From 34984e96f77d9e568fa90e218deafdf02f05f7e0 Mon Sep 17 00:00:00 2001 From: Alex Date: Sun, 4 Oct 2026 23:13:07 +0200 Subject: [PATCH] Utilisation de depth map --- README.md | 54 +++++- deploy.ps1 | 5 +- docs/profondeur.png | Bin 0 -> 676938 bytes docs/schema_profondeur.py | 241 +++++++++++++++++++++++++ gray_iso_layers.inx | 25 ++- gray_iso_layers.py | 56 +++++- gray_iso_layers_core.py | 186 +++++++++++++++++++ images/depth_en.png | Bin 0 -> 353439 bytes locale/en/LC_MESSAGES/grayisolayers.mo | Bin 10734 -> 12142 bytes locale/fr/LC_MESSAGES/grayisolayers.mo | Bin 11757 -> 13176 bytes po/en.po | 48 +++-- po/fr.po | 48 +++-- po/grayisolayers.pot | 36 +++- test_gray_iso_layers.py | 121 ++++++++++++- 14 files changed, 766 insertions(+), 54 deletions(-) create mode 100644 docs/profondeur.png create mode 100644 docs/schema_profondeur.py create mode 100644 images/depth_en.png diff --git a/README.md b/README.md index 0857bde..a2da534 100644 --- a/README.md +++ b/README.md @@ -67,9 +67,15 @@ aplanis mais les yeux, la bouche et le bord du visage restent nets, et les - Planches à empiler : la planche n° 1 couvre toute l'image et chaque planche suivante, plus petite, se pose devant la précédente (la plus claire devant, ou la plus sombre devant), pour construire un relief en strates. +- Planches superposées à la place de l'image (aperçu du relief) ou + juxtaposées en grille à côté d'elle (chaque planche visible et découpable + seule, avec son repère). - Repère d'assemblage : chaque planche porte, en plus de son trait de découpe (rouge), le contour de la planche suivante (noir), au tracé exact de sa découpe, pour savoir où la coller. +- Numéros à graver : chaque pièce d'une planche porte son numéro, encadré, + et chaque zone marquée porte le numéro de la planche qui vient s'y coller. + Les chiffres sont tracés en segments droits, sans police de caractères. - Variante « Son gris seul » : chaque calque contient l'aplat de son gris, bordé sur tous ses côtés ; les planches pavent l'image sans se recouvrir et ne portent pas de repère. Les contours sont exactement les frontières de @@ -138,7 +144,7 @@ sous macOS) : - `gray_iso_layers.inx`, `gray_iso_layers.py`, `gray_iso_layers_core.py`, `gray_iso_layers_depth.py`, `depth_estimate.py` ; -- `images/parameters_en.png` ; +- `images/parameters_en.png`, `images/depth_en.png` ; - le dossier `locale/`. ## Utilisation @@ -164,6 +170,8 @@ vide. - **Découpe laser** : choisir « Aucun remplissage » ; il ne reste que les traits de découpe (rouge) et de marquage (noir), à affecter chacun à son réglage dans le logiciel de la machine. Découper un calque par feuille. + Avec la position « Juxtaposées », les planches sont rangées côte à côte : + on voit chacune en entier sans masquer les autres calques. - **Dessin au trait, comme une carte topographique** : remplissage « Couleur unique » blanche (ou « Aucun remplissage »), trait noir, repère décoché. - **Contours trop chargés, petits îlots** : augmenter le lissage ou le plus @@ -201,7 +209,9 @@ Onglet **Niveaux** | Nombre de niveaux de gris | 16 | Nombre d'aplats, donc de calques produits (2 à 64). | | Répartition des niveaux (% d'aires égales) | 0 | 0 : seuils régulièrement espacés. 100 : chaque planche couvre la même surface. | | Contenu de chaque planche | Empilées, la plus claire devant | « Empilées, la plus claire devant » : planche n° 1 = la plus sombre, toute l'image. « Empilées, la plus sombre devant » : planche n° 1 = la plus claire, toute l'image. « Son gris seul » : planches côte à côte, sans recouvrement, planche n° 1 = le gris le plus sombre. | +| Position des planches | Superposées, à la place de l'image | « Superposées » : toutes les planches à la place de l'image, comme une fois collées. « Juxtaposées » : chaque planche dans sa case d'une grille à droite de l'image, avec son repère, prête à être découpée seule. | | Reporter sur chaque planche le contour de la suivante | oui | Repère d'assemblage tracé dans la couleur de marquage (planches empilées uniquement). | +| Écrire les numéros des planches | oui | Numéros tracés en segments dans la couleur de marquage, à graver. Encadré : le numéro de la planche, sur chacune de ses pièces, caché sous la planche suivante quand la place le permet. Sans cadre : le numéro de la planche à coller dans cette zone marquée. | | Lissage (% du grand côté de l'image) | 1 | Lissage appliqué avant la découpe : plus il est fort, plus les contours sont ronds et simples. | | Préserver les contours lors du lissage | oui | Aplanit la peau et les textures mais garde nettes les transitions marquées (portraits, photos). Décoché : flou gaussien simple, mieux adapté aux reliefs abstraits. | | Résolution de calcul (points sur le grand côté) | 800 | Taille à laquelle l'image est rééchantillonnée pour le calcul. | @@ -211,11 +221,22 @@ Onglet **Niveaux** Onglet **Profondeur** -| Paramètre | Défaut | Rôle | -| --- | --- | --- | -| Part de la carte de profondeur (%) | 0 | 0 : gris de l'image seuls. 100 : profondeur estimée seule. Entre les deux, mélange. Demande `deploy.ps1 -Depth`. | -| Modèle de profondeur | Rapide (MiDaS small) | « Rapide » : MiDaS small, carte lisse. « Fin » : Depth Anything V2 Small, contours plus précis. | -| Détails fins de la photo (%) | 100 | Grave dans la profondeur les contrastes fins de la photo (yeux, bouche, sourcils). Un fond uni n'apporte rien et reste au fond. 0 : profondeur lisse seule. | +Chaque réglage porte un numéro dans la boîte de dialogue ; le schéma montre, +sous le même numéro, ce qu'il produit pour plusieurs valeurs (planches +découpées en 8 niveaux, la plus sombre au fond, la plus claire devant). + +![Schéma de l'onglet Profondeur](docs/profondeur.png) + +| N° | Paramètre | Défaut | Rôle | +| --- | --- | --- | --- | +| 1 | Part de la carte de profondeur (%) | 0 | 0 : gris de l'image seuls. 100 : profondeur estimée seule. Entre les deux, mélange. Demande `deploy.ps1 -Depth`. | +| 2 | Modèle de profondeur | Rapide (MiDaS small) | « Rapide » : MiDaS small, carte lisse. « Fin » : Depth Anything V2 Small, contours plus précis. | +| 3 | Détails fins de la photo (%) | 100 | Grave dans la profondeur les contrastes fins de la photo (yeux, bouche, sourcils). Un fond uni n'apporte rien et reste au fond. 0 : profondeur lisse seule. | + +Pour régler un portrait : mettre **1** à 100 % et choisir **2** = Fin, puis +doser **3** jusqu'à ce que le visage soit lisible sans petites formes parasites +(100 % en général). Baisser **1** ne sert que pour retrouver une part des +lumières et des ombres de la photo. Onglet **Style** @@ -243,6 +264,9 @@ locale/ Catalogues compilés (.mo), déployés images/parameters_en.png Schéma de l'onglet « Help » docs/schema_parametres.py Générateur du schéma (fr pour le README, en pour le dialogue) docs/parametres.png Schéma du README +docs/schema_profondeur.py Générateur du schéma de la carte de profondeur +docs/profondeur.png Schéma de la carte de profondeur (README) +images/depth_en.png Le même, en anglais, pour l'onglet « Depth » docs/exemple.png Illustrations du README (relief, portrait) docs/exemple-portrait.png doc/patern.jpg Motif qui a servi de modèle @@ -274,6 +298,9 @@ gris (0 noir, 1 blanc) ; un anneau est un tableau `(n, 2)` de points, en | `region_rings(field, lines, inside)` | Contour fermé d'une région bornée par des lignes de niveau, refermé le long du bord de l'image. | | `iso_boards(field, levels, blur, min_area, tolerance, shapes, preserve_edges, equalize)` | Une planche par niveau : liste de `(niveau, gris, anneaux, repère)`, le repère étant la ligne de niveau qui borde la planche suivante. | | `iso_layers(…)` | Comme `iso_boards`, sans les repères. | +| `board_labels(rings, following, number, width, height, largest, smallest)` | Emplacement et taille des numéros d'une planche : le sien par pièce, celui de la suivante par zone marquée. | +| `number_lines(number, x, y, height, framed)` / `number_size(…)` | Tracé d'un numéro en segments, cadre facultatif ; son encombrement. | +| `region_mask(rings, width, height, step)` / `mask_depth(mask)` / `mask_components(mask)` | Région en grille de booléens, distance au bord, parties d'un seul tenant. | | `image_ring(width, height)` | Rectangle de l'image. | | `scale_rings(rings, scale_x, scale_y, offset_x, offset_y)` | Passage au repère de destination. | | `lines_to_d(lines, smooth, box, precision, matrix)` / `scale_lines(…)` | Écriture et mise à l'échelle d'une ligne de niveau (boucles fermées et lignes ouvertes). | @@ -287,12 +314,12 @@ pip install pytest numpy pillow python -m pytest -q ``` -Sans `inkex` : 51 tests passent, 17 sont ignorés. Avec `inkex` : +Sans `inkex` : 54 tests passent, 19 sont ignorés. Avec `inkex` : ```powershell pip install lxml tinycss2 cssselect2 cssselect $env:PYTHONPATH = 'C:\Program Files\Inkscape\share\inkscape\extensions' -python -m pytest -q # 67 tests passent, 1 est ignoré +python -m pytest -q # 72 tests passent, 1 est ignoré ``` Le test ignoré est le calcul réel d'une carte de profondeur, qui demande @@ -306,7 +333,7 @@ Le test ignoré est le calcul réel d'une carte de profondeur, qui demande Les tests couvrent le noyau (lissage qui respecte les contours, répartition des niveaux, filtre guidé, détails fins gravés dans la profondeur, contours d'un cône et d'une rampe, fermeture le long des bords, cas selle, simplification, aplats conformes à l'image quantifiée, frontières communes aux aplats voisins, feuilles à empiler, îlots -écartés, écriture des chemins), la carte de profondeur avec un calcul simulé (cache, environnement transmis, causes d'échec), l'extension de bout en bout (image 16 bits, mélange de la profondeur et repli sur les gris, un calque par niveau, repères d'assemblage, image incorporée, liée ou +écartés, écriture des chemins), la carte de profondeur avec un calcul simulé (cache, environnement transmis, causes d'échec), l'extension de bout en bout (image 16 bits, mélange de la profondeur et repli sur les gris, planches juxtaposées, numéros des planches, un calque par niveau, repères d'assemblage, image incorporée, liée ou tournée, groupe sélectionné, styles, messages d'erreur) et la cohérence des traductions et du `.inx`. @@ -331,3 +358,12 @@ python docs/schema_parametres.py Produit `docs/parametres.png` (français, README) et `images/parameters_en.png` (anglais, onglet « Help »), tracés avec les fonctions du noyau. L'export PNG passe par `inkscape.com`. + +```powershell +python docs/schema_profondeur.py +``` + +Produit `docs/profondeur.png` (français, README) et `images/depth_en.png` +(anglais, onglet « Depth ») à partir du portrait d'essai `doc/personne.jpg`, +par les mêmes étapes que l'extension. La profondeur est réellement calculée : +il faut l'environnement de `deploy.ps1 -Depth`. diff --git a/deploy.ps1 b/deploy.ps1 index f388dd3..035fe5a 100644 --- a/deploy.ps1 +++ b/deploy.ps1 @@ -4,7 +4,7 @@ .DESCRIPTION Copie gray_iso_layers.inx, gray_iso_layers.py, gray_iso_layers_core.py, le schéma de l'onglet - « Help » (images\parameters_en.png) et les traductions + « Help » (images\parameters_en.png), celui de l'onglet « Depth » (images\depth_en.png) et les traductions compilées (locale\\LC_MESSAGES\grayisolayers.mo) dans un sous-dossier dédié du répertoire des extensions utilisateur d'Inkscape (Inkscape explore récursivement ce répertoire). 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zu3&8{gO$?hQ3gq`WUw5F*bjrvkC-=q>76*7U$Kv-B4A#854plCWg$4aHE=79F@Fmq z(dU8#KSJ>MR#IJJRdj+TCI-&ObA`#jVQBik2~BeoCoH#jo~vLuFr9^Vd$$xolT zcP8*#%{AfS1uq%mf?doio3Krv2Oa^telk*kqi-IejKfSi8?vEba>wwyZq(6Wqgyt?LXiePGDQ9aUQu<- zVt76+0kAPmf4OpU%6Le*j#A_Cvusj3$wAW++B5I`x2JGp+ESY&a~ zYCP}~ATto=ck&p=mQ+2NNG|w3hRt`&V<+iB5!4XN{k&Sq=G6$v!gPzAs>50qf)MQe z5OJx^e`S={UowAD$hzPfc+O;_8)9@w>3(@OZXgfXunyWoU{OZJd)R087Hx{VloA0l zuGH+aK`5^hp-c8tcub$ee1x)WHnK{9Eus28jcu1ENg=i?<*%NJUsxvF=d'.format( + base.fmt(x), base.fmt(y), TILE_W, TILE_H, base.EDGE)) + + +def draw_field(field, x, y): + """Vignette d'un champ, en image de gris.""" + buffer = io.BytesIO() + Image.fromarray((np.clip(field, 0, 1) * 255).round().astype(np.uint8)).save( + buffer, "PNG") + base.out.append( + ''.format( + base.fmt(x), base.fmt(y), TILE_W, TILE_H, + base64.b64encode(buffer.getvalue()).decode())) + frame(x, y) + + +def draw_boards(field, x, y): + """Vignette des planches decoupees dans un champ, chacune de son gris.""" + rows, cols = field.shape + layers = core.iso_layers(field, levels=LEVELS, blur=0.01 * max(rows, cols), + min_area=0.0004, tolerance=0.4, shapes="light", + preserve_edges=True) + scale_x, scale_y = TILE_W / (cols - 1.0), TILE_H / (rows - 1.0) + box = (x, y, x + TILE_W, y + TILE_H) + for _level, gray, rings in layers: + if not rings: + continue + d = core.rings_to_d(core.scale_rings(rings, scale_x, scale_y, x, y), + box=box, precision=1) + base.out.append(''.format( + d, core.gray_to_hex(gray), base.EDGE)) + frame(x, y) + + +def row(number, tiles): + """Ligne du parametre `number` : pastille, titre, note, puis les + vignettes `tiles`, liste de `(dessin, champ)`.""" + top = (number - 1) * ROW + # Pastille au numero du parametre, comme dans la boite de dialogue. + base.out.append(''.format( + top + 43, base.DIM)) + base.text(47, top + 43 + 7.5 * base.FS, str(number), size=21, color="#ffffff", + anchor="middle", weight="bold", halo=False) + base.text(76, top + 51, base.T["title{}".format(number)], size=22, + weight="bold", halo=False) + base.text(30, top + 84, base.T["note{}".format(number)], size=15, halo=False) + captions = base.T["tiles{}".format(number)] + for column, ((draw, field), caption) in enumerate(zip(tiles, captions)): + x, y = tile_box(number - 1, column) + draw(field, x, y) + base.text(x + TILE_W / 2.0, y + TILE_H + 22 * base.FS, caption, size=16, + color=base.DIM, anchor="middle", weight="bold", halo=False) + + +def build(language, portrait): + version = VERSIONS[language] + base.out.clear() + base.T.clear() + base.T.update(version["text"]) + base.FS = version["font_scale"] + + base.out.append(''.format(W, H)) + for y in (ROW, 2 * ROW): + base.out.append(''.format(y, W - 20)) + fine, fast = "depth_anything_v2_small", "midas_small" + row(1, [(draw_field, portrait.gray)] + + [(draw_boards, portrait.field(mix, 100)) for mix in (0, 50, 100)]) + row(2, [(draw_field, portrait.depth[fast]), + (draw_boards, portrait.field(100, 100, fast)), + (draw_field, portrait.depth[fine]), + (draw_boards, portrait.field(100, 100, fine))]) + row(3, [(draw_boards, portrait.field(100, detail)) + for detail in (0, 50, 100, 200)]) + + svg = ('\n' + '\n{2}\n\n').format(W, H, "\n".join(base.out)) + with open(version["svg"], "w", encoding="utf-8", newline="\n") as handle: + handle.write(svg) + print(version["svg"]) + base.export_png(version["svg"], version["png"], version["png_width"]) + + +def main(argv): + try: + portrait = Portrait() + except DepthUnavailable as error: + sys.exit("Carte de profondeur indisponible ({}) : lancer " + "deploy.ps1 -Depth.".format(error)) + for language in argv or sorted(VERSIONS): + build(language, portrait) + + +if __name__ == "__main__": + main(sys.argv[1:]) diff --git a/gray_iso_layers.inx b/gray_iso_layers.inx index 91f392c..593707a 100644 --- a/gray_iso_layers.inx +++ b/gray_iso_layers.inx @@ -20,11 +20,19 @@ gui-text="Content of each board:"> - + + + + + true + true 1.0 @@ -45,17 +53,22 @@ 0 + gui-text="2. Depth model:"> 100 - + + + + images/depth_en.png @@ -97,7 +110,7 @@ The image is smoothed, then split into the requested number of gray levels with evenly spaced thresholds. Each level becomes one closed path that follows the edge of its flat area, like a contour line on a map. -Each gray level goes into its own layer, named Board no. 1, Board no. 2... from the back to the front, added above the image: as many new layers as gray levels. The boards are meant to be cut and stacked: board no. 1 covers the whole image and each following board is smaller and lies in front of the previous one, lightest (or darkest) in front. In each layer, the cut outline of the board is drawn in the cut color (red), and the outline of the next board is carried over in the marking color (black), to show where to glue it. With "Its own gray only", a board holds the flat area of its gray alone: the boards sit side by side without overlapping and carry no marking. Several selected images share the same layers. +Each gray level goes into its own layer, named Board no. 1, Board no. 2... from the back to the front, added above the image: as many new layers as gray levels. The boards are meant to be cut and stacked: board no. 1 covers the whole image and each following board is smaller and lies in front of the previous one, lightest (or darkest) in front. In each layer, the cut outline of the board is drawn in the cut color (red), and the outline of the next board is carried over in the marking color (black), to show where to glue it. With the board numbers, each piece of a board carries its own number in a frame, and each marked area carries, without a frame, the number of the board to glue there. With "Its own gray only", a board holds the flat area of its gray alone: the flat areas tile the image without overlapping and carry no marking. Several selected images share the same layers. With the boards side by side, each board is moved into its own cell of a grid to the right of the image, with its marking, so that every board can be seen and cut on its own. For a relief that follows the real volumes of a portrait rather than its light and shadows, raise the depth map share (Depth tab): at 100, the boards follow the volumes, and the fine details setting carves the eyes and the mouth into them. A depth map made elsewhere (8 or 16 bits) can also be imported and selected like any image, with a share of 0. In both cases, if most boards come out empty or the subject only gets a few of them, raise the level distribution. diff --git a/gray_iso_layers.py b/gray_iso_layers.py index 3517613..b43a586 100644 --- a/gray_iso_layers.py +++ b/gray_iso_layers.py @@ -13,6 +13,7 @@ La logique vit dans `gray_iso_layers_core`, sans dependance a inkex. import base64 import hashlib import io +import math import os import sys from urllib.parse import unquote, unquote_to_bytes, urlparse @@ -26,8 +27,9 @@ from inkex.localization import localize sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) from gray_iso_layers_core import ( # noqa: E402 - add_detail, blend_fields, gray_to_hex, guided_filter, iso_boards, lines_to_d, normalize, - parse_color, rings_to_d, scale_lines, scale_rings) + add_detail, blend_fields, board_labels, gray_to_hex, guided_filter, iso_boards, + lines_to_d, normalize, number_lines, parse_color, rings_to_d, scale_lines, + scale_rings) from gray_iso_layers_depth import DepthUnavailable, depth_field # noqa: E402 # Modes Pillow a plus de 8 bits par canal (carte de profondeur en 16 bits). @@ -54,7 +56,9 @@ class GrayIsoLayers(inkex.EffectExtension): pars.add_argument("--levels", type=int, default=16) pars.add_argument("--equalize", type=float, default=0.0) pars.add_argument("--shapes", default="light") + pars.add_argument("--layout", default="stack") pars.add_argument("--mark", type=inkex.Boolean, default=True) + pars.add_argument("--numbers", type=inkex.Boolean, default=True) pars.add_argument("--blur", type=float, default=1.0) pars.add_argument("--edges", type=inkex.Boolean, default=True) pars.add_argument("--resolution", type=int, default=800) @@ -136,10 +140,14 @@ class GrayIsoLayers(inkex.EffectExtension): left, top, width, height = self.image_box(image, cols, rows) scale_x, scale_y = width / (cols - 1.0), height / (rows - 1.0) box = (left, top, left + width, top + height) - matrix = image.composed_transform().matrix + base = image.composed_transform().matrix + shifts = self.board_shifts(base, box, len(boards)) above = image for number, (_level, gray, rings, mark) in enumerate(boards, 1): + (a, c, e), (b, d, f) = base + shift_x, shift_y = shifts[number - 1] + matrix = ((a, c, e + shift_x), (b, d, f + shift_y)) # Les planches sont numerotees du fond vers l'avant. Calque cree # meme si le niveau est vide : autant de calques que de niveaux. layer = self.board_layer(number, above) @@ -164,9 +172,51 @@ class GrayIsoLayers(inkex.EffectExtension): node.style = mark_style layer.add(node) + # Numeros a graver : celui de la planche, encadre, sur chacune de + # ses pieces, et celui de la planche suivante la ou elle se pose. + if opt.numbers and self.mark_style() is not None: + following = boards[number][2] if mark is not None else None + own, after = board_labels( + rings, following, number, cols, rows, + largest=0.03 * max(rows, cols), smallest=0.008 * max(rows, cols)) + parts = [number_lines(number, x, y, size, framed=True) + for x, y, size in own] + parts += [number_lines(number + 1, x, y, size) for x, y, size in after] + d = " ".join( + lines_to_d(scale_lines(part, scale_x, scale_y, left, top), + smooth=False, matrix=matrix) for part in parts) + if d: + node = inkex.PathElement() + node.label = _("Numbers") + node.set("d", d) + node.style = self.mark_style() + layer.add(node) + if not opt.keep_original: image.delete() + def board_shifts(self, matrix, box, count): + """Decalage (x, y) de chaque planche, en coordonnees du document. + + Planches superposees : aucun, chacune reste a la place de l'image. + Planches juxtaposees : elles sont rangees en grille a droite de + l'image, de gauche a droite puis de haut en bas, chacune dans une + case de la taille de l'image, pour etre vues et decoupees une a une. + """ + if self.options.layout != "side": + return [(0.0, 0.0)] * count + (a, c, e), (b, d, f) = matrix + x0, y0, x1, y1 = box + # Encombrement de l'image dans le document, meme tournee ou etiree. + corners = [(a * x + c * y + e, b * x + d * y + f) + for x, y in ((x0, y0), (x1, y0), (x1, y1), (x0, y1))] + width = max(x for x, _y in corners) - min(x for x, _y in corners) + height = max(y for _x, y in corners) - min(y for _x, y in corners) + gap = 0.05 * max(width, height) + columns = int(math.ceil(math.sqrt(count))) + return [((width + gap) * (1 + k % columns), (height + gap) * (k // columns)) + for k in range(count)] + def layer_style(self, gray): """Style d'une couche : remplissage selon le mode, trait facultatif.""" opt = self.options diff --git a/gray_iso_layers_core.py b/gray_iso_layers_core.py index 69f9bcf..dd03b17 100644 --- a/gray_iso_layers_core.py +++ b/gray_iso_layers_core.py @@ -677,6 +677,192 @@ def iso_layers(field, levels=16, blur=0.0, min_area=0.0, tolerance=0.0, equalize)] +# -------------------------------------------------------------------------- +# Numeros des planches +# +# Chaque piece d'une planche porte son numero, encadre, et chaque zone ou se +# pose la planche suivante porte le numero de celle-ci. Les numeros sont +# traces en segments droits, sans police : ils se gravent tels quels. +# -------------------------------------------------------------------------- + +# Segments d'un chiffre dans une case de 0.5 x 1 : a haut, b droite haut, +# c droite bas, d bas, e gauche bas, f gauche haut, g milieu. +_SEGMENTS = { + "a": ((0.0, 0.0), (0.5, 0.0)), "b": ((0.5, 0.0), (0.5, 0.5)), + "c": ((0.5, 0.5), (0.5, 1.0)), "d": ((0.0, 1.0), (0.5, 1.0)), + "e": ((0.0, 0.5), (0.0, 1.0)), "f": ((0.0, 0.0), (0.0, 0.5)), + "g": ((0.0, 0.5), (0.5, 0.5)), +} +_DIGITS = {"0": "abcdef", "1": "bc", "2": "abged", "3": "abgcd", "4": "fgbc", + "5": "afgcd", "6": "afgedc", "7": "abc", "8": "abcdefg", "9": "abcdfg"} +_DIGIT_STEP = 0.8 # pas d'un chiffre au suivant, en hauteurs de chiffre +_FRAME_MARGIN = 0.35 # marge du cadre autour du numero, idem + + +def number_size(number, height, framed=False): + """Largeur et hauteur du numero trace par `number_lines`.""" + count = len(str(int(number))) + width = height * (0.5 + _DIGIT_STEP * (count - 1)) + margin = 2 * _FRAME_MARGIN * height if framed else 0.0 + return width + margin, height + margin + + +def number_lines(number, x, y, height, framed=False): + """Trace du numero centre en (x, y), chiffres hauts de `height`. + + Renvoie une ligne `(closed, opened)` comme `contour_lines` : les segments + des chiffres en lignes ouvertes, et le cadre (`framed`) en boucle fermee. + """ + text = str(int(number)) + width, _height = number_size(number, height) + left, top = x - width / 2.0, y - height / 2.0 + opened = [] + for k, digit in enumerate(text): + origin = np.array([left + k * _DIGIT_STEP * height, top]) + for name in _DIGITS[digit]: + opened.append(origin + height * np.array(_SEGMENTS[name])) + closed = [] + if framed: + w, h = number_size(number, height, True) + closed.append(np.array([(x - w / 2, y - h / 2), (x + w / 2, y - h / 2), + (x + w / 2, y + h / 2), (x - w / 2, y + h / 2)])) + return closed, opened + + +def region_mask(rings, width, height, step): + """Grille de booleens : la region bornee par `rings` (regle pair-impair), + echantillonnee tous les `step` echantillons. Renvoie `(mask, xs, ys)`, + les abscisses et ordonnees des colonnes et des lignes de la grille.""" + xs = np.arange(step / 2.0, width - 1.0, step) + ys = np.arange(step / 2.0, height - 1.0, step) + mask = np.zeros((len(ys), len(xs)), dtype=bool) + rings = [np.asarray(ring, dtype=float) for ring in rings if len(ring) >= 3] + if not rings: + return mask, xs, ys + start = np.vstack(rings) + end = np.vstack([np.roll(ring, -1, axis=0) for ring in rings]) + x0, y0, x1, y1 = start[:, 0], start[:, 1], end[:, 0], end[:, 1] + for i, y in enumerate(ys): + crossing = (y0 <= y) != (y1 <= y) + if not crossing.any(): + continue + a, b = y0[crossing], y1[crossing] + at = x0[crossing] + (y - a) * (x1[crossing] - x0[crossing]) / (b - a) + mask[i] = np.searchsorted(np.sort(at), xs) % 2 == 1 + return mask, xs, ys + + +def mask_depth(mask): + """Pour chaque case du masque, sa distance au bord de la region, en + cases (1 sur le bord, 0 dehors) : nombre d'erosions qu'elle supporte.""" + depth = np.zeros(mask.shape, dtype=int) + current = np.pad(np.asarray(mask, dtype=bool), 1) + while current.any(): + depth += current[1:-1, 1:-1] + current[1:-1, 1:-1] = (current[1:-1, 1:-1] & current[:-2, 1:-1] + & current[2:, 1:-1] & current[1:-1, :-2] + & current[1:-1, 2:]) + return depth + + +def mask_components(mask): + """Parties d'un seul tenant du masque (voisinage par les cotes) : + tableau d'etiquettes, 0 hors du masque, puis 1, 2..., et leur nombre.""" + mask = np.asarray(mask, dtype=bool) + if not mask.any(): + return np.zeros(mask.shape, dtype=int), 0 + # Chaque case part avec un numero a elle, puis le plus grand numero se + # propage le long des lignes et des colonnes, dans les deux sens, jusqu'a + # ce que plus rien ne bouge : toute une partie finit avec le meme numero. + big = mask.size + 1 + labels = np.where(mask, np.arange(1, big, dtype=np.int64).reshape(mask.shape), 0) + while True: + before = labels + for axis in (1, 0): + for flip in (False, True): + view = np.flip(labels, axis) if flip else labels + inside = np.flip(mask, axis) if flip else mask + # Numero de troncon : le maximum cumule ne passe pas d'un + # troncon de cases au suivant. + run = np.cumsum(~inside, axis=axis) * big + view = np.where(inside, np.maximum.accumulate(view + run, axis=axis) - run, 0) + labels = np.flip(view, axis) if flip else view + if np.array_equal(labels, before): + break + _values, compact = np.unique(labels, return_inverse=True) + compact = compact.reshape(mask.shape) + if mask.all(): # pas de case a 0 : les etiquettes partent de 1 + compact = compact + 1 + return compact, int(compact.max()) + + +def _number_height(number, radius, largest, framed): + """Plus grande hauteur de chiffre, au plus `largest`, dont le numero + tient dans un disque de rayon `radius`.""" + width, height = number_size(number, 1.0, framed) + return min(largest, 2.0 * radius / float(np.hypot(width, height))) + + +def board_labels(rings, following, number, width, height, largest, smallest, + step=None): + """Emplacement des numeros a graver sur la planche `number`. + + `rings` est le contour de la planche, `following` celui de la planche + suivante de la pile (ou `None`). Renvoie `(own, next)`, deux listes de + `(x, y, hauteur des chiffres)` en echantillons : + - `next` : le numero de la planche suivante, au creux de chaque zone ou + elle se pose ; + - `own` : le numero de la planche, un par piece d'un seul tenant, a + encadrer. Il se place de preference sous la planche suivante, a l'ecart + du numero de celle-ci, pour etre cache une fois la pile collee ; sinon + sur la partie qui reste visible. + Les chiffres mesurent au plus `largest` ; une piece ou une zone trop + etroite pour des chiffres de `smallest` ne recoit pas de numero. + """ + if step is None: + step = max(1.0, max(width, height) / 200.0) + region, xs, ys = region_mask(rings, width, height, step) + taken = np.zeros(region.shape, dtype=bool) + grid_y, grid_x = np.indices(region.shape) + + def spots(mask, shown, framed): + """Un numero par partie de `mask`, au plus profond de celle-ci.""" + found = [] + depth = mask_depth(mask) + labels, count = mask_components(mask) + for label in range(1, count + 1): + reach = np.where(labels == label, depth, 0) + i, j = np.unravel_index(int(np.argmax(reach)), reach.shape) + size = _number_height(shown, (reach[i, j] - 0.5) * step, largest, framed) + if size < smallest: + continue + found.append((float(xs[j]), float(ys[i]), size, label)) + box = number_size(shown, size, framed) + radius = 0.6 * float(np.hypot(*box)) / step + 1.0 + taken[(grid_x - j) ** 2 + (grid_y - i) ** 2 <= radius ** 2] = True + return found, labels + + covered = np.zeros(region.shape, dtype=bool) + after = [] + if following: + covered = region_mask(following, width, height, step)[0] + after = [spot[:3] for spot in spots(covered, number + 1, False)[0]] + + pieces, _count = mask_components(region) + own, done = [], set() + # D'abord sous la planche suivante (numero cache), puis a decouvert. + for mask in (region & covered & ~taken, region & ~covered & ~taken): + found, _labels = spots(mask, number, True) + for x, y, size, _label in sorted(found, key=lambda spot: -spot[2]): + j = int(np.argmin(np.abs(xs - x))) + i = int(np.argmin(np.abs(ys - y))) + piece = pieces[i, j] + if piece and piece not in done: + done.add(piece) + own.append((x, y, size)) + return own, after + + def image_ring(width, height): """Anneau du rectangle 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