Rewite polar transforms (#11323)

* Rewrite polar transformations

- A new wrapPolar function encapsulate both linear and semi-log remap
- Destination size is a parameter or calculated automatically to keep objects size between remapping
- linearPolar and logPolar has been deprecated

* Fix build warning and error in accuracy test

* Fix function name to warpPolar

* Explicitly specify the mapping mode, so we retain all the parameters as non-optional.

Introduces WarpPolarMode enum to specify the mapping mode in flags

* resolves performance warning on windows build

* removed duplicated logPolar and linearPolar implementations

diff --git a/modules/imgproc/doc/pics/polar_remap_doc.png b/modules/imgproc/doc/pics/polar_remap_doc.png
index e3e4105..b0b8431 100644 (file)
Binary files a/modules/imgproc/doc/pics/polar_remap_doc.png and b/modules/imgproc/doc/pics/polar_remap_doc.png differ

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+         x="2081.5286"
+         y="752.77039"
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+         y="774.43707"
+         style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:17.33333397px;line-height:1.25;font-family:serif;-inkscape-font-specification:'serif Italic';text-align:start;text-anchor:start;fill:#000000;stroke:none"
+         id="tspan5774">Klog = dsize.width / log<tspan
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+       style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0%;font-family:serif;-inkscape-font-specification:'serif Italic';text-align:center;letter-spacing:0px;word-spacing:0px;text-anchor:middle;display:inline;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
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-         x="1177.0618"
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+         x="1469.0718"
+         y="1592.7539"
+         style="font-size:20px;line-height:1.25">c) <tspan
+   style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:Consolas;-inkscape-font-specification:Consolas"
+   id="tspan5036">linearPolar()</tspan> Deprecated</tspan></text>
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+       style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;line-height:0%;font-family:serif;-inkscape-font-specification:'serif Italic';text-align:center;letter-spacing:0px;word-spacing:0px;text-anchor:middle;display:inline;fill:#0000ff;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
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-         x="1836.0618"
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+         x="1930.574"
+         y="992.42224"
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+   id="tspan5028">semiLog=true</tspan></tspan></text>
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-       d="m 1929.4254,566.70008 c 26.9994,-6.04182 8.1996,54.30051 31.863,57.92501"
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+       style="font-style:normal;font-weight:normal;font-size:17.5px;line-height:0%;font-family:sans-serif;text-align:end;letter-spacing:0px;word-spacing:0px;text-anchor:end;display:inline;fill:#ffff00;fill-opacity:1;stroke:none;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
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+         style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:15px;line-height:1.25;font-family:serif;-inkscape-font-specification:'serif Italic';fill:#0000ff;fill-opacity:1">A(ρ<tspan
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+         y="1320.291"
+         style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:17.5px;line-height:1.25;font-family:serif;-inkscape-font-specification:'serif Italic';text-align:start;text-anchor:start">Kx = src.cols / maxRadius</tspan><tspan
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-         id="tspan9683">Ky = src.rows / 360.0</tspan></text>
+         x="1264.3926"
+         y="1342.166"
+         style="font-style:italic;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:17.5px;line-height:1.25;font-family:serif;-inkscape-font-specification:'serif Italic';text-align:start;text-anchor:start"
+         id="tspan9683">Ky = src.rows / 2PI</tspan></text>
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-         y="-200.08264">b) Params References</tspan></text>
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+         style="font-size:20px;line-height:1.25">b) Params References</tspan></text>
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             <dc:title>OpenCV</dc:title>
           </cc:Agent>
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diff --git a/modules/imgproc/include/opencv2/imgproc.hpp b/modules/imgproc/include/opencv2/imgproc.hpp
index b93a10c..ab46838 100644 (file)
--- a/modules/imgproc/include/opencv2/imgproc.hpp
+++ b/modules/imgproc/include/opencv2/imgproc.hpp
@@ -295,6 +295,15 @@ enum InterpolationFlags{
     WARP_INVERSE_MAP     = 16
 };
 
+/** \brief Specify the polar mapping mode
+@sa warpPolar
+*/
+enum WarpPolarMode
+{
+    WARP_POLAR_LINEAR = 0, ///< Remaps an image to/from polar space.
+    WARP_POLAR_LOG = 256   ///< Remaps an image to/from semilog-polar space.
+};
+
 enum InterpolationMasks {
        INTER_BITS      = 5,
        INTER_BITS2     = INTER_BITS * 2,
@@ -2546,7 +2555,10 @@ An example using the cv::linearPolar and cv::logPolar operations
 
 /** @brief Remaps an image to semilog-polar coordinates space.
 
-Transform the source image using the following transformation (See @ref polar_remaps_reference_image "Polar remaps reference image"):
+@deprecated This function produces same result as cv::warpPolar(src, dst, src.size(), center, maxRadius, flags+WARP_POLAR_LOG);
+
+@internal
+Transform the source image using the following transformation (See @ref polar_remaps_reference_image "Polar remaps reference image d)"):
 \f[\begin{array}{l}
   dst( \rho , \phi ) = src(x,y) \\
   dst.size() \leftarrow src.size()
@@ -2556,13 +2568,13 @@ where
 \f[\begin{array}{l}
   I = (dx,dy) = (x - center.x,y - center.y) \\
   \rho = M \cdot log_e(\texttt{magnitude} (I)) ,\\
-  \phi = Ky \cdot \texttt{angle} (I)_{0..360 deg} \\
+  \phi = Kangle \cdot \texttt{angle} (I) \\
 \end{array}\f]
 
 and
 \f[\begin{array}{l}
   M = src.cols / log_e(maxRadius) \\
-  Ky = src.rows / 360 \\
+  Kangle = src.rows / 2\Pi \\
 \end{array}\f]
 
 The function emulates the human "foveal" vision and can be used for fast scale and
@@ -2576,16 +2588,19 @@ rotation-invariant template matching, for object tracking and so forth.
 @note
 -   The function can not operate in-place.
 -   To calculate magnitude and angle in degrees #cartToPolar is used internally thus angles are measured from 0 to 360 with accuracy about 0.3 degrees.
+
+@sa cv::linearPolar
+@endinternal
 */
 CV_EXPORTS_W void logPolar( InputArray src, OutputArray dst,
                             Point2f center, double M, int flags );
 
 /** @brief Remaps an image to polar coordinates space.
 
-@anchor polar_remaps_reference_image
-![Polar remaps reference](pics/polar_remap_doc.png)
+@deprecated This function produces same result as cv::warpPolar(src, dst, src.size(), center, maxRadius, flags)
 
-Transform the source image using the following transformation:
+@internal
+Transform the source image using the following transformation (See @ref polar_remaps_reference_image "Polar remaps reference image c)"):
 \f[\begin{array}{l}
   dst( \rho , \phi ) = src(x,y) \\
   dst.size() \leftarrow src.size()
@@ -2594,14 +2609,14 @@ Transform the source image using the following transformation:
 where
 \f[\begin{array}{l}
   I = (dx,dy) = (x - center.x,y - center.y) \\
-  \rho = Kx \cdot \texttt{magnitude} (I) ,\\
-  \phi = Ky \cdot \texttt{angle} (I)_{0..360 deg}
+  \rho = Kmag \cdot \texttt{magnitude} (I) ,\\
+  \phi = angle \cdot \texttt{angle} (I)
 \end{array}\f]
 
 and
 \f[\begin{array}{l}
   Kx = src.cols / maxRadius \\
-  Ky = src.rows / 360
+  Ky = src.rows / 2\Pi
 \end{array}\f]
 
 
@@ -2615,10 +2630,104 @@ and
 -   The function can not operate in-place.
 -   To calculate magnitude and angle in degrees #cartToPolar is used internally thus angles are measured from 0 to 360 with accuracy about 0.3 degrees.
 
+@sa cv::logPolar
+@endinternal
 */
 CV_EXPORTS_W void linearPolar( InputArray src, OutputArray dst,
                                Point2f center, double maxRadius, int flags );
 
+
+/** \brief Remaps an image to polar or semilog-polar coordinates space
+
+@anchor polar_remaps_reference_image
+![Polar remaps reference](pics/polar_remap_doc.png)
+
+Transform the source image using the following transformation:
+\f[
+dst(\rho , \phi ) = src(x,y)
+\f]
+
+where
+\f[
+\begin{array}{l}
+\vec{I} = (x - center.x, \;y - center.y) \\
+\phi = Kangle \cdot \texttt{angle} (\vec{I}) \\
+\rho = \left\{\begin{matrix}
+Klin \cdot \texttt{magnitude} (\vec{I}) & default \\
+Klog \cdot log_e(\texttt{magnitude} (\vec{I})) & if \; semilog \\
+\end{matrix}\right.
+\end{array}
+\f]
+
+and
+\f[
+\begin{array}{l}
+Kangle = dsize.height / 2\Pi \\
+Klin = dsize.width / maxRadius \\
+Klog = dsize.width / log_e(maxRadius) \\
+\end{array}
+\f]
+
+
+\par Linear vs semilog mapping
+
+Polar mapping can be linear or semi-log. Add one of #WarpPolarMode to `flags` to specify the polar mapping mode.
+
+Linear is the default mode.
+
+The semilog mapping emulates the human "foveal" vision that permit very high acuity on the line of sight (central vision)
+in contrast to peripheral vision where acuity is minor.
+
+\par Option on `dsize`:
+
+- if both values in `dsize <=0 ` (default),
+the destination image will have (almost) same area of source bounding circle:
+\f[\begin{array}{l}
+dsize.area  \leftarrow (maxRadius^2 \cdot \Pi) \\
+dsize.width = \texttt{cvRound}(maxRadius) \\
+dsize.height = \texttt{cvRound}(maxRadius \cdot \Pi) \\
+\end{array}\f]
+
+
+- if only `dsize.height <= 0`,
+the destination image area will be proportional to the bounding circle area but scaled by `Kx * Kx`:
+\f[\begin{array}{l}
+dsize.height = \texttt{cvRound}(dsize.width \cdot \Pi) \\
+\end{array}
+\f]
+
+- if both values in `dsize > 0 `,
+the destination image will have the given size therefore the area of the bounding circle will be scaled to `dsize`.
+
+
+\par Reverse mapping
+
+You can get reverse mapping adding #WARP_INVERSE_MAP to `flags`
+\snippet polar_transforms.cpp InverseMap
+
+In addiction, to calculate the original coordinate from a polar mapped coordinate \f$(rho, phi)->(x, y)\f$:
+\snippet polar_transforms.cpp InverseCoordinate
+
+@param src Source image.
+@param dst Destination image. It will have same type as src.
+@param dsize The destination image size (see description for valid options).
+@param center The transformation center.
+@param maxRadius The radius of the bounding circle to transform. It determines the inverse magnitude scale parameter too.
+@param flags A combination of interpolation methods, #InterpolationFlags + #WarpPolarMode.
+            - Add #WARP_POLAR_LINEAR to select linear polar mapping (default)
+            - Add #WARP_POLAR_LOG to select semilog polar mapping
+            - Add #WARP_INVERSE_MAP for reverse mapping.
+@note
+-  The function can not operate in-place.
+-  To calculate magnitude and angle in degrees #cartToPolar is used internally thus angles are measured from 0 to 360 with accuracy about 0.3 degrees.
+-  This function uses #remap. Due to current implementation limitations the size of an input and output images should be less than 32767x32767.
+
+@sa cv::remap
+*/
+CV_EXPORTS_W void warpPolar(InputArray src, OutputArray dst, Size dsize,
+                            Point2f center, double maxRadius, int flags);
+
+
 //! @} imgproc_transform
 
 //! @addtogroup imgproc_misc

diff --git a/modules/imgproc/include/opencv2/imgproc/imgproc_c.h b/modules/imgproc/include/opencv2/imgproc/imgproc_c.h
index fadb882..78032b7 100644 (file)
--- a/modules/imgproc/include/opencv2/imgproc/imgproc_c.h
+++ b/modules/imgproc/include/opencv2/imgproc/imgproc_c.h
@@ -260,14 +260,14 @@ CVAPI(void)  cvConvertMaps( const CvArr* mapx, const CvArr* mapy,
                             CvArr* mapxy, CvArr* mapalpha );
 
 /** @brief Performs forward or inverse log-polar image transform
-@see cv::logPolar
+@see cv::warpPolar
 */
 CVAPI(void)  cvLogPolar( const CvArr* src, CvArr* dst,
                          CvPoint2D32f center, double M,
                          int flags CV_DEFAULT(CV_INTER_LINEAR+CV_WARP_FILL_OUTLIERS));
 
 /** Performs forward or inverse linear-polar image transform
-@see cv::linearPolar
+@see cv::warpPolar
 */
 CVAPI(void)  cvLinearPolar( const CvArr* src, CvArr* dst,
                          CvPoint2D32f center, double maxRadius,

diff --git a/modules/imgproc/perf/opencl/perf_imgwarp.cpp b/modules/imgproc/perf/opencl/perf_imgwarp.cpp
index 44fb84d..d13b54b 100644 (file)
--- a/modules/imgproc/perf/opencl/perf_imgwarp.cpp
+++ b/modules/imgproc/perf/opencl/perf_imgwarp.cpp
@@ -204,7 +204,7 @@ OCL_PERF_TEST_P(RemapFixture, Remap,
     const RemapParams params = GetParam();
     const Size srcSize = get<0>(params);
     const int type = get<1>(params), interpolation = get<2>(params), borderMode = BORDER_CONSTANT;
-    const double eps = CV_MAT_DEPTH(type) <= CV_32S ? 1 : 1e-4;
+    //const double eps = CV_MAT_DEPTH(type) <= CV_32S ? 1 : 1e-4;
 
     checkDeviceMaxMemoryAllocSize(srcSize, type);
 

diff --git a/modules/imgproc/src/imgwarp.cpp b/modules/imgproc/src/imgwarp.cpp
index 58ae385..adc201a 100644 (file)
--- a/modules/imgproc/src/imgwarp.cpp
+++ b/modules/imgproc/src/imgwarp.cpp
@@ -1377,6 +1377,10 @@ static bool ocl_remap(InputArray _src, OutputArray _dst, InputArray _map1, Input
     return k.run(2, globalThreads, NULL, false);
 }
 
+#if 0
+/**
+@deprecated with old version of cv::linearPolar
+*/
 static bool ocl_linearPolar(InputArray _src, OutputArray _dst,
     Point2f center, double maxRadius, int flags)
 {
@@ -1517,6 +1521,8 @@ static bool ocl_logPolar(InputArray _src, OutputArray _dst,
 }
 #endif
 
+#endif
+
 #ifdef HAVE_OPENVX
 static bool openvx_remap(Mat src, Mat dst, Mat map1, Mat map2, int interpolation, const Scalar& borderValue)
 {
@@ -3252,191 +3258,86 @@ cvConvertMaps( const CvArr* arr1, const CvArr* arr2, CvArr* dstarr1, CvArr* dsta
     cv::convertMaps( map1, map2, dstmap1, dstmap2, dstmap1.type(), false );
 }
 
-/****************************************************************************************\
-*                                   Log-Polar Transform                                  *
-\****************************************************************************************/
-
-/* now it is done via Remap; more correct implementation should use
-   some super-sampling technique outside of the "fovea" circle */
-CV_IMPL void
-cvLogPolar( const CvArr* srcarr, CvArr* dstarr,
-            CvPoint2D32f center, double M, int flags )
+/****************************************************************************************
+PkLab.net 2018 based on cv::linearPolar from OpenCV by J.L. Blanco, Apr 2009
+****************************************************************************************/
+void cv::warpPolar(InputArray _src, OutputArray _dst, Size dsize,
+                   Point2f center, double maxRadius, int flags)
 {
-    Mat src_with_border; // don't scope this variable (it holds image data)
-
-    cv::Ptr<CvMat> mapx, mapy;
-
-    CvMat srcstub, *src = cvGetMat(srcarr, &srcstub);
-    CvMat dststub, *dst = cvGetMat(dstarr, &dststub);
-    CvSize dsize;
-
-    if( !CV_ARE_TYPES_EQ( src, dst ))
-        CV_Error( CV_StsUnmatchedFormats, "" );
-
-    if( M <= 0 )
-        CV_Error( CV_StsOutOfRange, "M should be >0" );
-
-    dsize = cvGetMatSize(dst);
-
-    mapx.reset(cvCreateMat( dsize.height, dsize.width, CV_32F ));
-    mapy.reset(cvCreateMat( dsize.height, dsize.width, CV_32F ));
-
-    if( !(flags & CV_WARP_INVERSE_MAP) )
+    // if dest size is empty given than calculate using proportional setting
+    // thus we calculate needed angles to keep same area as bounding circle
+    if ((dsize.width <= 0) && (dsize.height <= 0))
     {
-        int phi, rho;
-        cv::AutoBuffer<double> _exp_tab(dsize.width);
-        double* exp_tab = _exp_tab;
-
-        for( rho = 0; rho < dst->width; rho++ )
-            exp_tab[rho] = std::exp(rho/M) - 1.0;
-
-        for( phi = 0; phi < dsize.height; phi++ )
-        {
-            double cp = cos(phi*2*CV_PI/dsize.height);
-            double sp = sin(phi*2*CV_PI/dsize.height);
-            float* mx = (float*)(mapx->data.ptr + phi*mapx->step);
-            float* my = (float*)(mapy->data.ptr + phi*mapy->step);
-
-            for( rho = 0; rho < dsize.width; rho++ )
-            {
-                double r = exp_tab[rho];
-                double x = r*cp + center.x;
-                double y = r*sp + center.y;
-
-                mx[rho] = (float)x;
-                my[rho] = (float)y;
-            }
-        }
+        dsize.width = cvRound(maxRadius);
+        dsize.height = cvRound(maxRadius * CV_PI);
     }
-    else
+    else if (dsize.height <= 0)
     {
-        const int ANGLE_BORDER = 1;
-        Mat src_ = cv::cvarrToMat(src);
-        cv::copyMakeBorder(src_, src_with_border, ANGLE_BORDER, ANGLE_BORDER, 0, 0, BORDER_WRAP);
-        srcstub = src_with_border; src = &srcstub;
-        CvSize ssize = cvGetMatSize(src);
-        ssize.height -= 2*ANGLE_BORDER;
-
-        int x, y;
-        CvMat bufx, bufy, bufp, bufa;
-        double ascale = ssize.height/(2*CV_PI);
-        cv::AutoBuffer<float> _buf(4*dsize.width);
-        float* buf = _buf;
-
-        bufx = cvMat( 1, dsize.width, CV_32F, buf );
-        bufy = cvMat( 1, dsize.width, CV_32F, buf + dsize.width );
-        bufp = cvMat( 1, dsize.width, CV_32F, buf + dsize.width*2 );
-        bufa = cvMat( 1, dsize.width, CV_32F, buf + dsize.width*3 );
-
-        for( x = 0; x < dsize.width; x++ )
-            bufx.data.fl[x] = (float)x - center.x;
-
-        for( y = 0; y < dsize.height; y++ )
-        {
-            float* mx = (float*)(mapx->data.ptr + y*mapx->step);
-            float* my = (float*)(mapy->data.ptr + y*mapy->step);
-
-            for( x = 0; x < dsize.width; x++ )
-                bufy.data.fl[x] = (float)y - center.y;
-
-#if 1
-            cvCartToPolar( &bufx, &bufy, &bufp, &bufa );
-
-            for( x = 0; x < dsize.width; x++ )
-                bufp.data.fl[x] += 1.f;
-
-            cvLog( &bufp, &bufp );
-
-            for( x = 0; x < dsize.width; x++ )
-            {
-                double rho = bufp.data.fl[x]*M;
-                double phi = bufa.data.fl[x]*ascale;
-
-                mx[x] = (float)rho;
-                my[x] = (float)phi + ANGLE_BORDER;
-            }
-#else
-            for( x = 0; x < dsize.width; x++ )
-            {
-                double xx = bufx.data.fl[x];
-                double yy = bufy.data.fl[x];
-
-                double p = log(std::sqrt(xx*xx + yy*yy) + 1.)*M;
-                double a = atan2(yy,xx);
-                if( a < 0 )
-                    a = 2*CV_PI + a;
-                a *= ascale;
-
-                mx[x] = (float)p;
-                my[x] = (float)a;
-            }
-#endif
-        }
+        dsize.height = cvRound(dsize.width * CV_PI);
     }
 
-    cvRemap( src, dst, mapx, mapy, flags, cvScalarAll(0) );
-}
-
-void cv::logPolar( InputArray _src, OutputArray _dst,
-                   Point2f center, double M, int flags )
-{
-    CV_INSTRUMENT_REGION()
-
-    CV_OCL_RUN(_src.isUMat() && _dst.isUMat(),
-        ocl_logPolar(_src, _dst, center, M, flags));
-    Mat src_with_border; // don't scope this variable (it holds image data)
-
     Mat mapx, mapy;
-
-    Mat srcstub, src = _src.getMat();
-    _dst.create(src.size(), src.type());
-    Size dsize = src.size();
-
-    if (M <= 0)
-        CV_Error(CV_StsOutOfRange, "M should be >0");
-
-
     mapx.create(dsize, CV_32F);
     mapy.create(dsize, CV_32F);
+    bool semiLog = (flags & WARP_POLAR_LOG) != 0;
 
     if (!(flags & CV_WARP_INVERSE_MAP))
     {
+        double Kangle = CV_2PI / dsize.height;
         int phi, rho;
-        cv::AutoBuffer<double> _exp_tab(dsize.width);
-        double* exp_tab = _exp_tab;
 
-        for (rho = 0; rho < dsize.width; rho++)
-            exp_tab[rho] = std::exp(rho / M) - 1.0;
+        // precalculate scaled rho
+        Mat rhos = Mat(1, dsize.width, CV_32F);
+        float* bufRhos = (float*)(rhos.data);
+        if (semiLog)
+        {
+            double Kmag = std::log(maxRadius) / dsize.width;
+            for (rho = 0; rho < dsize.width; rho++)
+                bufRhos[rho] = (float)(std::exp(rho * Kmag) - 1.0);
+
+        }
+        else
+        {
+            double Kmag = maxRadius / dsize.width;
+            for (rho = 0; rho < dsize.width; rho++)
+                bufRhos[rho] = (float)(rho * Kmag);
+        }
 
         for (phi = 0; phi < dsize.height; phi++)
         {
-            double cp = std::cos(phi * 2 * CV_PI / dsize.height);
-            double sp = std::sin(phi * 2 * CV_PI / dsize.height);
+            double KKy = Kangle * phi;
+            double cp = std::cos(KKy);
+            double sp = std::sin(KKy);
             float* mx = (float*)(mapx.data + phi*mapx.step);
             float* my = (float*)(mapy.data + phi*mapy.step);
 
             for (rho = 0; rho < dsize.width; rho++)
             {
-                double r = exp_tab[rho];
-                double x = r*cp + center.x;
-                double y = r*sp + center.y;
+                double x = bufRhos[rho] * cp + center.x;
+                double y = bufRhos[rho] * sp + center.y;
 
                 mx[rho] = (float)x;
                 my[rho] = (float)y;
             }
         }
+        remap(_src, _dst, mapx, mapy, flags & cv::INTER_MAX, (flags & CV_WARP_FILL_OUTLIERS) ? cv::BORDER_CONSTANT : cv::BORDER_TRANSPARENT);
     }
     else
     {
         const int ANGLE_BORDER = 1;
-        cv::copyMakeBorder(src, src_with_border, ANGLE_BORDER, ANGLE_BORDER, 0, 0, BORDER_WRAP);
-        srcstub = src_with_border; src = srcstub;
-        Size ssize = src.size();
+        cv::copyMakeBorder(_src, _dst, ANGLE_BORDER, ANGLE_BORDER, 0, 0, BORDER_WRAP);
+        Mat src = _dst.getMat();
+        Size ssize = _dst.size();
         ssize.height -= 2 * ANGLE_BORDER;
+        const double Kangle = CV_2PI / ssize.height;
+        double Kmag;
+        if (semiLog)
+            Kmag = std::log(maxRadius) / ssize.width;
+        else
+            Kmag = maxRadius / ssize.width;
 
         int x, y;
         Mat bufx, bufy, bufp, bufa;
-        double ascale = ssize.height / (2 * CV_PI);
 
         bufx = Mat(1, dsize.width, CV_32F);
         bufy = Mat(1, dsize.width, CV_32F);
@@ -3454,225 +3355,65 @@ void cv::logPolar( InputArray _src, OutputArray _dst,
             for (x = 0; x < dsize.width; x++)
                 bufy.at<float>(0, x) = (float)y - center.y;
 
-#if 1
-            cartToPolar(bufx, bufy, bufp, bufa);
-
-            for (x = 0; x < dsize.width; x++)
-                bufp.at<float>(0, x) += 1.f;
-
-            log(bufp, bufp);
-
-            for (x = 0; x < dsize.width; x++)
-            {
-                double rho = bufp.at<float>(0, x) * M;
-                double phi = bufa.at<float>(0, x) * ascale;
-
-                mx[x] = (float)rho;
-                my[x] = (float)phi + ANGLE_BORDER;
-            }
-#else
-            for (x = 0; x < dsize.width; x++)
-            {
-                double xx = bufx.at<float>(0, x);
-                double yy = bufy.at<float>(0, x);
-                double p = log(std::sqrt(xx*xx + yy*yy) + 1.)*M;
-                double a = atan2(yy, xx);
-                if (a < 0)
-                    a = 2 * CV_PI + a;
-                a *= ascale;
-                mx[x] = (float)p;
-                my[x] = (float)a;
-            }
-#endif
-        }
-    }
-
-    remap(src, _dst, mapx, mapy, flags & cv::INTER_MAX,
-        (flags & CV_WARP_FILL_OUTLIERS) ? cv::BORDER_CONSTANT : cv::BORDER_TRANSPARENT);
-}
-
-/****************************************************************************************
-                                   Linear-Polar Transform
-  J.L. Blanco, Apr 2009
- ****************************************************************************************/
-CV_IMPL
-void cvLinearPolar( const CvArr* srcarr, CvArr* dstarr,
-            CvPoint2D32f center, double maxRadius, int flags )
-{
-    Mat src_with_border; // don't scope this variable (it holds image data)
-
-    cv::Ptr<CvMat> mapx, mapy;
-
-    CvMat srcstub, *src = (CvMat*)srcarr;
-    CvMat dststub, *dst = (CvMat*)dstarr;
-    CvSize dsize;
-
-    src = cvGetMat( srcarr, &srcstub,0,0 );
-    dst = cvGetMat( dstarr, &dststub,0,0 );
-
-    if( !CV_ARE_TYPES_EQ( src, dst ))
-        CV_Error( CV_StsUnmatchedFormats, "" );
-
-    dsize = cvGetMatSize(dst);
-
-    mapx.reset(cvCreateMat( dsize.height, dsize.width, CV_32F ));
-    mapy.reset(cvCreateMat( dsize.height, dsize.width, CV_32F ));
-
-    if( !(flags & CV_WARP_INVERSE_MAP) )
-    {
-        int phi, rho;
-
-        for( phi = 0; phi < dsize.height; phi++ )
-        {
-            double cp = cos(phi*2*CV_PI/dsize.height);
-            double sp = sin(phi*2*CV_PI/dsize.height);
-            float* mx = (float*)(mapx->data.ptr + phi*mapx->step);
-            float* my = (float*)(mapy->data.ptr + phi*mapy->step);
+            cartToPolar(bufx, bufy, bufp, bufa, 0);
 
-            for( rho = 0; rho < dsize.width; rho++ )
+            if (semiLog)
             {
-                double r = maxRadius*rho/dsize.width;
-                double x = r*cp + center.x;
-                double y = r*sp + center.y;
-
-                mx[rho] = (float)x;
-                my[rho] = (float)y;
+                bufp += 1.f;
+                log(bufp, bufp);
             }
-        }
-    }
-    else
-    {
-        const int ANGLE_BORDER = 1;
-        Mat src_ = cv::cvarrToMat(src);
-        cv::copyMakeBorder(src_, src_with_border, ANGLE_BORDER, ANGLE_BORDER, 0, 0, BORDER_WRAP);
-        srcstub = src_with_border; src = &srcstub;
-        CvSize ssize = cvGetMatSize(src);
-        ssize.height -= 2*ANGLE_BORDER;
-
-        int x, y;
-        CvMat bufx, bufy, bufp, bufa;
-        const double ascale = ssize.height/(2*CV_PI);
-        const double pscale = ssize.width/maxRadius;
-
-        cv::AutoBuffer<float> _buf(4*dsize.width);
-        float* buf = _buf;
-
-        bufx = cvMat( 1, dsize.width, CV_32F, buf );
-        bufy = cvMat( 1, dsize.width, CV_32F, buf + dsize.width );
-        bufp = cvMat( 1, dsize.width, CV_32F, buf + dsize.width*2 );
-        bufa = cvMat( 1, dsize.width, CV_32F, buf + dsize.width*3 );
-
-        for( x = 0; x < dsize.width; x++ )
-            bufx.data.fl[x] = (float)x - center.x;
-
-        for( y = 0; y < dsize.height; y++ )
-        {
-            float* mx = (float*)(mapx->data.ptr + y*mapx->step);
-            float* my = (float*)(mapy->data.ptr + y*mapy->step);
-
-            for( x = 0; x < dsize.width; x++ )
-                bufy.data.fl[x] = (float)y - center.y;
 
-            cvCartToPolar( &bufx, &bufy, &bufp, &bufa, 0 );
-
-            for( x = 0; x < dsize.width; x++ )
+            for (x = 0; x < dsize.width; x++)
             {
-                double rho = bufp.data.fl[x]*pscale;
-                double phi = bufa.data.fl[x]*ascale;
+                double rho = bufp.at<float>(0, x) / Kmag;
+                double phi = bufa.at<float>(0, x) / Kangle;
                 mx[x] = (float)rho;
                 my[x] = (float)phi + ANGLE_BORDER;
             }
         }
+        remap(src, _dst, mapx, mapy, flags & cv::INTER_MAX,
+              (flags & CV_WARP_FILL_OUTLIERS) ? cv::BORDER_CONSTANT : cv::BORDER_TRANSPARENT);
     }
-
-    cvRemap( src, dst, mapx, mapy, flags, cvScalarAll(0) );
 }
 
 void cv::linearPolar( InputArray _src, OutputArray _dst,
                       Point2f center, double maxRadius, int flags )
 {
-    CV_INSTRUMENT_REGION()
-
-    CV_OCL_RUN(_src.isUMat() && _dst.isUMat(),
-        ocl_linearPolar(_src, _dst, center, maxRadius, flags));
-    Mat src_with_border; // don't scope this variable (it holds image data)
-
-    Mat mapx, mapy;
-    Mat srcstub, src = _src.getMat();
-    _dst.create(src.size(), src.type());
-    Size dsize = src.size();
-
-
-    mapx.create(dsize, CV_32F);
-    mapy.create(dsize, CV_32F);
-
-    if (!(flags & CV_WARP_INVERSE_MAP))
-    {
-        int phi, rho;
-
-        for (phi = 0; phi < dsize.height; phi++)
-        {
-            double cp = std::cos(phi * 2 * CV_PI / dsize.height);
-            double sp = std::sin(phi * 2 * CV_PI / dsize.height);
-            float* mx = (float*)(mapx.data + phi*mapx.step);
-            float* my = (float*)(mapy.data + phi*mapy.step);
-
-            for (rho = 0; rho < dsize.width; rho++)
-            {
-                double r = maxRadius*rho / dsize.width;
-                double x = r*cp + center.x;
-                double y = r*sp + center.y;
-
-                mx[rho] = (float)x;
-                my[rho] = (float)y;
-            }
-        }
-    }
-    else
-    {
-        const int ANGLE_BORDER = 1;
-
-        cv::copyMakeBorder(src, src_with_border, ANGLE_BORDER, ANGLE_BORDER, 0, 0, BORDER_WRAP);
-        src = src_with_border;
-        Size ssize = src_with_border.size();
-        ssize.height -= 2 * ANGLE_BORDER;
-
-        int x, y;
-        Mat bufx, bufy, bufp, bufa;
-        const double ascale = ssize.height / (2 * CV_PI);
-        const double pscale = ssize.width / maxRadius;
-
-
+    warpPolar(_src, _dst, _src.size(), center, maxRadius, flags & ~WARP_POLAR_LOG);
+}
 
-        bufx = Mat(1, dsize.width, CV_32F);
-        bufy = Mat(1, dsize.width, CV_32F);
-        bufp = Mat(1, dsize.width, CV_32F);
-        bufa = Mat(1, dsize.width, CV_32F);
+void cv::logPolar( InputArray _src, OutputArray _dst,
+                   Point2f center, double maxRadius, int flags )
+{
+    Size ssize = _src.size();
+    double M = maxRadius > 0 ? std::exp(ssize.width / maxRadius) : 1;
+    warpPolar(_src, _dst, ssize, center, M, flags | WARP_POLAR_LOG);
+}
 
-        for (x = 0; x < dsize.width; x++)
-            bufx.at<float>(0, x) = (float)x - center.x;
+CV_IMPL
+void cvLinearPolar( const CvArr* srcarr, CvArr* dstarr,
+                    CvPoint2D32f center, double maxRadius, int flags )
+{
+    Mat src = cvarrToMat(srcarr);
+    Mat dst = cvarrToMat(dstarr);
 
-        for (y = 0; y < dsize.height; y++)
-        {
-            float* mx = (float*)(mapx.data + y*mapx.step);
-            float* my = (float*)(mapy.data + y*mapy.step);
+    CV_Assert(src.size == dst.size);
+    CV_Assert(src.type() == dst.type());
 
-            for (x = 0; x < dsize.width; x++)
-                bufy.at<float>(0, x) = (float)y - center.y;
+    cv::linearPolar(src, dst, center, maxRadius, flags);
+}
 
-            cartToPolar(bufx, bufy, bufp, bufa, 0);
+CV_IMPL
+void cvLogPolar( const CvArr* srcarr, CvArr* dstarr,
+                 CvPoint2D32f center, double M, int flags )
+{
+    Mat src = cvarrToMat(srcarr);
+    Mat dst = cvarrToMat(dstarr);
 
-            for (x = 0; x < dsize.width; x++)
-            {
-                double rho = bufp.at<float>(0, x) * pscale;
-                double phi = bufa.at<float>(0, x) * ascale;
-                mx[x] = (float)rho;
-                my[x] = (float)phi + ANGLE_BORDER;
-            }
-        }
-    }
+    CV_Assert(src.size == dst.size);
+    CV_Assert(src.type() == dst.type());
 
-    remap(src, _dst, mapx, mapy, flags & cv::INTER_MAX, (flags & CV_WARP_FILL_OUTLIERS) ? cv::BORDER_CONSTANT : cv::BORDER_TRANSPARENT);
+    cv::logPolar(src, dst, center, M, flags);
 }
 
 /* End of file. */

diff --git a/modules/imgproc/test/test_imgwarp.cpp b/modules/imgproc/test/test_imgwarp.cpp
index 62907c4..741ec77 100644 (file)
--- a/modules/imgproc/test/test_imgwarp.cpp
+++ b/modules/imgproc/test/test_imgwarp.cpp
@@ -1781,7 +1781,7 @@ TEST(Imgproc_Remap, DISABLED_memleak)
     }
 }
 
-
+//** @deprecated */
 TEST(Imgproc_linearPolar, identity)
 {
     const int N = 33;
@@ -1821,7 +1821,7 @@ TEST(Imgproc_linearPolar, identity)
 #endif
 }
 
-
+//** @deprecated */
 TEST(Imgproc_logPolar, identity)
 {
     const int N = 33;
@@ -1862,6 +1862,52 @@ TEST(Imgproc_logPolar, identity)
 #endif
 }
 
+TEST(Imgproc_warpPolar, identity)
+{
+    const int N = 33;
+    Mat in(N, N, CV_8UC3, Scalar(255, 0, 0));
+    in(cv::Rect(N / 3, N / 3, N / 3, N / 3)).setTo(Scalar::all(255));
+    cv::blur(in, in, Size(5, 5));
+    cv::blur(in, in, Size(5, 5));
+
+    Mat src = in.clone();
+    Mat dst;
+
+    Rect roi = Rect(0, 0, in.cols - ((N + 19) / 20), in.rows);
+    Point2f center = Point2f((N - 1) * 0.5f, (N - 1) * 0.5f);
+    double radius = N * 0.5;
+    int flags = CV_WARP_FILL_OUTLIERS | CV_INTER_LINEAR;
+    // test linearPolar
+    for (int ki = 1; ki <= 5; ki++)
+    {
+        warpPolar(src, dst, src.size(), center, radius, flags + WARP_POLAR_LINEAR + CV_WARP_INVERSE_MAP);
+        warpPolar(dst, src, src.size(), center, radius, flags + WARP_POLAR_LINEAR);
+
+        double psnr = cv::PSNR(in(roi), src(roi));
+        EXPECT_LE(25, psnr) << "iteration=" << ki;
+    }
+    // test logPolar
+    src = in.clone();
+    for (int ki = 1; ki <= 5; ki++)
+    {
+        warpPolar(src, dst, src.size(),center, radius, flags + WARP_POLAR_LOG + CV_WARP_INVERSE_MAP );
+        warpPolar(dst, src, src.size(),center, radius, flags + WARP_POLAR_LOG);
+
+        double psnr = cv::PSNR(in(roi), src(roi));
+        EXPECT_LE(25, psnr) << "iteration=" << ki;
+    }
+
+#if 0
+    Mat all(N*2+2,N*2+2, src.type(), Scalar(0,0,255));
+    in.copyTo(all(Rect(0,0,N,N)));
+    src.copyTo(all(Rect(0,N+1,N,N)));
+    src.copyTo(all(Rect(N+1,0,N,N)));
+    dst.copyTo(all(Rect(N+1,N+1,N,N)));
+    imwrite("linearPolar.png", all);
+    imshow("input", in); imshow("result", dst); imshow("restore", src); imshow("all", all);
+    cv::waitKey();
+#endif
+}
 
 }} // namespace
 /* End of file. */

diff --git a/samples/cpp/polar_transforms.cpp b/samples/cpp/polar_transforms.cpp
index d860e27..4a6014f 100644 (file)
--- a/samples/cpp/polar_transforms.cpp
+++ b/samples/cpp/polar_transforms.cpp
@@ -43,33 +43,82 @@ int main( int argc, char** argv )
     moveWindow( "Log-Polar", 700,20 );
     moveWindow( "Recovered Linear-Polar", 20, 350 );
     moveWindow( "Recovered Log-Polar", 700, 350 );
-
+    int flags = INTER_LINEAR + WARP_FILL_OUTLIERS;
+    Mat src;
     for(;;)
     {
-        Mat frame;
-        capture >> frame;
+        capture >> src;
 
-        if( frame.empty() )
+        if(src.empty() )
             break;
 
-        Point2f center( (float)frame.cols / 2, (float)frame.rows / 2 );
-        double M = 70;
-
-        logPolar(frame,log_polar_img, center, M, INTER_LINEAR + WARP_FILL_OUTLIERS);
-        linearPolar(frame,lin_polar_img, center, M, INTER_LINEAR + WARP_FILL_OUTLIERS);
-
-        logPolar(log_polar_img, recovered_log_polar, center, M, WARP_INVERSE_MAP + INTER_LINEAR);
-        linearPolar(lin_polar_img, recovered_lin_polar_img, center, M, WARP_INVERSE_MAP + INTER_LINEAR + WARP_FILL_OUTLIERS);
-
-        imshow("Log-Polar", log_polar_img );
-        imshow("Linear-Polar", lin_polar_img );
+        Point2f center( (float)src.cols / 2, (float)src.rows / 2 );
+        double maxRadius = 0.7*min(center.y, center.x);
+
+#if 0 //deprecated
+        double M = frame.cols / log(maxRadius);
+        logPolar(frame, log_polar_img, center, M, flags);
+        linearPolar(frame, lin_polar_img, center, maxRadius, flags);
+
+        logPolar(log_polar_img, recovered_log_polar, center, M, flags + WARP_INVERSE_MAP);
+        linearPolar(lin_polar_img, recovered_lin_polar_img, center, maxRadius, flags + WARP_INVERSE_MAP);
+#endif
+        //! [InverseMap]
+        // direct transform
+        warpPolar(src, lin_polar_img, Size(),center, maxRadius, flags);                     // linear Polar
+        warpPolar(src, log_polar_img, Size(),center, maxRadius, flags + WARP_POLAR_LOG);    // semilog Polar
+        // inverse transform
+        warpPolar(lin_polar_img, recovered_lin_polar_img, src.size(), center, maxRadius, flags + WARP_INVERSE_MAP);
+        warpPolar(log_polar_img, recovered_log_polar, src.size(), center, maxRadius, flags + WARP_POLAR_LOG + WARP_INVERSE_MAP);
+        //! [InverseMap]
+
+        // Below is the reverse transformation for (rho, phi)->(x, y) :
+        Mat dst;
+        if (flags & WARP_POLAR_LOG)
+            dst = log_polar_img;
+        else
+            dst = lin_polar_img;
+        //get a point from the polar image
+        int rho = cvRound(dst.cols * 0.75);
+        int phi = cvRound(dst.rows / 2.0);
+
+        //! [InverseCoordinate]
+        double angleRad, magnitude;
+        double Kangle = dst.rows / CV_2PI;
+        angleRad = phi / Kangle;
+        if (flags & WARP_POLAR_LOG)
+        {
+            double Klog = dst.cols / std::log(maxRadius);
+            magnitude = std::exp(rho / Klog);
+        }
+        else
+        {
+            double Klin = dst.cols / maxRadius;
+            magnitude = rho / Klin;
+        }
+        int x = cvRound(center.x + magnitude * cos(angleRad));
+        int y = cvRound(center.y + magnitude * sin(angleRad));
+        //! [InverseCoordinate]
+        drawMarker(src, Point(x, y), Scalar(0, 255, 0));
+        drawMarker(dst, Point(rho, phi), Scalar(0, 255, 0));
+
+
+#if 0  //C version
+        CvMat src = frame;
+        CvMat dst = lin_polar_img;
+        CvMat inverse = recovered_lin_polar_img;
+        cvLinearPolar(&src, &dst, center, maxRadius, flags);
+        cvLinearPolar(&dst, &inverse, center, maxRadius,flags + WARP_INVERSE_MAP);
+#endif
+
+        imshow("Src frame", src);
+        imshow("Log-Polar", log_polar_img);
+        imshow("Linear-Polar", lin_polar_img);
         imshow("Recovered Linear-Polar", recovered_lin_polar_img );
         imshow("Recovered Log-Polar", recovered_log_polar );
 
         if( waitKey(10) >= 0 )
             break;
     }
-
-    waitKey(0);
     return 0;
 }