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Installiere es mit: pip install opencv-contrib-python" + ) from exc + + +# ========================= +# Header / Parameter +# ========================= + +PAGE_FORMAT = "A0" # z.B. A0, A1, A2, A3, A4 +ORIENTATION = "portrait" # "portrait" oder "landscape" + +NUM_ARUCOS = 60 +ARUCO_SIZE_MM = 25.0 +ARUCO_START_ID = 103 # erster Marker aus DICT_4X4_250 +SEED = 223 # Zufalls-Seed fﾃｼr reproduzierbare Verteilung + +PAGE_BORDER_MARGIN_MM = 50.0 # Abstand aller Marker vom Seitenrand + +FORBIDDEN_RECT_W_MM = 204.0 +FORBIDDEN_RECT_H_MM = 1000.0 +FORBIDDEN_RECT_MARGIN_MM = 30.0 # keine ArUcos innerhalb dieses Abstands + +LINE_WIDTH_MM = 1.0 # Linienstﾃ､rke des Rechtecks + +OUTPUT_BASENAME = f"A0_{NUM_ARUCOS}Arucos_{int(ARUCO_SIZE_MM)}mm_Seet{SEED}" + + +# ========================= +# DIN-Formate +# ========================= + +DIN_SIZES_MM = { + "A0": (841.0, 1189.0), + "A1": (594.0, 841.0), + "A2": (420.0, 594.0), + "A3": (297.0, 420.0), + "A4": (210.0, 297.0), +} + + +@dataclass(frozen=True) +class RectMM: + x: float + y: float + w: float + h: float + + def intersects(self, other: "RectMM") -> bool: + return not ( + self.x + self.w <= other.x + or other.x + other.w <= self.x + or self.y + self.h <= other.y + or other.y + other.h <= self.y + ) + + +def mm_to_pt(value_mm: float) -> float: + return value_mm * mm + + +def get_page_size_mm(page_format: str, orientation: str) -> Tuple[float, float]: + if page_format not in DIN_SIZES_MM: + raise ValueError(f"Unbekanntes Format: {page_format}. Unterstﾃｼtzt: {sorted(DIN_SIZES_MM)}") + + w_mm, h_mm = DIN_SIZES_MM[page_format] + if orientation.lower() == "portrait": + return w_mm, h_mm + if orientation.lower() == "landscape": + return h_mm, w_mm + raise ValueError("ORIENTATION muss 'portrait' oder 'landscape' sein.") + + +def centered_rect(page_w_mm: float, page_h_mm: float, rect_w_mm: float, rect_h_mm: float) -> RectMM: + return RectMM( + x=(page_w_mm - rect_w_mm) / 2.0, + y=(page_h_mm - rect_h_mm) / 2.0, + w=rect_w_mm, + h=rect_h_mm, + ) + + +def expand_rect(rect: RectMM, margin_mm: float) -> RectMM: + return RectMM( + x=rect.x - margin_mm, + y=rect.y - margin_mm, + w=rect.w + 2.0 * margin_mm, + h=rect.h + 2.0 * margin_mm, + ) + + +def get_aruco_dictionary(): + # DICT_4X4_250 hat IDs 0..249 + return cv2.aruco.getPredefinedDictionary(cv2.aruco.DICT_4X4_250) + + +def marker_module_pattern(marker_id: int) -> List[List[int]]: + """ + Liefert ein 6x6-Raster (inkl. schwarzem Rand). + 1 = schwarz, 0 = weiss + """ + aruco_dict = get_aruco_dictionary() + img = cv2.aruco.generateImageMarker(aruco_dict, marker_id, 600) # nur zum Abtasten + modules = 6 + cell = img.shape[0] // modules + + pattern: List[List[int]] = [] + for r in range(modules): + row: List[int] = [] + for c in range(modules): + cy = int((r + 0.5) * cell) + cx = int((c + 0.5) * cell) + pixel = int(img[cy, cx]) # 0 = schwarz, 255 = weiss + row.append(1 if pixel < 128 else 0) + pattern.append(row) + return pattern + + +def draw_aruco_vector( + c: canvas.Canvas, + x_mm: float, + y_mm: float, + size_mm: float, + marker_id: int, + page_h_mm: float, +) -> None: + """ + Zeichnet den Marker als Vektor-Rechtecke. + x_mm, y_mm = linke obere Ecke in mm. + """ + pattern = marker_module_pattern(marker_id) + modules = len(pattern) + cell_mm = size_mm / modules + + for r in range(modules): + for col in range(modules): + if pattern[r][col] == 1: + cell_x_mm = x_mm + col * cell_mm + cell_y_mm = y_mm + (modules - 1 - r) * cell_mm + c.rect( + mm_to_pt(cell_x_mm), + mm_to_pt(page_h_mm - cell_y_mm - cell_mm), + mm_to_pt(cell_mm), + mm_to_pt(cell_mm), + stroke=0, + fill=1, + ) + + +def place_markers( + page_w_mm: float, + page_h_mm: float, + num_markers: int, + marker_size_mm: float, + border_margin_mm: float, + forbidden_area: RectMM, + forbidden_margin_mm: float, + seed: int, +) -> List[dict]: + rng = random.Random(seed) + placed: List[RectMM] = [] + result: List[dict] = [] + + allowed_x_min = border_margin_mm + allowed_y_min = border_margin_mm + allowed_x_max = page_w_mm - border_margin_mm - marker_size_mm + allowed_y_max = page_h_mm - border_margin_mm - marker_size_mm + + if allowed_x_max < allowed_x_min or allowed_y_max < allowed_y_min: + raise RuntimeError("Das Poster ist zu klein fﾃｼr Randabstand und Markergrﾃｶsse.") + + excluded = expand_rect(forbidden_area, forbidden_margin_mm) + + attempts = 0 + max_attempts = 200000 + + while len(result) < num_markers and attempts < max_attempts: + attempts += 1 + x = rng.uniform(allowed_x_min, allowed_x_max) + y = rng.uniform(allowed_y_min, allowed_y_max) + candidate = RectMM(x=x, y=y, w=marker_size_mm, h=marker_size_mm) + + if any(candidate.intersects(other) for other in placed): + continue + if candidate.intersects(excluded): + continue + + placed.append(candidate) + result.append( + { + "id": ARUCO_START_ID + len(result), + "x_mm": round(x, 2), + "y_mm": round(y, 2), + "size_mm": marker_size_mm, + } + ) + + if len(result) < num_markers: + raise RuntimeError( + f"Nicht alle Marker konnten platziert werden: {len(result)} von {num_markers} " + f"(nach {attempts} Versuchen)." + ) + + return result + + +def main() -> None: + page_w_mm, page_h_mm = get_page_size_mm(PAGE_FORMAT, ORIENTATION) + + if ARUCO_START_ID < 0 or ARUCO_START_ID + NUM_ARUCOS > 250: + raise ValueError("ARUCO_START_ID + NUM_ARUCOS muss in den Bereich 0..249 von DICT_4X4_250 fallen.") + + forbidden_rect = centered_rect(page_w_mm, page_h_mm, FORBIDDEN_RECT_W_MM, FORBIDDEN_RECT_H_MM) + + # Neues lokales Koordinatensystem + origin_x_mm = forbidden_rect.x + forbidden_rect.w - 90.0 + origin_y_mm = forbidden_rect.y + + placements = place_markers( + page_w_mm=page_w_mm, + page_h_mm=page_h_mm, + num_markers=NUM_ARUCOS, + marker_size_mm=ARUCO_SIZE_MM, + border_margin_mm=PAGE_BORDER_MARGIN_MM, + forbidden_area=forbidden_rect, + forbidden_margin_mm=FORBIDDEN_RECT_MARGIN_MM, + seed=SEED, + ) + + pdf_path = Path(f"{OUTPUT_BASENAME}.pdf") + json_path = Path(f"{OUTPUT_BASENAME}.json") + + c = canvas.Canvas(str(pdf_path), pagesize=(mm_to_pt(page_w_mm), mm_to_pt(page_h_mm))) + c.setTitle(pdf_path.stem) + c.setAuthor("OpenAI") + c.setSubject("A0 poster with random ArUco placement") + + # Weisser Hintergrund + c.setFillColorRGB(1, 1, 1) + c.rect(0, 0, mm_to_pt(page_w_mm), mm_to_pt(page_h_mm), stroke=0, fill=1) + + # Rechteck mit 1 mm schwarzer Linie + c.setStrokeColorRGB(0, 0, 0) + c.setLineWidth(mm_to_pt(LINE_WIDTH_MM)) + c.rect( + mm_to_pt(forbidden_rect.x), + mm_to_pt(page_h_mm - forbidden_rect.y - forbidden_rect.h), + mm_to_pt(forbidden_rect.w), + mm_to_pt(forbidden_rect.h), + stroke=1, + fill=0, + ) + + # Koordinatensystem + + ARROW_LEN_MM = 50.0 + + # X-Achse (rot, nach unten) + c.setStrokeColorRGB(1, 0, 0) + c.setLineWidth(mm_to_pt(1.0)) + + c.line( + mm_to_pt(origin_x_mm), + mm_to_pt(page_h_mm - origin_y_mm), + mm_to_pt(origin_x_mm), + mm_to_pt(page_h_mm - (origin_y_mm + ARROW_LEN_MM)), + ) + + # Pfeilspitze + c.line( + mm_to_pt(origin_x_mm), + mm_to_pt(page_h_mm - (origin_y_mm + ARROW_LEN_MM)), + mm_to_pt(origin_x_mm - 4), + mm_to_pt(page_h_mm - (origin_y_mm + ARROW_LEN_MM - 4)), + ) + c.line( + mm_to_pt(origin_x_mm), + mm_to_pt(page_h_mm - (origin_y_mm + ARROW_LEN_MM)), + mm_to_pt(origin_x_mm + 4), + mm_to_pt(page_h_mm - (origin_y_mm + ARROW_LEN_MM - 4)), + ) + + # Y-Achse (grﾃｼn, nach links) + c.setStrokeColorRGB(0, 0.7, 0) + + c.line( + mm_to_pt(origin_x_mm), + mm_to_pt(page_h_mm - origin_y_mm), + mm_to_pt(origin_x_mm - ARROW_LEN_MM), + mm_to_pt(page_h_mm - origin_y_mm), + ) + + # Pfeilspitze + c.line( + mm_to_pt(origin_x_mm - ARROW_LEN_MM), + mm_to_pt(page_h_mm - origin_y_mm), + mm_to_pt(origin_x_mm - ARROW_LEN_MM + 4), + mm_to_pt(page_h_mm - origin_y_mm - 4), + ) + c.line( + mm_to_pt(origin_x_mm - ARROW_LEN_MM), + mm_to_pt(page_h_mm - origin_y_mm), + mm_to_pt(origin_x_mm - ARROW_LEN_MM + 4), + mm_to_pt(page_h_mm - origin_y_mm + 4), + ) + + c.setStrokeColorRGB(0, 0, 0) + + # ArUcos zeichnen + c.setFillColorRGB(0, 0, 0) + for item in placements: + draw_aruco_vector( + c=c, + x_mm=item["x_mm"], + y_mm=item["y_mm"], + size_mm=item["size_mm"], + marker_id=item["id"], + page_h_mm=page_h_mm, + ) + + c.showPage() + c.save() + + # JSON mit Positionen + with json_path.open("w", encoding="utf-8") as f: + json.dump( + { + "page_format": PAGE_FORMAT, + "orientation": ORIENTATION, + "page_size_mm": {"width": page_w_mm, "height": page_h_mm}, + "seed": SEED, + "num_arucos": NUM_ARUCOS, + "aruco_size_mm": ARUCO_SIZE_MM, + "aruco_dictionary": "DICT_4X4_250", + "aruco_start_id": ARUCO_START_ID, + "page_border_margin_mm": PAGE_BORDER_MARGIN_MM, + "forbidden_rectangle_mm": { + "x": round(forbidden_rect.x, 2), + "y": round(forbidden_rect.y, 2), + "w": forbidden_rect.w, + "h": forbidden_rect.h, + }, + "forbidden_rectangle_margin_mm": FORBIDDEN_RECT_MARGIN_MM, + "placements": [ + {"id": p["id"],"position": [-1*round((p["y_mm"] + ARUCO_SIZE_MM / 2) - origin_y_mm, 2), round(origin_x_mm - (p["x_mm"] + ARUCO_SIZE_MM / 2), 2),-19],"normal": [0, 0, 1],"spin": 90} + for p in placements + ], + }, + f, + indent=2, + ensure_ascii=False, + ) + + print(f"PDF geschrieben: {pdf_path.resolve()}") + print(f"JSON geschrieben: {json_path.resolve()}") + + +if __name__ == "__main__": + main() \ No newline at end of file