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ReflectionTransform

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ベクトル v にとって法線となる，原点を通った鏡面上の像を表すTransformationFunctionを返す．

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ベクトル v にとって法線となる点 p を通った鏡面上の像を与える．

詳細

例題

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例  (2)基本的な使用例

直線についての反射：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-i3o2xv
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Out[1]=1
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-g6zfq7
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Out[2]=2

平面での反射：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-fwrifh
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Out[1]=1
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-4j2g2
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Out[2]=2

スコープ  (3)標準的な使用例のスコープの概要

記号単位ベクトル{u, v, w}についての反射変換：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-fki0xq
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Out[1]=1

{u, v, w}に垂直のベクトルは変化しない：

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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-h5266m
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Out[2]=2

2Dの形に適用された変換：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-g7xt0l
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-crv30x
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Out[2]=2

3Dの形に適用された変換：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-gc95ov
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-c1y145
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Out[2]=2

アプリケーション  (4)この関数で解くことのできる問題の例

グラフィックスを反射させる：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-kitdor
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-qsw1ab
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Out[2]=2

正弦波の反射：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-gptna0
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Out[1]=1

画像の鏡映：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-bzld86
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Out[1]=1

3D画像の 軸についての反射変換：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-d6zaob
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Out[1]=1

特性と関係  (5)この関数の特性および他の関数との関係

反射変換は等長変換，つまり距離を保つ変換である：

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In[4]:=4
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https://wolfram.com/xid/0b0ldjuli72-0xq8b
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In[5]:=5
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https://wolfram.com/xid/0b0ldjuli72-ciyzpc
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In[8]:=8
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https://wolfram.com/xid/0b0ldjuli72-g592dc
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Out[8]=8

反射変換はそれ自身の逆になる：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-cvvuvv
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-lezaw
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Out[2]=2

変換行列の行列式はである：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-bz8zsh
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-nbiu0
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Out[2]=2

ReflectionTransformはスケール変換として表すことができる：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-fiooxz
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-cjugj9
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Out[2]=2

ImageTransformationを使った画像の上下反射：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-cysssi
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Out[1]=1

主対角についての反射：

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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-dbb4vr
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Out[2]=2

主反対角についての反射：

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In[3]:=3
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https://wolfram.com/xid/0b0ldjuli72-b5zdtv
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Out[3]=3

考えられる問題  (1)よく起る問題と予期しない動作

反射は多角形の向きを変える：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-b5e5pd
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-dp5umv
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Out[2]=2

おもしろい例題  (1)驚くような使用例や興味深い使用例

3Dオブジェクトを点 p で反射させる：

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In[1]:=1
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https://wolfram.com/xid/0b0ldjuli72-jiaf3
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In[2]:=2
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https://wolfram.com/xid/0b0ldjuli72-c62ncu
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軸に沿って， 平面で：

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In[3]:=3
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https://wolfram.com/xid/0b0ldjuli72-bgiv88
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Out[3]=3

軸に沿って， 平面で：

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In[4]:=4
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https://wolfram.com/xid/0b0ldjuli72-dfmrnr
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Out[4]=4

軸に沿って， 平面で：

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In[5]:=5
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https://wolfram.com/xid/0b0ldjuli72-bfjp5i
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Out[5]=5
Wolfram Research (2007), ReflectionTransform, Wolfram言語関数， https://reference.wolfram.com/language/ref/ReflectionTransform.html.
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Wolfram Research (2007), ReflectionTransform, Wolfram言語関数， https://reference.wolfram.com/language/ref/ReflectionTransform.html.

テキスト

Wolfram Research (2007), ReflectionTransform, Wolfram言語関数， https://reference.wolfram.com/language/ref/ReflectionTransform.html.

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Wolfram Research (2007), ReflectionTransform, Wolfram言語関数， https://reference.wolfram.com/language/ref/ReflectionTransform.html.

CMS

Wolfram Language. 2007. "ReflectionTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ReflectionTransform.html.

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Wolfram Language. 2007. "ReflectionTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ReflectionTransform.html.

APA

Wolfram Language. (2007). ReflectionTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ReflectionTransform.html

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Wolfram Language. (2007). ReflectionTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ReflectionTransform.html

BibTeX

@misc{reference.wolfram_2025_reflectiontransform, author="Wolfram Research", title="{ReflectionTransform}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ReflectionTransform.html}", note=[Accessed: 06-April-2025 ]}

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@misc{reference.wolfram_2025_reflectiontransform, author="Wolfram Research", title="{ReflectionTransform}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/ReflectionTransform.html}", note=[Accessed: 06-April-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_reflectiontransform, organization={Wolfram Research}, title={ReflectionTransform}, year={2007}, url={https://reference.wolfram.com/language/ref/ReflectionTransform.html}, note=[Accessed: 06-April-2025 ]}

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@online{reference.wolfram_2025_reflectiontransform, organization={Wolfram Research}, title={ReflectionTransform}, year={2007}, url={https://reference.wolfram.com/language/ref/ReflectionTransform.html}, note=[Accessed: 06-April-2025 ]}