// This file is part of OpenCV project. // It is subject to the license terms in the LICENSE file found in the top-level directory // of this distribution and at http://opencv.org/license.html #include "../precomp.hpp" #include "opencv2/core/hal/hal.hpp" #include "aruco_utils.hpp" #include "predefined_dictionaries.hpp" #include "apriltag/predefined_dictionaries_apriltag.hpp" #include namespace cv { namespace aruco { using namespace std; Dictionary::Dictionary(): markerSize(0), maxCorrectionBits(0) {} Dictionary::Dictionary(const Mat &_bytesList, int _markerSize, int _maxcorr) { markerSize = _markerSize; maxCorrectionBits = _maxcorr; bytesList = _bytesList; } bool Dictionary::readDictionary(const cv::FileNode& fn) { int nMarkers = 0, _markerSize = 0; if (fn.empty() || !readParameter("nmarkers", nMarkers, fn) || !readParameter("markersize", _markerSize, fn)) return false; Mat bytes(0, 0, CV_8UC1), marker(_markerSize, _markerSize, CV_8UC1); std::string markerString; for (int i = 0; i < nMarkers; i++) { std::ostringstream ostr; ostr << i; if (!readParameter("marker_" + ostr.str(), markerString, fn)) return false; for (int j = 0; j < (int) markerString.size(); j++) marker.at(j) = (markerString[j] == '0') ? 0 : 1; bytes.push_back(Dictionary::getByteListFromBits(marker)); } int _maxCorrectionBits = 0; readParameter("maxCorrectionBits", _maxCorrectionBits, fn); *this = Dictionary(bytes, _markerSize, _maxCorrectionBits); return true; } void Dictionary::writeDictionary(FileStorage& fs, const String &name) { CV_Assert(fs.isOpened()); if (!name.empty()) fs << name << "{"; fs << "nmarkers" << bytesList.rows; fs << "markersize" << markerSize; fs << "maxCorrectionBits" << maxCorrectionBits; for (int i = 0; i < bytesList.rows; i++) { Mat row = bytesList.row(i);; Mat bitMarker = getBitsFromByteList(row, markerSize); std::ostringstream ostr; ostr << i; string markerName = "marker_" + ostr.str(); string marker; for (int j = 0; j < markerSize * markerSize; j++) marker.push_back(bitMarker.at(j) + '0'); fs << markerName << marker; } if (!name.empty()) fs << "}"; } bool Dictionary::identify(const Mat &onlyBits, int &idx, int &rotation, double maxCorrectionRate) const { CV_Assert(onlyBits.rows == markerSize && onlyBits.cols == markerSize); int maxCorrectionRecalculed = int(double(maxCorrectionBits) * maxCorrectionRate); // get as a byte list Mat candidateBytes = getByteListFromBits(onlyBits); idx = -1; // by default, not found // search closest marker in dict for(int m = 0; m < bytesList.rows; m++) { int currentMinDistance = markerSize * markerSize + 1; int currentRotation = -1; for(unsigned int r = 0; r < 4; r++) { int currentHamming = cv::hal::normHamming( bytesList.ptr(m)+r*candidateBytes.cols, candidateBytes.ptr(), candidateBytes.cols); if(currentHamming < currentMinDistance) { currentMinDistance = currentHamming; currentRotation = r; } } // if maxCorrection is fulfilled, return this one if(currentMinDistance <= maxCorrectionRecalculed) { idx = m; rotation = currentRotation; break; } } return idx != -1; } int Dictionary::getDistanceToId(InputArray bits, int id, bool allRotations) const { CV_Assert(id >= 0 && id < bytesList.rows); unsigned int nRotations = 4; if(!allRotations) nRotations = 1; Mat candidateBytes = getByteListFromBits(bits.getMat()); int currentMinDistance = int(bits.total() * bits.total()); for(unsigned int r = 0; r < nRotations; r++) { int currentHamming = cv::hal::normHamming( bytesList.ptr(id) + r*candidateBytes.cols, candidateBytes.ptr(), candidateBytes.cols); if(currentHamming < currentMinDistance) { currentMinDistance = currentHamming; } } return currentMinDistance; } void Dictionary::generateImageMarker(int id, int sidePixels, OutputArray _img, int borderBits) const { CV_Assert(sidePixels >= (markerSize + 2*borderBits)); CV_Assert(id < bytesList.rows); CV_Assert(borderBits > 0); _img.create(sidePixels, sidePixels, CV_8UC1); // create small marker with 1 pixel per bin Mat tinyMarker(markerSize + 2 * borderBits, markerSize + 2 * borderBits, CV_8UC1, Scalar::all(0)); Mat innerRegion = tinyMarker.rowRange(borderBits, tinyMarker.rows - borderBits) .colRange(borderBits, tinyMarker.cols - borderBits); // put inner bits Mat bits = 255 * getBitsFromByteList(bytesList.rowRange(id, id + 1), markerSize); CV_Assert(innerRegion.total() == bits.total()); bits.copyTo(innerRegion); // resize tiny marker to output size cv::resize(tinyMarker, _img.getMat(), _img.getMat().size(), 0, 0, INTER_NEAREST); } Mat Dictionary::getByteListFromBits(const Mat &bits) { // integer ceil int nbytes = (bits.cols * bits.rows + 8 - 1) / 8; Mat candidateByteList(1, nbytes, CV_8UC4, Scalar::all(0)); unsigned char currentBit = 0; int currentByte = 0; // the 4 rotations uchar* rot0 = candidateByteList.ptr(); uchar* rot1 = candidateByteList.ptr() + 1*nbytes; uchar* rot2 = candidateByteList.ptr() + 2*nbytes; uchar* rot3 = candidateByteList.ptr() + 3*nbytes; for(int row = 0; row < bits.rows; row++) { for(int col = 0; col < bits.cols; col++) { // circular shift rot0[currentByte] <<= 1; rot1[currentByte] <<= 1; rot2[currentByte] <<= 1; rot3[currentByte] <<= 1; // set bit rot0[currentByte] |= bits.at(row, col); rot1[currentByte] |= bits.at(col, bits.cols - 1 - row); rot2[currentByte] |= bits.at(bits.rows - 1 - row, bits.cols - 1 - col); rot3[currentByte] |= bits.at(bits.rows - 1 - col, row); currentBit++; if(currentBit == 8) { // next byte currentBit = 0; currentByte++; } } } return candidateByteList; } Mat Dictionary::getBitsFromByteList(const Mat &byteList, int markerSize) { CV_Assert(byteList.total() > 0 && byteList.total() >= (unsigned int)markerSize * markerSize / 8 && byteList.total() <= (unsigned int)markerSize * markerSize / 8 + 1); Mat bits(markerSize, markerSize, CV_8UC1, Scalar::all(0)); unsigned char base2List[] = { 128, 64, 32, 16, 8, 4, 2, 1 }; int currentByteIdx = 0; // we only need the bytes in normal rotation unsigned char currentByte = byteList.ptr()[0]; int currentBit = 0; for(int row = 0; row < bits.rows; row++) { for(int col = 0; col < bits.cols; col++) { if(currentByte >= base2List[currentBit]) { bits.at(row, col) = 1; currentByte -= base2List[currentBit]; } currentBit++; if(currentBit == 8) { currentByteIdx++; currentByte = byteList.ptr()[currentByteIdx]; // if not enough bits for one more byte, we are in the end // update bit position accordingly if(8 * (currentByteIdx + 1) > (int)bits.total()) currentBit = 8 * (currentByteIdx + 1) - (int)bits.total(); else currentBit = 0; // ok, bits enough for next byte } } } return bits; } Dictionary getPredefinedDictionary(PredefinedDictionaryType name) { // DictionaryData constructors calls // moved out of globals so construted on first use, which allows lazy-loading of opencv dll static const Dictionary DICT_ARUCO_DATA = Dictionary(Mat(1024, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_ARUCO_BYTES), 5, 0); static const Dictionary DICT_4X4_50_DATA = Dictionary(Mat(50, (4 * 4 + 7) / 8, CV_8UC4, (uchar*)DICT_4X4_1000_BYTES), 4, 1); static const Dictionary DICT_4X4_100_DATA = Dictionary(Mat(100, (4 * 4 + 7) / 8, CV_8UC4, (uchar*)DICT_4X4_1000_BYTES), 4, 1); static const Dictionary DICT_4X4_250_DATA = Dictionary(Mat(250, (4 * 4 + 7) / 8, CV_8UC4, (uchar*)DICT_4X4_1000_BYTES), 4, 1); static const Dictionary DICT_4X4_1000_DATA = Dictionary(Mat(1000, (4 * 4 + 7) / 8, CV_8UC4, (uchar*)DICT_4X4_1000_BYTES), 4, 0); static const Dictionary DICT_5X5_50_DATA = Dictionary(Mat(50, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_5X5_1000_BYTES), 5, 3); static const Dictionary DICT_5X5_100_DATA = Dictionary(Mat(100, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_5X5_1000_BYTES), 5, 3); static const Dictionary DICT_5X5_250_DATA = Dictionary(Mat(250, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_5X5_1000_BYTES), 5, 2); static const Dictionary DICT_5X5_1000_DATA = Dictionary(Mat(1000, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_5X5_1000_BYTES), 5, 2); static const Dictionary DICT_6X6_50_DATA = Dictionary(Mat(50, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_6X6_1000_BYTES), 6, 6); static const Dictionary DICT_6X6_100_DATA = Dictionary(Mat(100, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_6X6_1000_BYTES), 6, 5); static const Dictionary DICT_6X6_250_DATA = Dictionary(Mat(250, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_6X6_1000_BYTES), 6, 5); static const Dictionary DICT_6X6_1000_DATA = Dictionary(Mat(1000, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_6X6_1000_BYTES), 6, 4); static const Dictionary DICT_7X7_50_DATA = Dictionary(Mat(50, (7 * 7 + 7) / 8, CV_8UC4, (uchar*)DICT_7X7_1000_BYTES), 7, 9); static const Dictionary DICT_7X7_100_DATA = Dictionary(Mat(100, (7 * 7 + 7) / 8, CV_8UC4, (uchar*)DICT_7X7_1000_BYTES), 7, 8); static const Dictionary DICT_7X7_250_DATA = Dictionary(Mat(250, (7 * 7 + 7) / 8, CV_8UC4, (uchar*)DICT_7X7_1000_BYTES), 7, 8); static const Dictionary DICT_7X7_1000_DATA = Dictionary(Mat(1000, (7 * 7 + 7) / 8, CV_8UC4, (uchar*)DICT_7X7_1000_BYTES), 7, 6); static const Dictionary DICT_APRILTAG_16h5_DATA = Dictionary(Mat(30, (4 * 4 + 7) / 8, CV_8UC4, (uchar*)DICT_APRILTAG_16h5_BYTES), 4, 0); static const Dictionary DICT_APRILTAG_25h9_DATA = Dictionary(Mat(35, (5 * 5 + 7) / 8, CV_8UC4, (uchar*)DICT_APRILTAG_25h9_BYTES), 5, 0); static const Dictionary DICT_APRILTAG_36h10_DATA = Dictionary(Mat(2320, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_APRILTAG_36h10_BYTES), 6, 0); static const Dictionary DICT_APRILTAG_36h11_DATA = Dictionary(Mat(587, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_APRILTAG_36h11_BYTES), 6, 0); static const Dictionary DICT_ARUCO_MIP_36h12_DATA = Dictionary(Mat(250, (6 * 6 + 7) / 8, CV_8UC4, (uchar*)DICT_ARUCO_MIP_36h12_BYTES), 6, 12); switch(name) { case DICT_ARUCO_ORIGINAL: return Dictionary(DICT_ARUCO_DATA); case DICT_4X4_50: return Dictionary(DICT_4X4_50_DATA); case DICT_4X4_100: return Dictionary(DICT_4X4_100_DATA); case DICT_4X4_250: return Dictionary(DICT_4X4_250_DATA); case DICT_4X4_1000: return Dictionary(DICT_4X4_1000_DATA); case DICT_5X5_50: return Dictionary(DICT_5X5_50_DATA); case DICT_5X5_100: return Dictionary(DICT_5X5_100_DATA); case DICT_5X5_250: return Dictionary(DICT_5X5_250_DATA); case DICT_5X5_1000: return Dictionary(DICT_5X5_1000_DATA); case DICT_6X6_50: return Dictionary(DICT_6X6_50_DATA); case DICT_6X6_100: return Dictionary(DICT_6X6_100_DATA); case DICT_6X6_250: return Dictionary(DICT_6X6_250_DATA); case DICT_6X6_1000: return Dictionary(DICT_6X6_1000_DATA); case DICT_7X7_50: return Dictionary(DICT_7X7_50_DATA); case DICT_7X7_100: return Dictionary(DICT_7X7_100_DATA); case DICT_7X7_250: return Dictionary(DICT_7X7_250_DATA); case DICT_7X7_1000: return Dictionary(DICT_7X7_1000_DATA); case DICT_APRILTAG_16h5: return Dictionary(DICT_APRILTAG_16h5_DATA); case DICT_APRILTAG_25h9: return Dictionary(DICT_APRILTAG_25h9_DATA); case DICT_APRILTAG_36h10: return Dictionary(DICT_APRILTAG_36h10_DATA); case DICT_APRILTAG_36h11: return Dictionary(DICT_APRILTAG_36h11_DATA); case DICT_ARUCO_MIP_36h12: return Dictionary(DICT_ARUCO_MIP_36h12_DATA); } return Dictionary(DICT_4X4_50_DATA); } Dictionary getPredefinedDictionary(int dict) { return getPredefinedDictionary(PredefinedDictionaryType(dict)); } /** * @brief Generates a random marker Mat of size markerSize x markerSize */ static Mat _generateRandomMarker(int markerSize, RNG &rng) { Mat marker(markerSize, markerSize, CV_8UC1, Scalar::all(0)); for(int i = 0; i < markerSize; i++) { for(int j = 0; j < markerSize; j++) { unsigned char bit = (unsigned char) (rng.uniform(0,2)); marker.at(i, j) = bit; } } return marker; } /** * @brief Calculate selfDistance of the codification of a marker Mat. Self distance is the Hamming * distance of the marker to itself in the other rotations. * See S. Garrido-Jurado, R. Muñoz-Salinas, F. J. Madrid-Cuevas, and M. J. Marín-Jiménez. 2014. * "Automatic generation and detection of highly reliable fiducial markers under occlusion". * Pattern Recogn. 47, 6 (June 2014), 2280-2292. DOI=10.1016/j.patcog.2014.01.005 */ static int _getSelfDistance(const Mat &marker) { Mat bytes = Dictionary::getByteListFromBits(marker); int minHamming = (int)marker.total() + 1; for(int r = 1; r < 4; r++) { int currentHamming = cv::hal::normHamming(bytes.ptr(), bytes.ptr() + bytes.cols*r, bytes.cols); if(currentHamming < minHamming) minHamming = currentHamming; } return minHamming; } Dictionary extendDictionary(int nMarkers, int markerSize, const Dictionary &baseDictionary, int randomSeed) { CV_Assert(nMarkers > 0); RNG rng((uint64)(randomSeed)); Dictionary out = Dictionary(Mat(), markerSize); out.markerSize = markerSize; // theoretical maximum intermarker distance // See S. Garrido-Jurado, R. Muñoz-Salinas, F. J. Madrid-Cuevas, and M. J. Marín-Jiménez. 2014. // "Automatic generation and detection of highly reliable fiducial markers under occlusion". // Pattern Recogn. 47, 6 (June 2014), 2280-2292. DOI=10.1016/j.patcog.2014.01.005 int C = (int)std::floor(float(markerSize * markerSize) / 4.f); int tau = 2 * (int)std::floor(float(C) * 4.f / 3.f); // if baseDictionary is provided, calculate its intermarker distance if(baseDictionary.bytesList.rows > 0) { CV_Assert(baseDictionary.markerSize == markerSize); out.bytesList = baseDictionary.bytesList.rowRange(0, min(nMarkers, baseDictionary.bytesList.rows)).clone(); int minDistance = markerSize * markerSize + 1; for(int i = 0; i < out.bytesList.rows; i++) { Mat markerBytes = out.bytesList.rowRange(i, i + 1); Mat markerBits = Dictionary::getBitsFromByteList(markerBytes, markerSize); minDistance = min(minDistance, _getSelfDistance(markerBits)); for(int j = i + 1; j < out.bytesList.rows; j++) { minDistance = min(minDistance, out.getDistanceToId(markerBits, j)); } } tau = minDistance; } // current best option int bestTau = 0; Mat bestMarker; // after these number of unproductive iterations, the best option is accepted const int maxUnproductiveIterations = 5000; int unproductiveIterations = 0; while(out.bytesList.rows < nMarkers) { Mat currentMarker = _generateRandomMarker(markerSize, rng); int selfDistance = _getSelfDistance(currentMarker); int minDistance = selfDistance; // if self distance is better or equal than current best option, calculate distance // to previous accepted markers if(selfDistance >= bestTau) { for(int i = 0; i < out.bytesList.rows; i++) { int currentDistance = out.getDistanceToId(currentMarker, i); minDistance = min(currentDistance, minDistance); if(minDistance <= bestTau) { break; } } } // if distance is high enough, accept the marker if(minDistance >= tau) { unproductiveIterations = 0; bestTau = 0; Mat bytes = Dictionary::getByteListFromBits(currentMarker); out.bytesList.push_back(bytes); } else { unproductiveIterations++; // if distance is not enough, but is better than the current best option if(minDistance > bestTau) { bestTau = minDistance; bestMarker = currentMarker; } // if number of unproductive iterarions has been reached, accept the current best option if(unproductiveIterations == maxUnproductiveIterations) { unproductiveIterations = 0; tau = bestTau; bestTau = 0; Mat bytes = Dictionary::getByteListFromBits(bestMarker); out.bytesList.push_back(bytes); } } } // update the maximum number of correction bits for the generated dictionary out.maxCorrectionBits = (tau - 1) / 2; return out; } } }