翻訳と辞書
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・ Controllers (DC Comics)
・ Controller–pilot data link communications
・ Control of ventilation
・ Control of Vibration at Work Regulations 2005
・ Control operation
・ Control order
・ Control panel
・ Control panel (engineering)
・ Control panel (software)
・ Control Panel (Windows)
・ Control Patrols
・ Control Pictures
・ Control pitcher
・ Control plane
・ Control point
Control point (mathematics)
・ Control point (orienteering)
・ Control premium
・ Control reconfiguration
・ Control register
・ Control reversal
・ Control Risks
・ Control rod
・ Control room
・ Control Room (film)
・ Control Room Presents
・ Control self-assessment
・ Control stand
・ Control store
・ Control Strip


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Control point (mathematics) : ウィキペディア英語版
Control point (mathematics)
In computer-aided geometric design a control point is a member of a set of points used to determine the shape of a spline curve or, more generally, a surface or higher-dimensional object.〔.〕
For Bézier curves, it has become customary to refer to the d-vectors p_i\ in a parametric representation \sum_i p_i \phi_i\ of a curve or surface in d-space as control points, while the scalar-valued functions \phi_i, defined over the relevant parameter domain, are the corresponding ''weight'' or ''blending functions''.
Some would reasonably insist, in order to give intuitive geometric meaning to the word `control', that the blending functions form a partition of unity, i.e., that the \phi_i are nonnegative and sum to one. This property implies that the curve lies within the convex hull of its control points.〔.〕 This is the case for Bézier's representation of a polynomial curve as well as for the B-spline representation of a spline curve or tensor-product spline surface.
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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