File:Quadratic Bezier parabola equivalence.svg
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[edit]DescriptionQuadratic Bezier parabola equivalence.svg |
English: Equivalence of a quadratic Bezier curve and a segment of a parabola. Tangents to the parabola at the end-points of the curve (A and B) intersect at its control point (C). If D is the mid-point of AB, the tangent to the curve which is perpendicular to CD (dashed cyan line) defines its vertex (V). Its axis of symmetry (dash-dot cyan) passes through V and is perpendicular to the tangent. E is either point on the curve with a tangent at 45 degrees to CD (dashed green). If G is the intersection of this tangent and the axis, the line passing through G and perpendicular to CD is the directrix (solid green). The focus (F) is at the intersection of the axis and a line passing through E and perpendicular to CD (dotted yellow). The latus rectum is the line segment within the curve (solid yellow). |
Source | Own work |
Author | Cmglee |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 12:41, 17 July 2015 | 512 × 768 (6 KB) | Cmglee (talk | contribs) | {{Information |Description ={{en|1=Equivalence of a quadratic Bezier curve and a segment of a parabola. Tangents to the parabola at the end-points of the curve (A and B) intersect at its control point (C). If D is the mid-point of AB, the tangent to... |
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Short title | Quadratic Bezier parabola equivalence |
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Image title | Equivalence of a quadratic Bezier curve and a segment of a parabola by CMG Lee. Tangents to the parabola at the end-points of the curve (A and B) intersect at its control point (C). If D is the mid-point of AB, the tangent to the curve which is perpendicular to CD (dashed cyan line) defines its vertex (V). Its axis of symmetry (dash-dot cyan) passes through V and is perpendicular to the tangent. E is either point on the curve with a tangent at 45 degrees to CD (dashed green). If G is the intersection of this tangent and the axis, the line passing through G and perpendicular to CD is the directrix (solid green). The focus (F) is at the intersection of the axis and a line passing through E and perpendicular to CD (dotted yellow). The latus rectum is the line segment within the curve (solid yellow). |
Width | 100% |
Height | 100% |