See Bézier curve in All languages combined, or Wiktionary
Download JSON data for Bézier curve meaning in English (5.7kB)
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"text": "Bézier curves are applied, for example in computer graphics and animation, to produce smooth, infinitely scalable curves.",
"type": "example"
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{
"ref": "2003, Samuel R. Buss, 3D Computer Graphics: A Mathematical Introduction with OpenGL, Cambridge University Press, page 163",
"text": "So, instead, it is often better to combine multiple Bézier curves to form a longer, more complicated curve called a piecewise Bézier curve.\nThis section discusses how to join Bézier curves together – especially how to join them so as to preserve continuity and smoothness (i.e., continuity of the first derivative).",
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"ref": "2008, T. Theoharis, G. Papaioannou, N. Platis, N. M. Patrikalakis, Graphics & Visualization: Principles and Algorithms, Taylor & Francis (A K Peters / CRC Press), page 193",
"text": "The initial points p₀, p₁, and p₂ are called control points of the Bézier curve.[…]The process outlined above for the generation of a quadratic Bézier curve from its three control points can be generalized for more control points in a straightforward manner.",
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"text": "When an affine transformation is applied to the control points, the resulting Bézier curve with respect to the new control points coincides with the transformed Bézier curve. Therefore, Bézier curves are invariant under affine transformations like rotation, translation or scaling. Bézier curves are also symmetric with respect to their control points.",
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"(mathematics, computer graphics) A type of parametric curve defined by a set of control points, two of which are the ends of the curve, while the others determine its shape."
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"related": [
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"word": "bezier"
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{
"word": "Bézier coefficient"
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"word": "Bézier spline"
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{
"word": "Bézier surface"
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{
"word": "Bézier triangle"
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{
"word": "Bernstein form"
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"word": "control point"
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "kind of parametric curve",
"word": "貝茲曲線"
},
{
"code": "cmn",
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"roman": "Bèizī qǔxiàn",
"sense": "kind of parametric curve",
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"word": "Bézierova křivka"
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{
"code": "fi",
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"sense": "kind of parametric curve",
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{
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"sense": "kind of parametric curve",
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"sense": "kind of parametric curve",
"tags": [
"feminine"
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"word": "Bézierkurve"
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{
"code": "it",
"lang": "Italian",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "curva di Bézier"
},
{
"code": "ja",
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"roman": "Beje kyokusen",
"sense": "kind of parametric curve",
"word": "ベジェ曲線"
},
{
"code": "ru",
"lang": "Russian",
"roman": "krivája Bezʹjé",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "крива́я Безье́"
},
{
"code": "es",
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"sense": "kind of parametric curve",
"tags": [
"feminine"
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"word": "curva de Bézier"
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"sounds": [
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"word": "Bézier coefficient"
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{
"word": "Bézier spline"
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{
"word": "Bézier surface"
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{
"word": "Bézier triangle"
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"word": "Bernstein form"
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"ref": "2003, Samuel R. Buss, 3D Computer Graphics: A Mathematical Introduction with OpenGL, Cambridge University Press, page 163",
"text": "So, instead, it is often better to combine multiple Bézier curves to form a longer, more complicated curve called a piecewise Bézier curve.\nThis section discusses how to join Bézier curves together – especially how to join them so as to preserve continuity and smoothness (i.e., continuity of the first derivative).",
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"text": "The initial points p₀, p₁, and p₂ are called control points of the Bézier curve.[…]The process outlined above for the generation of a quadratic Bézier curve from its three control points can be generalized for more control points in a straightforward manner.",
"type": "quotation"
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"ref": "2012, Frank Klawonn, Introduction to Computer Graphics: Using Java 2D and 3D, 2nd edition, Springer, page 151",
"text": "When an affine transformation is applied to the control points, the resulting Bézier curve with respect to the new control points coincides with the transformed Bézier curve. Therefore, Bézier curves are invariant under affine transformations like rotation, translation or scaling. Bézier curves are also symmetric with respect to their control points.",
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"A type of parametric curve defined by a set of control points, two of which are the ends of the curve, while the others determine its shape."
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"(mathematics, computer graphics) A type of parametric curve defined by a set of control points, two of which are the ends of the curve, while the others determine its shape."
],
"synonyms": [
{
"word": "bezier"
}
],
"topics": [
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"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"sense": "kind of parametric curve",
"word": "貝茲曲線"
},
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "Bèizī qǔxiàn",
"sense": "kind of parametric curve",
"word": "贝兹曲线"
},
{
"code": "cs",
"lang": "Czech",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "Bézierova křivka"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "kind of parametric curve",
"word": "Bézier-käyrä"
},
{
"code": "fr",
"lang": "French",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "courbe de Bézier"
},
{
"code": "de",
"lang": "German",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "Bézierkurve"
},
{
"code": "it",
"lang": "Italian",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "curva di Bézier"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "Beje kyokusen",
"sense": "kind of parametric curve",
"word": "ベジェ曲線"
},
{
"code": "ru",
"lang": "Russian",
"roman": "krivája Bezʹjé",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "крива́я Безье́"
},
{
"code": "es",
"lang": "Spanish",
"sense": "kind of parametric curve",
"tags": [
"feminine"
],
"word": "curva de Bézier"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "kind of parametric curve",
"tags": [
"common-gender"
],
"word": "Bézier-kurva"
}
],
"word": "Bézier curve"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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