Update Doxygen Settings

misc/Doxyfile

@@ -378,7 +378,7 @@ TOC_INCLUDE_HEADINGS   = 5
 # The default value is: DOXYGEN.
 # This tag requires that the tag MARKDOWN_SUPPORT is set to YES.
 
-MARKDOWN_ID_STYLE      = DOXYGEN
+MARKDOWN_ID_STYLE      = GITHUB
 
 # When enabled Doxygen tries to link words that correspond to documented
 # classes, or namespaces to their corresponding documentation. Such a link can
@@ -1087,7 +1087,7 @@ EXCLUDE_PATTERNS       = *_autogen \
                          docs \
                          */doxygen-awesome-css/* \
                          CMakeFiles \
-                         doxygen-1.9.*
+                         doxygen-1.12.*
 
 # The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names
 # (namespaces, classes, functions, etc.) that should be excluded from the
@@ -1147,7 +1147,7 @@ IMAGE_PATH             =
 # need to set EXTENSION_MAPPING for the extension otherwise the files are not
 # properly processed by Doxygen.
 
-INPUT_FILTER           =
+INPUT_FILTER           = sed -E 's/ \$/ \\f\$/g;s/([^f\$])\$/\1\\f\$/g'
 
 # The FILTER_PATTERNS tag can be used to specify filters on a per file pattern
 # basis. Doxygen will compare the file name with each pattern and apply the