diff --git a/md4tj_parse.el b/md4tj_parse.el
index 28f4d30..50e8c4e 100644
--- a/md4tj_parse.el
+++ b/md4tj_parse.el
@@ -37,11 +37,11 @@
   "Process all inline elements of the LINE, return HTML."
   ;; Finally links
   (replace-regexp-in-string
-   "\\[\\(.*\\)\\](\\(.*\\))"
+   "\\[\\([^\\[]*\\)](\\([^\\[]*\\))"
    (concat (md4tj-begin-tag "a" (list '("href" "\\2"))) "\\1" (md4tj-end-tag "a"))
    ;; Then images
    (replace-regexp-in-string
-	"!\\[\\(.*\\)\\](\\(.*\\))"
+	"!\\[\\([^\\[]*\\)](\\([^\\[]*\\))"
 	(md4tj-begin-tag "img" (list '("src" "\\2") '("alt" "\\1")))
 	;; Then emphasis
 	(replace-regexp-in-string