JP2020102215A - ユーザインタラクションを介した3dモデルオブジェクトのデサイニング - Google Patents
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Abstract
Description
この文脈及び他の文脈において、機械学習、特にオートエンコーダ及び/又はマニホールド学習は、広く重要性を増している。
[1]: “Stacked Denoising Autoencoders:
Learning Useful Representations in a Deep Network with a Local Denoising Criterion”、PVincent、HLarcohelle、ILajo
ie、YBengio、PManzagol、in The Journal of Machine Learning Research、2010.
[2]: Science、2006において、G.EHinton、RRSalakhutdinov、“Reducing Dimensionality o
f Data with Neural Networks”.
[3]: “Learning Deep Architectures for
AI”、YBengio、in Foundations and Trend
s in Machine Learning、2009.
[4]: “Generative Adversarial Nets”、IG
oodfellow、JPouget−Abadie、MMirza、BXu、DWarde−Farley、SOzair、ACourville、YBengio、in Advances in Neural Information Processing Systems、2014.
[5]: “Generative Visual Manipulation
on Natural Image Manifold”、J−Y Zhu、PK
rahenbuhl、EShechtman、AAEfros、in ECCV 2016.
[6]: “Neural Photo Editing with Intro
spective Adversarial Networks”、ABrock
、TLim、J.MRitchie、in ICLR 2017.
−変形制約は幾何学的形状を定義し、項は、探索された潜在ベクトルにデコーダを適用した結果と幾何学的形状との間の不一致にペナルティを課す;
−不一致は、探索された潜在ベクトルにデコーダを適用した結果の導関数と幾何学的形状との間の距離を含む;
−幾何学的形状は3D空間で定義され、導関数は探索された潜在ベクトルにデコーダを適用した結果である;
−幾何学的形状は2D平面内で定義され、導関数は探索された潜在ベクトルにデコーダを適用した結果の射影である;
−不一致は距離の単調関数である;
−3Dモデル化オブジェクトは3Dメッシュであり、幾何学的形状が3D空間で定義され、導関数が探索された潜在ベクトルにデコーダを適用した結果である場合、項は次のタイプのものである:
−機械学習デコーダは、エンコーダも備えるオートエンコーダのデコーダである;
−最適な潜在ベクトルの決定は、探索された潜在ベクトルにデコーダを適用した結果と3Dモデル化オブジェクトとの間の類似性に報酬を与える;
−最適な潜在ベクトルの決定は、エンコーダを3Dモデル化オブジェクトに適用した結果である第1の探索された潜在ベクトルから開始して、反復的に実行される;
− エネルギーは、探索された潜在ベクトルと、エンコーダを3Dモデル化オブジェクトに適用した結果との間の類似性に報酬を与える別の項を含む;
−他の項は探索された潜在ベクトルと、エンコーダを3Dモデル化オブジェクトに適用した結果との間の距離を含み、及び/又は、
−エネルギーが潜在空間上の探索された潜在ベクトルの尤度に報酬を与える別の項を含む。
次に、3Dモデル化オブジェクトの提供ステップS10について説明する。
・クラスに対する機械部品は、全て、同じ製造工程又は製造工程の同じ組み合わせで製造される;
・クラスに対する機械部品はすべて妥当な機械部品である;
・クラスに対する機械部品は、全て、技術及び/又は産業の同じ分野からのものである;
・クラスに対する機械部品はすべて、同じ機械的機能を実行する;
クラスに対する機械部品はそれぞれ、クラスの少なくとも1つの他の3Dモデル化オブジェクトと同様の形状を有する3Dモデル化オブジェクトによって表され(したがって、クラスに対する別の機械部品を表す);及び/又は
・クラスに対する機械部品はすべて、同じ機械的制約、機能的制約、製造制約、構造的制約、及び/又はアセンブリ制約に従う(例えば、これらを満たす、例えば、検証する)。
例では、変形制約が幾何学的形状を定義する。これらの例では、この項が探索された潜在ベクトルにデコーダを適用した結果と幾何学的形状との間の不一致にペナルティを課す。
例では、不一致が距離の単調関数である。
類似性に報酬を与えることは、提供された3Dモデル化オブジェクトに類似する3Dモデル化オブジェクト(すなわち、復号された潜在ベクトル)に報酬を与えることを可能にする。したがって、復号された最適な潜在ベクトルは、変形制約に適合する3Dモデル化オブジェクトであるだけでなく、提供された3Dモデル化オブジェクトに類似する3Dモデル化オブジェクトでもある。例では、本方法がしたがって、(例えばクラスの)他のもっともらしい3Dモデル化オブジェクトの中で、ユーザによって定義された変形制約及び提供された3Dモデル化オブジェクトの形状に(例えば最良に)適合する(例えばクラスの)もっともらしい3Dモデル化オブジェクトを決定することを可能にする。したがって、この方法は効率的かつ正確である。
これらの例では、最適な潜在ベクトルの決定ステップS40がエンコーダを3Dモデル化オブジェクトに適用した結果である第1の探索された潜在ベクトルから開始して、反復的に実行される。この最初に探索された潜在ベクトルを開始することは、潜在ベクトルの探索が符号化された3Dモデル化オブジェクトの近くで実行されるので、符号化された3Dモデル化オブジェクトに比較的近い最適な潜在ベクトルでエネルギーを最小化するための特に効率的な方法である。
Claims (15)
- ユーザ対話を介して3Dモデル化オブジェクトを設計するためのコンピュータ実施方法であって、
以下を提供するステップ(S10)と
3Dモデル化オブジェクト、及び
潜在空間内の値をとり、3Dモデル化オブジェクト空間内の値を出力する微分可能な関数である機械学習デコーダ、
3Dモデル化オブジェクトの一部に対する変形制約をユーザによって定義するステップ(S30)と、
エネルギを最小化する最適な潜在ベクトルを決定するステップ(S40)であって、エネルギ探索潜在ベクトルは、探索潜在ベクトルにデコーダを適用した結果による変形制約の非尊重を探索潜在ベクトル毎にペナルティとする項を含むステップと、
最適な潜在ベクトルに前記デコーダを適用するステップ(S50)と、
を含む方法。 - 前記変形制約は幾何学的形状を定義し、
前記項は、前記デコーダを前記探索された潜在ベクトルに適用した結果と前記幾何学的形状との間の不一致にペナルティを課す
請求項1に記載の方法。 - 前記不一致は、前記デコーダを前記探索された潜在ベクトルに適用した結果の導関数と前記幾何学的形状との間の距離を含む
請求項2に記載の方法。 - 幾何学的形状は3D空間において定義され、導関数は探索された潜在ベクトルにデコーダを適用した結果であるか、又は
幾何学的形状が2D平面において定義され、導関数は探索された潜在ベクトルにデコーダを適用した結果の射影である
請求項3に記載の方法。 - 前記不一致は、前記距離の単調関数である
請求項3又は4に記載の方法。 - 前記3Dモデル化オブジェクトは3Dメッシュであり、
幾何学的形状が3D空間で定義され、導関数が探索された潜在ベクトルにデコーダを適用した結果である場合、前記項は次式の型であり
- 前記デコーダを前記潜在空間上への前記3Dモデル化オブジェクトの射影に適用した結果から、前記デコーダを前記最適化された潜在ベクトルに適用した結果に変形演算を計算するステップ(S60)と、
前記変形演算を前記3Dモデル化オブジェクトに適用するステップ(S70)と
をさらに有する請求項1から6のいずれか一項に記載の方法。 - 前記機械学習デコーダはエンコーダも備えるオートエンコーダのデコーダであり、
前記最適な潜在ベクトルを決定するステップ(S40)は、前記デコーダを前記探索された潜在ベクトルに適用した結果と前記3Dモデル化オブジェクトとの間の類似性に報酬を与える
請求項1から7のいずれか一項に記載の方法。 - 前記最適な潜在ベクトルを決定するステップ(S40)は、前記エンコーダを前記3Dモデル化オブジェクトに適用した結果である第1の探索された潜在ベクトルから開始して、反復的に実行される
請求項8に記載の方法。 - 前記エネルギーは、前記探索された潜在ベクトルと、前記エンコーダを前記3Dモデル化オブジェクトに適用した結果との間の類似性に報酬を与える別の項を含む
請求項8又は9に記載の方法。 - 前記他の項は、前記探索された潜在ベクトルと、前記エンコーダを前記3Dモデル化オブジェクトに適用した結果との間の距離を含む
請求項10に記載の方法。 - 前記エネルギーは、前記潜在空間上の探索された潜在ベクトルの尤度に報酬を与える別の項を含む
請求項1乃至11のいずれか一項に記載の方法。 - 請求項1乃至12のいずれか一項に記載の方法を実行するための命令を含むコンピュータプログラム。
- 請求項13に記載のコンピュータプログラムを記録したコンピュータ可読記憶媒体。
- 請求項13に記載のコンピュータプログラムを記録した、メモリ及びディスプレイに結合されたプロセッサを含むコンピュータ。
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