wiki/T-spline

spline

WIKIMEDIA DISAMBIGUATION PAGE

Spline (device); Splines; Spline (disambiguation)

[spl??n]

¦ noun

1. a rectangular key fitting into grooves in the hub and shaft of a wheel, especially one formed integrally with the shaft which allows movement of the wheel on the shaft.

a corresponding groove in a hub along which the key may slide.

2. a slat.

3. a flexible wood or rubber strip used especially in drawing large curves.

4. Mathematics a continuous curve constructed so as to pass through a given set of points.

¦ verb secure by means of a spline.

?fit with a spline.

Origin

C18 (orig. East Anglian dialect): perh. related to splinter.

Cubic Hermite spline

$Cardinal spline example in 2D. The line represents the curve, and the squares represent the control points <math>\boldsymbol{p}_k</math>. Notice that the curve does not reach the first and last points; these points do, however, affect the shape of the curve. The tension parameter used is 0.1$

SPLINE WHERE EACH PIECE IS A THIRD-DEGREE POLYNOMIAL SPECIFIED IN HERMITE FORM: THAT IS, BY ITS VALUES AND FIRST DERIVATIVES AT THE END POINTS OF THE CORRESPONDING DOMAIN INTERVAL

Cubic spline; Cubic Hermite curve; Cubic Hermite curves; Cardinal spline; Catmull-Rom spline; Hermite curve; Hermite curves; Cubic interpolation; Cubic hermite spline; Catmull–Rom spline; Cspline; Catmull-Rom; Cubic Hermite Polynomial; Draft:Cubic interpolation

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, that is, by its values and first derivatives at the end points of the corresponding domain interval.

https://en.wikipedia.org/wiki/Cubic_Hermite_spline