diff --git a/include/libcamera/geometry.h b/include/libcamera/geometry.h
index 80f79c6ba2d3..3dbbced5c76f 100644
--- a/include/libcamera/geometry.h
+++ b/include/libcamera/geometry.h
@@ -21,6 +21,12 @@ struct Rectangle {
 	const std::string toString() const;
 };
 
+bool operator==(const Rectangle &lhs, const Rectangle &rhs);
+static inline bool operator!=(const Rectangle &lhs, const Rectangle &rhs)
+{
+	return !(lhs == rhs);
+}
+
 struct Size {
 	Size()
 		: Size(0, 0)
@@ -36,6 +42,29 @@ struct Size {
 	unsigned int height;
 };
 
+bool operator==(const Size &lhs, const Size &rhs);
+bool operator<(const Size &lhs, const Size &rhs);
+
+static inline bool operator!=(const Size &lhs, const Size &rhs)
+{
+	return !(lhs == rhs);
+}
+
+static inline bool operator<=(const Size &lhs, const Size &rhs)
+{
+	return lhs < rhs || lhs == rhs;
+}
+
+static inline bool operator>(const Size &lhs, const Size &rhs)
+{
+	return !(lhs <= rhs);
+}
+
+static inline bool operator>=(const Size &lhs, const Size &rhs)
+{
+	return !(lhs < rhs);
+}
+
 struct SizeRange {
 	SizeRange()
 	{
@@ -51,6 +80,12 @@ struct SizeRange {
 	Size max;
 };
 
+bool operator==(const SizeRange &lhs, const SizeRange &rhs);
+static inline bool operator!=(const SizeRange &lhs, const SizeRange &rhs)
+{
+	return !(lhs == rhs);
+}
+
 } /* namespace libcamera */
 
 #endif /* __LIBCAMERA_GEOMETRY_H__ */
diff --git a/src/libcamera/geometry.cpp b/src/libcamera/geometry.cpp
index c1c7daed7259..d14c925aaad2 100644
--- a/src/libcamera/geometry.cpp
+++ b/src/libcamera/geometry.cpp
@@ -6,6 +6,7 @@
  */
 
 #include <sstream>
+#include <stdint.h>
 
 #include <libcamera/geometry.h>
 
@@ -62,6 +63,22 @@ const std::string Rectangle::toString() const
 	return ss.str();
 }
 
+/**
+ * \brief Compare rectangles for equality
+ * \return True if the two rectangles are equal, false otherwise
+ */
+bool operator==(const Rectangle &lhs, const Rectangle &rhs)
+{
+	return lhs.x == rhs.x && lhs.y == rhs.y &&
+	       lhs.w == rhs.w && lhs.h == rhs.h;
+}
+
+/**
+ * \fn bool operator!=(const Rectangle &lhs, const Rectangle &rhs)
+ * \brief Compare rectangles for inequality
+ * \return True if the two rectangles are not equal, false otherwise
+ */
+
 /**
  * \struct Size
  * \brief Describe a two-dimensional size
@@ -91,6 +108,72 @@ const std::string Rectangle::toString() const
  * \brief The Size height
  */
 
+/**
+ * \brief Compare sizes for equality
+ * \return True if the two sizes are equal, false otherwise
+ */
+bool operator==(const Size &lhs, const Size &rhs)
+{
+	return lhs.width == rhs.width && lhs.height == rhs.height;
+}
+
+/**
+ * \brief Compare sizes for smaller than order
+ *
+ * Sizes are compared on three criteria, in the following order.
+ *
+ * - A size with smaller width and smaller height is smaller.
+ * - A size with smaller area is smaller.
+ * - A size with smaller width is smaller.
+ *
+ * \return True if \a lhs is smaller than \a rhs, false otherwise
+ */
+bool operator<(const Size &lhs, const Size &rhs)
+{
+	if (lhs.width < rhs.width && lhs.height < rhs.height)
+		return true;
+	else if (lhs.width >= rhs.width && lhs.height >= rhs.height)
+		return false;
+
+	uint64_t larea = static_cast<uint64_t>(lhs.width) *
+			 static_cast<uint64_t>(lhs.height);
+	uint64_t rarea = static_cast<uint64_t>(rhs.width) *
+			 static_cast<uint64_t>(rhs.height);
+	if (larea < rarea)
+		return true;
+	else if (larea > rarea)
+		return false;
+
+	return lhs.width < rhs.width;
+}
+
+/**
+ * \fn bool operator!=(const Size &lhs, const Size &rhs)
+ * \brief Compare sizes for inequality
+ * \return True if the two sizes are not equal, false otherwise
+ */
+
+/**
+ * \fn bool operator<=(const Size &lhs, const Size &rhs)
+ * \brief Compare sizes for smaller than or equal to order
+ * \return True if \a lhs is smaller than or equal to \a rhs, false otherwise
+ * \sa bool operator<(const Size &lhs, const Size &rhs)
+ */
+
+/**
+ * \fn bool operator>(const Size &lhs, const Size &rhs)
+ * \brief Compare sizes for greater than order
+ * \return True if \a lhs is greater than \a rhs, false otherwise
+ * \sa bool operator<(const Size &lhs, const Size &rhs)
+ */
+
+/**
+ * \fn bool operator>=(const Size &lhs, const Size &rhs)
+ * \brief Compare sizes for greater than or equal to order
+ * \return True if \a lhs is greater than or equal to \a rhs, false otherwise
+ * \sa bool operator<(const Size &lhs, const Size &rhs)
+ */
+
 /**
  * \struct SizeRange
  * \brief Describe a range of sizes
@@ -124,4 +207,19 @@ const std::string Rectangle::toString() const
  * \brief The maximum size
  */
 
+/**
+ * \brief Compare size ranges for equality
+ * \return True if the two size ranges are equal, false otherwise
+ */
+bool operator==(const SizeRange &lhs, const SizeRange &rhs)
+{
+	return lhs.min == rhs.min && lhs.max == rhs.max;
+}
+
+/**
+ * \fn bool operator!=(const SizeRange &lhs, const SizeRange &rhs)
+ * \brief Compare size ranges for inequality
+ * \return True if the two size ranges are not equal, false otherwise
+ */
+
 } /* namespace libcamera */