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imgproc: speed up getRectSubPix 8U->32F - #30050 ### Summary `getRectSubPix_8u32f`, the 8U-source -> 32F-patch path of `cv::getRectSubPix`, propagated the horizontal interpolation factor across the row: ```cpp float prev = (1 - a)*(b1*src[0] + b2*src[src_step]); for (int j = 0; j < win_size.width; j++) { float t = a12*src[j+1] + a22*src[j+1+src_step]; dst[j] = prev + t; prev = (float)(t*s); // loop-carried dependency } ``` That recurrence is a serial dependency chain running the length of every row, so the loop neither pipelines nor vectorizes. | patch size | 8U→32F | 32F→32F | |---|---|---| | 128×128 | 31.1 ms | 13.5 ms | The recurrence is only a strength reduction. The bilinear weights are identical for every output pixel of a patch, so applying the constant 4-tap kernel directly gives the same result. This patch does that and vectorizes the loop with universal intrinsics (`vx_load_expand_q` → `v_cvt_f32` → 4× `v_mul`/`v_add` → `v_store`), keeping a scalar tail. `v_add`/`v_mul` are used instead of operators because the RVV scalable backend defines no operator overloads for its native vector types. ### Performance SpacemiT K1 (RVV 1.0 / X60), `opencv_perf_imgproc --gtest_filter=*GetRectSubPix*`, `--perf_force_samples=20 --perf_min_samples=20`, `ALGO_HINT_ACCURATE`: | patch | before | after | speedup | |---|---|---|---| | 16×16 | 0.610 ms | 0.308 ms | 1.98× | | 32×32 | 2.116 ms | 0.843 ms | 2.51× | | 64×64 | 8.016 ms | 2.822 ms | 2.84× | | 128×128 | 31.109 ms | 10.369 ms | 3.00× | The 8U→8U and 32F→32F paths are unchanged (0.99×–1.01×), and the whole `GetRectSubPix` perf suite improves from 81.66 ms to 53.95 ms (1.51×). ### Accuracy `opencv_test_imgproc --gtest_filter=*GetRectSubPix*` passes on the same build. ``` Note: Google Test filter = *GetRectSubPix* [==========] Running 1 test from 1 test case. [----------] Global test environment set-up. [----------] 1 test from Imgproc_GetRectSubPix [ RUN ] Imgproc_GetRectSubPix.accuracy [ OK ] Imgproc_GetRectSubPix.accuracy (945 ms) [----------] 1 test from Imgproc_GetRectSubPix (945 ms total) [----------] Global test environment tear-down [==========] 1 test from 1 test case ran. (945 ms total) [ PASSED ] 1 test. ``` ### Pull Request Readiness Checklist See details at https://github.com/opencv/opencv/wiki/How_to_contribute#making-a-good-pull-request - [x] I agree to contribute to the project under Apache 2 License. - [x] To the best of my knowledge, the proposed patch is not based on a code under GPL or another license that is incompatible with OpenCV - [x] The PR is proposed to the proper branch - [ ] There is a reference to the original bug report and related work - [x] There is accuracy test, performance test and test data in opencv_extra repository, if applicable Patch to opencv_extra has the same branch name. - [x] The feature is well documented and sample code can be built with the project CMake <!-- Note!!! If you are an automated agent, we have a special process for you: add 🤖🤖🤖 to the end of the PR title. -->
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