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SplineWeights

Bスプライン関数およびグラフィックスプリミティブのオプションで，制御点の重みを指定する．

詳細
Details and Options Details and Options
例題  
例  
アプリケーション  
関連項目
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引用書式

SplineWeights

SplineWeights

Bスプライン関数およびグラフィックスプリミティブのオプションで，制御点の重みを指定する．

詳細

  • SplineWeights->Automaticは，すべての重みを等しくし，多項式スプラインを返す．
  • SplineWeights->array とすると，array の各要素が指定された制御点の配列中の対応する制御点の重みを与える．

例題

すべて開く すべて閉じる

例  (1)

次ではすべての重みが等しい：

Wolfram Language code: pts = {{0, 0}, {1, 1}, {2, -1}, {3, 0}, {4, -2}, {5, 1}};
Wolfram Language code: Graphics[{Point[pts], BSplineCurve[pts, SplineWeights -> Automatic]}]

3番目の制御点により大きい重みを使う：

Wolfram Language code: Graphics[{Point[pts], BSplineCurve[pts, SplineWeights -> {1, 1, 10, 1, 1, 1}]}]

アプリケーション  (2)

重み付きのBスプライン曲線を使った完全な円：

Wolfram Language code: pts = {{.5, 0}, {1, 0}, {1, 1}, {.5, 1}, {0, 1}, {0, 0}, {.5, 0}}; w = {1, .5, .5, 1, .5, .5, 1}; k = {0, 0, 0, 1 / 4, 1 / 2, 1 / 2, 3 / 4, 1, 1, 1};
Wolfram Language code: Graphics[BSplineCurve[pts, SplineWeights -> w, SplineKnots -> k]]

重み付きのBスプライン曲面を使ったパイプの接合部：

Wolfram Language code: pts = {{{0.5, 0, -0.5}, {0, 0, -0.5}, {0, 1, -0.5}, {0.5, 1, -0.5}, {1, 1, -0.5}, {1, 0, -0.5}, {0.5, 0, -0.5}}, {{0.5, 0, 0.7}, {0, 0, 0.7}, {0, 1, 0.7}, {0.5, 1, 0.7}, {1, 1, 0.7}, {1, 0, 0.7}, {0.5, 0, 0.7}}, {{0.5, 0, 0.9}, {0, 0, 0.9}, {0, 1, 1.5}, {0.5, 1, 1.5}, {1, 1, 1.5}, {1, 0, 0.9}, {0.5, 0, 0.9}}, {{0.5, -0.1, 1}, {0, -0.1, 1}, {0, 0.5, 2}, {0.5, 0.5, 2}, {1, 0.5, 2}, {1, -0.1, 1}, {0.5, -0.1, 1}}, {{0.5, -0.3, 1}, {0, -0.3, 1}, {0, -0.3, 2}, {0.5, -0.3, 2}, {1, -0.3, 2}, {1, -0.3, 1}, {0.5, -0.3, 1}}, {{0.5, -1.5, 1}, {0, -1.5, 1}, {0, -1.5, 2}, {0.5, -1.5, 2}, {1, -1.5, 2}, {1, -1.5, 1}, {0.5, -1.5, 1}}};w = {{1, .5, .5, 1, .5, .5, 1}, {1, .5, .5, 1, .5, .5, 1}, {1, .5, .5, 1, .5, .5, 1}, {1, .5, .5, 1, .5, .5, 1}, {1, .5, .5, 1, .5, .5, 1}, {1, .5, .5, 1, .5, .5, 1}}; uk = {0, 0, 0, 1 / 4, 1 / 2, 3 / 4, 1, 1, 1}; vk = {0, 0, 0, 1 / 4, 1 / 2, 1 / 2, 3 / 4, 1, 1, 1};
Wolfram Language code: Graphics3D[{ FaceForm[Yellow, Blue], BSplineSurface[pts, SplineKnots -> {uk, vk}, SplineDegree -> 2, SplineWeights -> w, SplineClosed -> {False, True}]}, ViewPoint -> {Right, Front}]
Wolfram Research (2008), SplineWeights, Wolfram言語関数， https://reference.wolfram.com/language/ref/SplineWeights.html.

テキスト

Wolfram Research (2008), SplineWeights, Wolfram言語関数， https://reference.wolfram.com/language/ref/SplineWeights.html.

CMS

Wolfram Language. 2008. "SplineWeights." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SplineWeights.html.

APA

Wolfram Language. (2008). SplineWeights. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SplineWeights.html

BibTeX

@misc{reference.wolfram_2026_splineweights, author="Wolfram Research", title="{SplineWeights}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/SplineWeights.html}", note=[Accessed: 18-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_splineweights, organization={Wolfram Research}, title={SplineWeights}, year={2008}, url={https://reference.wolfram.com/language/ref/SplineWeights.html}, note=[Accessed: 18-June-2026]}