フルバージョン表示 : モデリングに関係するテクスチャ
最近の3dcgアプリケーションではバンプマップはもとより、ディスプレースメントマップ、ノーマルマップなど、モデリングに関連するテクスチャ（イメージマップ）が利用できるようになってきている。
ここではそんな話を。
まずは当たり前に使われるバンプマップについて。
バンプマップは見かけ上へっこんでたり出っ張ってたりしているように見えても実際はそうはなっていない。
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こんなふうに見えても
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実際はのっぺり。影やハイライトを付けて立体的に見せてるだけ。
上記は極端な例だけど、
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こんな風に細かいディティールを付けたいときは有効なわけだ。
バンプマップはレンダリングが速いので浅いディティールにはよく使われる。
ちなみに「どの方向に」へこんだり出っ張ったりするのか、という話。
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大抵の3DCGアプリケーションには法線を表示する機能があるが、これは面の持っているベクトルになる。この線の方向に面が向いているってことね。法線は「ノーマル」とも呼ばれる。
この法線の方向にへこんだりするってわけだ。
バンプマップのイメージは高低差を表すグレースケール画像（モノクロ）が使われる。
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こんなん。
続いてディスプレースメントマップ。
これはバンプマップと違い「実際に」へこませたり出っ張ったりさせる。
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この角度ではバンプマップとそう変わらないけど、
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このとおり、実際に変形している。
図にあるオブジェクトの格子は実際のエッジ。なぜエッジや面の途中からこんな風にへこんだりできるかというとサブディビジョンと関係がある。（サブディビジョンについてはこっち (http://www.corenodes.net/showthread.php?t=171)）
265
わざと荒くしてみるとこんなカンジ。アプリケーション内部では再分割された面がこのように実際に変形されている。
再分割を上げ、テクスチャを高解像度にすれば、とても細かいディティールを再現することもできるが、メモリやCPUに負担がかかってしまう。そのため、高解像度な表現（マイクロポリゴンとか呼ばれる）には、レンダリング時に再現するなどアプリケーション独自の機能が備わっていたりする。
ディスプレースメントマップもバンプと同様、法線方向に変形するので、イメージ画像は高低差をグレースケールで。
271
ノーマルマップは、バンプマップのトコで出てきた法線と関係がある。
266
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変形しているように見えるけど、実際はしていない。
じゃあバンプでいいような気もするが、バンプとの大きな違いは、へこんだり出っ張ったりする方向が面のもっている法線にとらわれないコト、だ。
ノーマルマップのテクスチャにはRGBを使用したカラーのマップが使用される。
これはなにを意味するかというとRGBをXYZに割り当ててどの方向にも変形が可能ということを表す。
ちょっと例は悪いけど、下図のようにオーバーハングした形はバンプマップでの再現は不可能だ。
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ノーマルマップで再現した例。ほんとに例え悪いな…
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見るべきところは影やハイライトがしっかり濃く出ている点。
バンプマップもノーマルマップも錯覚を利用して立体に見せるという点では同じだけど、ノーマルマップはより高度に錯覚させて表現力を上げることができる。
ノーマルマップのイメージ画像はRGBなのでこのようになる。
272
ディスプレースメントやノーマルに使用する画像ファイル形式について。
少し古いアプリケーションではTIFF形式、最近のアプリケーションではOpenEXRなどが主に利用される。
なんで一般的なjpegが（あまり）使用されないかというと、jpegはRGB各8bitまでしか階調を使用できないからだ。TIFFは16bitまで、OpenEXRはRGB各32bitまでの階調を使える。
bitは2進数なので2をbit分べき乗すれば階調数が出る。
8bit = 256階調
16bit = 65,536階調
32bit = 4,294,967,296階調
実際の色数はRGB、3を掛けた色数になる。
人の脳では16bitぐらいでも色の境を認識することは難しいが、そこはコンピューター。
レンダリングには人が感じることのできない明るさ暗さまで計算される為、誤差を少なくするためには多くの情報が必要なのであった。
試しにディスプレースメントマップにjpegを使ってみるとがっかりするレンダリング結果が得られるよ。
最近は高品質な結果を得る為に32bit画像が使用される傾向にあるね。PCのスペックも上がってるし。
一般的には複数組み合わせて使用する。
例えば人物の場合、大まかにサブディビジョンでモデリングした後、筋肉や血管の表現にディスプレースメント、服の縫い合わせなどにノーマルマップ、服の繊維の表現にバンプ、等。
ディティール大 = ディスプレースメントマップ
ディティール中 = ノーマルマップ
ディティール細 = バンプマップ
ってカンジ。
画像がないとわかりづらいですね。後で準備します。
またしてもいまいちだけど晒します。
某ゲームのなんとかスーツ風。
マップ無し
274
ディスプレースメントマップ追加
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筋肉。
ノーマルマップ追加
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筋肉の繊維っていうか。
バンプマップ追加、完成。
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表面のディティール。
メッシュはこんなカンジ。
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バンプはともかく、この表現をポリゴンでやるには無理がある。
（カメラアップに耐えられるようあえて作りこむときもアリ）
この例はメッシュが単純すぎるけど、メッシュが複雑じゃないってメリットはいたるところで感じることになる。ボーンデフォームとか。最近のゲームはこういうモデルが多いみたい。
分かりやすい説明ありがとうございます。
ノーマルマップとバンプマップの違いがイマイチ掴めていなかったので、やっとスッキリした感じです。
Cgの世界では、こういった事って「とっくに分かってるでしょ？」的なノリで話が進められてしまう事が多いような気がするので（自分が勉強不足なだけかもですが）、ヒジョ〜に助かります。。
タッチの差で投稿かぶっちゃった。
自分も使い分けでいつも悩むんですけれどもね。
あまりリアル系のものを作らないんですが、建築パース系でとても利点を感じます。
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AFFAIR: Anatomize closely the financial statements of any U.S. Bank. You wishes socialize with that their "awkward" profits against customer deposits can clamber up from 25% to 40% -- but -- they be experiencing laws written in stone to limit the involvement trade amount they can establish someone recompense for customers on their deposits. The U.S. banks backfire their earnings into unnecessary frills and sterile expenditures like byzantine buildings etc., while offshore banking facilities don't do this and affront their profits with their customers.
FICTION: Offshore banking isn't regulated, so you are at jeopardize of losing all greenbacks deposited with them.
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