diff --git a/cmake/OpenCVCompilerOptions.cmake b/cmake/OpenCVCompilerOptions.cmake
index c433d988fd..0c638c482d 100644
--- a/cmake/OpenCVCompilerOptions.cmake
+++ b/cmake/OpenCVCompilerOptions.cmake
@@ -101,6 +101,10 @@ if(MINGW)
   endif()
 endif()
 
+if(CV_ICC AND NOT ENABLE_FAST_MATH)
+  add_extra_compiler_option("-fp-model precise")
+endif()
+
 if(CMAKE_COMPILER_IS_GNUCXX)
   # High level of warnings.
   add_extra_compiler_option(-W)
@@ -432,6 +436,13 @@ if(MSVC)
     ocv_warnings_disable(CMAKE_CXX_FLAGS /wd4275) # non dll-interface class 'std::exception' used as base for dll-interface class 'cv::Exception'
     ocv_warnings_disable(CMAKE_CXX_FLAGS /wd4589) # Constructor of abstract class 'cv::ORB' ignores initializer for virtual base class 'cv::Algorithm'
   endif()
+
+  if(CV_ICC AND NOT ENABLE_NOISY_WARNINGS)
+    foreach(flags CMAKE_CXX_FLAGS CMAKE_CXX_FLAGS_RELEASE CMAKE_CXX_FLAGS_DEBUG CMAKE_C_FLAGS CMAKE_C_FLAGS_RELEASE CMAKE_C_FLAGS_DEBUG)
+      string(REGEX REPLACE "( |^)/W[0-9]+( |$)" "\\1\\2" ${flags} "${${flags}}")
+    endforeach()
+    set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /Qwd673") # PCH warning
+  endif()
 endif()
 
 if(APPLE AND NOT CMAKE_CROSSCOMPILING AND NOT DEFINED ENV{LDFLAGS} AND EXISTS "/usr/local/lib")
diff --git a/cmake/OpenCVUtils.cmake b/cmake/OpenCVUtils.cmake
index 1d779d6775..9bde08e85e 100644
--- a/cmake/OpenCVUtils.cmake
+++ b/cmake/OpenCVUtils.cmake
@@ -302,6 +302,7 @@ macro(ocv_warnings_disable)
     set(_flag_vars "")
     set(_msvc_warnings "")
     set(_gxx_warnings "")
+    set(_icc_warnings "")
     foreach(arg ${ARGN})
       if(arg MATCHES "^CMAKE_")
         list(APPEND _flag_vars ${arg})
@@ -309,6 +310,8 @@ macro(ocv_warnings_disable)
         list(APPEND _msvc_warnings ${arg})
       elseif(arg MATCHES "^-W")
         list(APPEND _gxx_warnings ${arg})
+      elseif(arg MATCHES "^-wd" OR arg MATCHES "^-Qwd" OR arg MATCHES "^/Qwd")
+        list(APPEND _icc_warnings ${arg})
       endif()
     endforeach()
     if(MSVC AND _msvc_warnings AND _flag_vars)
@@ -331,9 +334,25 @@ macro(ocv_warnings_disable)
         endforeach()
       endforeach()
     endif()
+    if(CV_ICC AND _icc_warnings AND _flag_vars)
+      foreach(var ${_flag_vars})
+        foreach(warning ${_icc_warnings})
+          if(UNIX)
+            string(REPLACE "-Qwd" "-wd" warning "${warning}")
+          else()
+            string(REPLACE "-wd" "-Qwd" warning "${warning}")
+          endif()
+          ocv_check_flag_support(${var} "${warning}" _varname)
+          if(${_varname})
+            set(${var} "${${var}} ${warning}")
+          endif()
+        endforeach()
+      endforeach()
+    endif()
     unset(_flag_vars)
     unset(_msvc_warnings)
     unset(_gxx_warnings)
+    unset(_icc_warnings)
   endif(NOT ENABLE_NOISY_WARNINGS)
 endmacro()
 
diff --git a/modules/core/test/test_arithm.cpp b/modules/core/test/test_arithm.cpp
index 0781fd1a3f..a23cee91dd 100644
--- a/modules/core/test/test_arithm.cpp
+++ b/modules/core/test/test_arithm.cpp
@@ -1,9 +1,5 @@
 #include "test_precomp.hpp"
 #include <cmath>
-#ifndef NAN
-#include <limits> // numeric_limits<T>::quiet_NaN()
-#define NAN std::numeric_limits<float>::quiet_NaN()
-#endif
 
 using namespace cv;
 using namespace std;
@@ -1895,7 +1891,7 @@ TEST(MinMaxLoc, regression_4955_nans)
     cv::Mat one_mat(2, 2, CV_32F, cv::Scalar(1));
     cv::minMaxLoc(one_mat, NULL, NULL, NULL, NULL);
 
-    cv::Mat nan_mat(2, 2, CV_32F, cv::Scalar(NAN));
+    cv::Mat nan_mat(2, 2, CV_32F, cv::Scalar(std::numeric_limits<float>::quiet_NaN()));
     cv::minMaxLoc(nan_mat, NULL, NULL, NULL, NULL);
 }
 
diff --git a/modules/objdetect/test/test_cascadeandhog.cpp b/modules/objdetect/test/test_cascadeandhog.cpp
index 1c844da88b..806ce1f231 100644
--- a/modules/objdetect/test/test_cascadeandhog.cpp
+++ b/modules/objdetect/test/test_cascadeandhog.cpp
@@ -1087,7 +1087,7 @@ void HOGDescriptorTester::detect(const Mat& img,
     }
 
     const double eps = FLT_EPSILON * 100;
-    double diff_norm = cvtest::norm(actual_weights, weights, NORM_L2);
+    double diff_norm = cvtest::norm(actual_weights, weights, NORM_L2 + NORM_RELATIVE);
     if (diff_norm > eps)
     {
         ts->printf(cvtest::TS::SUMMARY, "Weights for found locations aren't equal.\n"
@@ -1167,7 +1167,7 @@ void HOGDescriptorTester::compute(InputArray _img, vector<float>& descriptors,
     std::vector<float> actual_descriptors;
     actual_hog->compute(img, actual_descriptors, winStride, padding, locations);
 
-    double diff_norm = cvtest::norm(actual_descriptors, descriptors, NORM_L2);
+    double diff_norm = cvtest::norm(actual_descriptors, descriptors, NORM_L2 + NORM_RELATIVE);
     const double eps = FLT_EPSILON * 100;
     if (diff_norm > eps)
     {
@@ -1316,7 +1316,7 @@ void HOGDescriptorTester::computeGradient(const Mat& img, Mat& grad, Mat& qangle
     const double eps = FLT_EPSILON * 100;
     for (i = 0; i < 2; ++i)
     {
-       double diff_norm = cvtest::norm(reference_mats[i], actual_mats[i], NORM_L2);
+       double diff_norm = cvtest::norm(actual_mats[i], reference_mats[i], NORM_L2 + NORM_RELATIVE);
        if (diff_norm > eps)
        {
            ts->printf(cvtest::TS::LOG, "%s matrices are not equal\n"