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(dm-oep)}} \fancyhead[r]{¼Ü¹¹Éè¼ÆÎĵµ v2.0} \fancyfoot[c]{\thepage} \renewcommand{\headrulewidth}{0.4pt} \renewcommand{\footrulewidth}{0pt} % ================= ³¬Á´½ÓÉèÖà ================= \hypersetup{ colorlinks=true, linkcolor=blue!60!black, filecolor=magenta, urlcolor=cyan, citecolor=blue!60!black, } % ================= ´úÂë¿éÉèÖà ================= \definecolor{codegreen}{rgb}{0,0.6,0} \definecolor{codegray}{rgb}{0.5,0.5,0.5} \definecolor{codepurple}{rgb}{0.58,0,0.82} \definecolor{backcolour}{rgb}{0.95,0.95,0.92} \lstdefinestyle{mystyle}{ backgroundcolor=\color{backcolour}, commentstyle=\color{codegreen}, keywordstyle=\color{magenta}, numberstyle=\tiny\color{codegray}, stringstyle=\color{codepurple}, basicstyle=\ttfamily\footnotesize, breakatwhitespace=false, breaklines=true, captionpos=b, keepspaces=true, numbers=left, numbersep=5pt, showspaces=false, showstringspaces=false, showtabs=false, tabsize=2, frame=single } \lstset{style=mystyle} % ================= ×Ô¶¨ÒåÃüÁîÓë»·¾³ ================= \newcommand{\term}[1]{\textbf{\textit{#1}}} \newtheorem{principle}{Éè¼ÆÔÔò}[section] \newtheorem{decision}{¼Ü¹¹¾ö²ß}[section] % ================= ±êÌâÐÅÏ¢ ================= \title{\vspace{-1cm}\textbf{\huge È«Óòλ´íÖÆÔ쿪·ÅÉú̬ƽ̨ (dm-oep)} \\ \large Èí¼þ¼Ü¹¹Éè¼ÆÎĵµ (sad) } \author{ÏȽøÖÆÔìϵͳ¼Ü¹¹×é} \date{2026Äê3ÔÂ20ÈÕ} \begin{document} \maketitle \thispagestyle{empty} \begin{abstract} \noindent ±¾Îĵµ¶¨ÒåÁË¡°È«Óòλ´íÖÆÔ쿪·ÅÉú̬ƽ̨ (dm-oep)¡±µÄÈí¼þ¼Ü¹¹¡£Îĵµ²ûÊöÁËϵͳµÄÈý²ãÂß¼¼Ü¹¹£¨pdk²ã¡¢Öмä¼þ²ã¡¢Ó¦Óò㣩¡¢¹Ø¼üÊý¾ÝÄ£ÐÍ£¨msf/pcd£©¡¢È«Óò¿ª·ÅÉè¼ÆÔÔò¼°²¿Êð²ßÂÔ¡£±¾¼Ü¹¹Ö¼ÔÚ½â¾ö´«Í³ÖÆÔìÒµÉè¼Æ - ÖÆÔìÍѽÚÎÊÌ⣬ͨ¹ý±ê×¼»¯½Ó¿ÚºÍ΢·þÎñ»úÖÆ£¬¹¹½¨Ö§³Ö¿çÐÐÒµ¸´ÓõÄ΢¹Û½á¹¹Éè¼ÆÉú̬£¬ÊµÏÖ´Óºê¹ÛÐÔÄÜÐèÇóµ½Î»´íÃܶȳ¡·´Ñݼ°¹¤ÒÕ²ÎÊýÉú³ÉµÄ×Ô¶¯»¯±Õ»·¡£ \end{abstract} \tableofcontents \newpage \section{ÒýÑÔ (introduction)} \subsection{±³¾°ÓëÎÊÌâÓò} µ±Ç°»úÐµÖÆÔìÐÐÒµÃæÁÙÑϾþµÄ¡°Éè¼Æ - ÖÆÔìÍѽڡ±ÌôÕ½£º \begin{itemize} \item \textbf{΢¹ÛºÚºÐ}£ºÎ»´íÃÜ¶È ($\rho$) µÈ¹Ø¼ü΢¹Û×éÖ¯±äÁ¿ÔÚÉè¼Æ½×¶Î²»¿É¿Ø£¬ÒÀÀµ¾ÑéÊÔ´í¡£ \item \textbf{Êý¾Ý¹Âµº}£ºÖÆÔì¶Ë¹¤ÒÕ֪ʶÎÞ·¨Êý×Ö»¯·´À¡ÖÁÉè¼Æ¶Ë£¬²ÄÁÏDZÁ¦Î´±»³ä·ÖÍÚ¾ò¡£ \item \textbf{·â±ÕÉú̬}£ºÏÖÓÐÈí¼þ¶àΪ´¹Ö±·â±Õϵͳ£¬ÄÑÒÔÊÊÅä¶àÉ豸¡¢¶à¹¤ÒÕµÄÒì¹¹»·¾³¡£ \end{itemize} \subsection{¼Ü¹¹Ä¿±ê} ±¾¼Ü¹¹ÖÂÁ¦ÓÚ¹¹½¨Ò»¸ö¿ª·Å¡¢¿ÉÀ©Õ¹µÄ¹¤ÒµÈí¼þÉú̬£¬ºËÐÄÄ¿±ê°üÀ¨£º \begin{enumerate} \item \textbf{È«Á÷³Ì×Ô¶¯»¯}£ºÊµÏÖ $\text{ÐèÇó} \to \text{λ´í·´ÑÝ} \to \text{¹¤ÒÕÉú³É}$ µÄ×Ô¶¯±Õ»·¡£ÆäÖС°×Ô¶¯»¯¡±Ö¸Ëã·¨¿É×Ô¶¯µü´úÇó½â£¬ÎÞÐèÈ˹¤¸ÉÔ¤£»µ«É豸µ÷¶ÈºÍÉ豸²ÎÊýÏ·¢ÈÔ±£ÁôÈ˹¤È·ÈÏ»·½Ú¡£ \item \textbf{Òì¹¹¼æÈÝ}£ºÍ¨¹ý±ê×¼»¯ pdk ½Ó¿Ú£¬ÆÁ±Î²»Í¬³§ÉÌÉ豸£¨¼¤¹â¡¢¶ÍÔìµÈ£©µÄ²îÒì¡£ \item \textbf{¿çÐÐÒµ¸´ÓÃ}£º½¨Á¢Í¨ÓÃÖмä¼þ£¬Ö§³ÖÆû³µ¡¢º½¿Õ¡¢ÄÜÔ´µÈ¶àÁìÓò¿ìËÙÊÊÅä¡£ \item \textbf{¸ß¾«¶È¿ØÖÆ}£ºÈ·±£Î»´íÃܶȷ´ÑÝÎó²î¿ØÖÆÔÚ $10\%$ ÒÔÄÚ¡£ \end{enumerate} \section{×ÜÌå¼Ü¹¹ÊÓͼ (system overview)} \subsection{Âß¼¼Ü¹¹} ϵͳ²ÉÓÃÑϸñµÄ·Ö²ã¼Ü¹¹£¬×Ô϶øÉÏ·ÖΪ£º**¹¤ÒÕÉè¼ÆÌ×¼þ²ã (pdk)**¡¢**΢¹Û½á¹¹Éè¼ÆÖмä¼þ²ã (middleware)**¡¢**ÐÐҵרÓÃÓ¦Óòã (application)**¡£ \begin{figure}[h!] \centering \begin{tikzpicture}[ node distance=1.5cm, box/.style={rectangle, draw, thick, fill=white, minimum width=10cm, minimum height=1.2cm, align=center, rounded corners}, layer/.style={draw, dashed, rounded corners, inner sep=10pt}, arrow/.style={->, >=stealth, thick} ] % layer 3: application \node[box, fill=blue!5] (app) { \textbf{Éϲ㣺ÐÐҵרÓÃÉè¼ÆÈí¼þ (application)} \\ \small Æû³µÇáÁ¿»¯×¨¼Ò°æ | º½¿ÕҶƬ²å¼þ | ÄÜÔ´×°±¸¹¤¾ß | cad/cae¼¯³É }; % layer 2: middleware \node[box, fill=green!5, below=of app] (mid) { \textbf{Öв㣺΢¹Û½á¹¹Éè¼ÆÖмä¼þ (middleware)} \\ \small ÐèÇó½âÎöÆ÷ | λ´í·´ÑÝÇó½âÆ÷ | ¶àÔ´Êý¾ÝÈÚºÏ | ¹¤ÒÕÓÅ»¯Æ÷ | apiÍø¹Ø }; % layer 1: pdk \node[box, fill=orange!5, below=of mid] (pdk) { \textbf{µ×²ã£º¹¤ÒÕÉè¼ÆÌ×¼þ (pdk)} \\ \small ¼¤¹âÈÛ¸²pdk | ¶ÍÔìpdk | ÈÈ´¦Àípdk | Ôö²ÄÖÆÔìpdk (É豸ÉÌÌṩ) }; % arrows \draw[arrow] (app) -- (mid); \draw[arrow] (mid) -- (app); \draw[arrow] (mid) -- (pdk); \draw[arrow] (pdk) -- (mid); % labels \node[above=0.1cm of app, font=\small\itshape] {ÁìÓò֪ʶ·â×°}; \node[above=0.1cm of mid, font=\small\itshape] {ºËÐÄËã·¨Óë·þÎñ±àÅÅ}; \node[above=0.1cm of pdk, font=\small\itshape] {Ó²¼þÄÜÁ¦³éÏó}; \end{tikzpicture} \caption{dm-oep Èý²ãÂß¼¼Ü¹¹ÊÓͼ} \label{fig:arch_layers} \end{figure} \subsection{ÎïÀí²¿ÊðÊÓͼ} ϵͳ²ÉÓÃ\textbf{±ßÔÆÐͬ}²¿Êðģʽ£º \begin{itemize} \item \textbf{ÔÆ¶Ë}£º²¿ÊðÖмä¼þºËÐÄÇó½âÆ÷¡¢×¢²áÖÐÐÄ¡¢´ó¹æÄ£·ÂÕæ¼¯Èº£¬¸ºÔð¸ßËãÁ¦ÐèÇóµÄ·´ÑݼÆËã¡£ \item \textbf{±ßÔµ²à}£º²¿ÊðÇáÁ¿¼¶ pdk ·þÎñ¡¢Êý¾ÝÔ¤´¦ÀíÄ£¿é£¬¸ºÔðʵʱÉ豸½»»¥ºÍµÍÑÓ³Ù¿ØÖÆ¡£ \item \textbf{¿Í»§¶Ë}£ºÔËÐÐÐÐҵרÓÃÈí¼þ»òcad²å¼þ£¬¸ºÔð¿ÉÊÓ»¯ÓëÈË»ú½»»¥¡£ \end{itemize} \textbf{Êý¾ÝÁ÷×ßÏò}£º \begin{enumerate} \item Óû§Í¨¹ý¿Í»§¶ËÌá½»Éè¼ÆÐèÇ󣨼¸ºÎ+ÐÔÄÜ£©£¬¿Í»§¶Ë½«ÐèÇó·¢ËÍÖÁ±ßÔµ²à¡£ \item ±ßÔµ²àÔ¤´¦Àíºó£¬½«Ãô¸Ð¹¤ÒÕÊý¾ÝÁô´æÔÚ±¾µØ£¬½ö½«·ÇÃô¸ÐÔªÊý¾Ý£¨ÈçÐèÇ󳡣©·¢ËÍÖÁÔÆ¶Ë¡£ \item ÔÆ¶ËÍê³É·´ÑݼÆË㣬½«Î»´í³¡·µ»Ø±ßÔµ²à£»±ßÔµ²àµ÷Óñ¾µØpdkÉú³É×îÖÕ¹¤ÒÕ²ÎÊý¡£ \item ¹¤ÒÕ²ÎÊýÖ±½ÓÏ·¢¸øÏÖ³¡É豸£¬È«¹ý³ÌÃô¸ÐÊý¾Ý²»À뿪ÆóÒµÄÚÍø¡£ \end{enumerate} \section{Ïêϸ·Ö²ãÉè¼Æ (detailed design)} \subsection{µ×²ã£º¹¤ÒÕÉè¼ÆÌ×¼þ (pdk)} pdk ÊÇÁ¬½ÓÎïÀíÊÀ½çÓëÊý×ÖÊÀ½çµÄÇÅÁº£¬ÓÉÉè±¸ÖÆÔìÉÌÌṩ¡£ \subsubsection{ºËÐÄÖ°Ôð} \begin{itemize} \item ·â×°ÌØ¶¨É豸µÄ¹¤ÒÕÄÜÁ¦±ß½ç£¨¹¦ÂÊ¡¢ËÙ¶È¡¢Î¶ȷ¶Î§£©¡£ \item ÌṩÕýÏòÔ¤²âÄ£ÐÍ£º$\text{params} \to \text{microstructure}$¡£ \item (¿ÉÑ¡) Ìṩ¾Ö²¿·´Ñݽ¨Ò飺$\text{target microstructure} \to \text{initial params}$¡£ÈôÉ豸ÉÌδʵÏÖ·´Ñݽӿڣ¬Öмä¼þ½«²ÉÓûùÓÚÕýÏòÄ£Ð͵ÄËÑË÷Ëã·¨½øÐÐÌæ´ú¡£ \end{itemize} \subsubsection{±ê×¼½Ó¿Ú¶¨Òå} ËùÓÐ pdk ±ØÐë×ñÑ openapi 3.0 ¹æ·¶£¬ºËÐĽӿÚÈçÏ£º \begin{lstlisting}[language=python, caption=pdk ±ê×¼½Ó¿Úα´úÂë] class pdkinterface: def get_capabilities(self) -> devicecapability: """·µ»ØÉ豸ÄÜÁ¦ÔªÊý¾Ý""" pass def predict_microstructure( self, params: processparams ) -> microstructurefield: """ÕýÏòÔ¤²â£ºÊäÈ빤ÒÕ²ÎÊý£¬Êä³ö΢¹Û½á¹¹³¡ (msf)""" pass def inverse_process( self, target: microstructurefield ) -> processparams: """ÄæÏòÍÆ¼ö£ºÊäÈëÄ¿±ê΢¹Û½á¹¹£¬Êä³öÍÆ¼ö¹¤ÒÕ²ÎÊý""" # ¿ÉѡʵÏÖ£¬ÈôδʵÏÖÔòÖмä¼þͨ¹ýËÑË÷Ìæ´ú pass \end{lstlisting} \subsubsection{Êý¾Ý½»»»±ê×¼£ºÎ¢¹Û½á¹¹³¡ (msf)} ͳһ²ÉÓà json ¸ñʽÃèÊö¿Õ¼äÀëÉ¢»¯µÄ΢¹Û½á¹¹Êý¾Ý£¬Ö§³ÖÍø¸ñÍØÆËµÄÍⲿÒýÓ㺠\begin{lstlisting}[language=json, caption=msf Êý¾Ý¸ñʽʾÀý] { "format_version": "1.0", "mesh_type": "tetrahedral", "mesh_source": "file://meshes/shaft_mesh.stl", // ÒýÓÃÍâ²¿Íø¸ñÎļþ "coordinate_system": "cartesian", "data_points": [ {"id": 101, "x": 12.5, "y": 0.0, "z": 3.2, "rho": 1.2e12, "grain_size": 8.5}, {"id": 102, "x": 12.6, "y": 0.1, "z": 3.2, "rho": 1.15e12, "grain_size": 8.8} ], "metadata": { "material": "fe-cr-mo-ni-v", "source_pdk": "vendor-laser-x1", "confidence": 0.95 } } \end{lstlisting} \subsection{Öв㣺΢¹Û½á¹¹Éè¼ÆÖмä¼þ} Öмä¼þÊÇÉú̬µÄ¡°²Ù×÷ϵͳ¡±£¬¸ºÔðºËÐÄËã·¨Ö´ÐÐÓë·þÎñ±àÅÅ¡£ \subsubsection{ºËÐŦÄÜÄ£¿é} \begin{description} \item[ÐÔÄÜÐèÇó½âÎöÆ÷] ½«·Ç½á¹¹»¯ÐèÇó£¨Èç¡°±í²ãÓ²¶È>60hrc¡±£©×ª»¯ÎªÊýѧ»¯µÄÐÔÄÜÐèÇó³¡ $\mathcal{r}(\mathbf{x})$¡£ \item[λ´í·´ÑÝÇó½âÆ÷] Çó½âÄæÎÊÌ⣺ \begin{equation} \rho_{\text{req}} = \arg\min_{\rho} \sum_{i} w_i \| \phi_i(\rho) - \mathcal{r}_i \|^2_{l_2} + \lambda \|\nabla \rho\|^2 \label{eq:inverse} \end{equation} ÆäÖÐ $\phi_i$ ΪµÚ $i$ ¸öÎïÀíÁ¿£¨Ç¿¶È¡¢µ¼Èȵȣ©µÄÕýÏòÓ³É䣬$\mathcal{r}_i$ 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