diff --git a/app/core/config.py b/app/core/config.py
index e014cef..0f9d13a 100644
--- a/app/core/config.py
+++ b/app/core/config.py
@@ -50,9 +50,7 @@ class Settings(BaseSettings):
     max_tokens: int = 4096
 
     # Model Paths
-    pp_doclayout_model_dir: str | None = (
-        "/home/yoge/.cache/modelscope/hub/models/PaddlePaddle/PP-DocLayoutV3"
-    )
+    pp_doclayout_model_dir: str | None = "/home/yoge/.cache/modelscope/hub/models/PaddlePaddle/PP-DocLayoutV3"
 
     # Image Processing
     max_image_size_mb: int = 10
diff --git a/app/services/glm_postprocess.py b/app/services/glm_postprocess.py
index 80d0d7e..79beafb 100644
--- a/app/services/glm_postprocess.py
+++ b/app/services/glm_postprocess.py
@@ -265,7 +265,7 @@ class GLMResultFormatter:
         # Formula wrapping
         if label == "formula":
             content = content.strip()
-            for s, e in [("$$", "$$"), (r"\[", r"\]"), (r"\(", r"\)")]:
+            for s, e in [("$$", "$$"), (r"\[", r"\]"), (r"\(", r"\)"), ("$", "$")]:
                 if content.startswith(s):
                     content = content[len(s) :].strip()
                     if content.endswith(e):
diff --git a/app/services/ocr_service.py b/app/services/ocr_service.py
index 7b063bf..d4a678c 100644
--- a/app/services/ocr_service.py
+++ b/app/services/ocr_service.py
@@ -781,11 +781,11 @@ class MineruOCRService(OCRServiceBase):
 
 # Task-specific prompts (from GLM-OCR SDK config.yaml)
 _TASK_PROMPTS: dict[str, str] = {
-    "text": "Text Recognition. If the content is a formula, please ouput display latex code, else output text",
+    "text": "Text Recognition. If the content is a formula, please output display latex code, else output text",
     "formula": "Formula Recognition:",
     "table": "Table Recognition:",
 }
-_DEFAULT_PROMPT = "Text Recognition. If the content is a formula, please ouput display latex code, else output text"
+_DEFAULT_PROMPT = "Text Recognition. If the content is a formula, please output display latex code, else output text"
 
 
 class GLMOCREndToEndService(OCRServiceBase):
@@ -868,7 +868,8 @@ class GLMOCREndToEndService(OCRServiceBase):
         """
         # 1. Layout detection
         img_h, img_w = image.shape[:2]
-        layout_info = self.layout_detector.detect(image)
+        padded_image = self.image_processor.add_padding(image)
+        layout_info = self.layout_detector.detect(padded_image)
 
         # Sort regions in reading order: top-to-bottom, left-to-right
         layout_info.regions.sort(key=lambda r: (r.bbox[1], r.bbox[0]))
@@ -890,7 +891,7 @@ class GLMOCREndToEndService(OCRServiceBase):
                 if region.type == "figure":
                     continue
                 x1, y1, x2, y2 = (int(c) for c in region.bbox)
-                cropped = image[y1:y2, x1:x2]
+                cropped = padded_image[y1:y2, x1:x2]
                 if cropped.size == 0 or cropped.shape[0] < 10 or cropped.shape[1] < 10:
                     logger.warning(
                         "Skipping region idx=%d (label=%s): crop too small %s",