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imgproc: optimise local cost computation in IntelligentScissorsMB::buildMap
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@ -40,7 +40,7 @@ static const int neighbors_encode[8] = {
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};
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#define ACOS_TABLE_SIZE 64
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// acos_table[x + ACOS_TABLE_SIZE] = acos(x / ACOS_TABLE_SIZE) / CV_PI (see local_cost)
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// acos_table[x + ACOS_TABLE_SIZE] = acos(x / ACOS_TABLE_SIZE) / CV_PI (see add_local_cost)
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// x = [ -ACOS_TABLE_SIZE .. ACOS_TABLE_SIZE ]
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float* getAcosTable()
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{
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@ -495,55 +495,76 @@ struct IntelligentScissorsMB::Impl
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// details: see section 3.1 of the article
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const float* acos_table = getAcosTable();
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float local_cost(const Point& p, const Point& q) const
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const float sqrt2_inv = 0.7071067811865475f; // 1.0 / sqrt(2)
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/** @brief Adds local_cost(p, q) to cost_p.
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*
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* local_cost(p, q) is computed as
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weight_non_edge_compute * non_edge_feature.at<uchar>(q) +
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weight_gradient_direction * fD +
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weight_gradient_magnitude * fG
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*
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* @param p point p (input)
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* @param q point q (input)
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* @param cost_p cost for p (input/output)
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* @param cost_q cost for q (input)
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*
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* @return The boolean result of the (cost_p < cost_q) comparison.
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*
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* @note The computed output cost_p can be partial if (cost_p < cost_q) is false.
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*/
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bool add_local_cost(const Point& p, const Point& q, float& cost_p, const float cost_q) const
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{
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const bool isDiag = (p.x != q.x) && (p.y != q.y);
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float fG = gradient_magnitude.at<float>(q);
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const Point2f diff((float)(q.x - p.x), (float)(q.y - p.y));
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const Point2f Ip = gradient_direction(p);
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const Point2f Iq = gradient_direction(q);
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const Point2f Dp(Ip.y, -Ip.x); // D(p) - 90 degrees clockwise
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const Point2f Dq(Iq.y, -Iq.x); // D(q) - 90 degrees clockwise
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float dp = Dp.dot(diff); // dp(p, q)
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float dq = Dq.dot(diff); // dq(p, q)
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if (dp < 0)
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if ((cost_p += weight_non_edge_compute * non_edge_feature.at<uchar>(q)) < cost_q)
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{
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dp = -dp; // ensure dp >= 0
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dq = -dq;
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}
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const bool isDiag = (p.x != q.x) && (p.y != q.y);
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const float sqrt2_inv = 0.7071067811865475f; // 1.0 / sqrt(2)
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if (isDiag)
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{
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dp *= sqrt2_inv; // normalize length of (q - p)
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dq *= sqrt2_inv; // normalize length of (q - p)
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}
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else
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{
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fG *= sqrt2_inv;
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}
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float fG = gradient_magnitude.at<float>(q);
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if (!isDiag)
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{
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fG *= sqrt2_inv;
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}
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if ((cost_p += weight_gradient_magnitude * fG) < cost_q)
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{
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const Point2f diff((float)(q.x - p.x), (float)(q.y - p.y));
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const Point2f Ip = gradient_direction(p);
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const Point2f Iq = gradient_direction(q);
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const Point2f Dp(Ip.y, -Ip.x); // D(p) - 90 degrees clockwise
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const Point2f Dq(Iq.y, -Iq.x); // D(q) - 90 degrees clockwise
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float dp = Dp.dot(diff); // dp(p, q)
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float dq = Dq.dot(diff); // dq(p, q)
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if (dp < 0)
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{
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dp = -dp; // ensure dp >= 0
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dq = -dq;
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}
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if (isDiag)
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{
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dp *= sqrt2_inv; // normalize length of (q - p)
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dq *= sqrt2_inv; // normalize length of (q - p)
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}
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#if 1
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int dp_i = cvFloor(dp * ACOS_TABLE_SIZE); // dp is in range 0..1
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dp_i = std::min(ACOS_TABLE_SIZE, std::max(0, dp_i));
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int dq_i = cvFloor(dq * ACOS_TABLE_SIZE); // dq is in range -1..1
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dq_i = std::min(ACOS_TABLE_SIZE, std::max(-ACOS_TABLE_SIZE, dq_i));
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const float fD = acos_table[dp_i + ACOS_TABLE_SIZE] + acos_table[dq_i + ACOS_TABLE_SIZE];
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int dp_i = cvFloor(dp * ACOS_TABLE_SIZE); // dp is in range 0..1
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dp_i = std::min(ACOS_TABLE_SIZE, std::max(0, dp_i));
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int dq_i = cvFloor(dq * ACOS_TABLE_SIZE); // dq is in range -1..1
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dq_i = std::min(ACOS_TABLE_SIZE, std::max(-ACOS_TABLE_SIZE, dq_i));
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const float fD = acos_table[dp_i + ACOS_TABLE_SIZE] + acos_table[dq_i + ACOS_TABLE_SIZE];
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#else
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const float CV_PI_inv = static_cast<float>(1.0 / CV_PI);
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const float fD = (acosf(dp) + acosf(dq)) * CV_PI_inv; // TODO optimize acos calls (through tables)
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const float CV_PI_inv = static_cast<float>(1.0 / CV_PI);
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const float fD = (acosf(dp) + acosf(dq)) * CV_PI_inv; // TODO optimize acos calls (through tables)
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#endif
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float cost =
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weight_non_edge_compute * non_edge_feature.at<uchar>(q) +
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weight_gradient_direction * fD +
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weight_gradient_magnitude * fG;
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return cost;
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cost_p += weight_gradient_direction * fD;
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}
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}
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return cost_p < cost_q;
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}
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struct Pix
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@ -625,8 +646,8 @@ struct IntelligentScissorsMB::Impl
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CV_DbgCheckLE(cost_q, cost_r, "INTERNAL ERROR: sorted queue is corrupted");
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#endif
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float cost = cost_q + local_cost(q, r); // TODO(opt): compute partially until cost < cost_r
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if (cost < cost_r)
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float cost = cost_q;
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if (add_local_cost(q, r, cost, cost_r))
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{
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#if 0 // avoid compiler warning
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if (cost_r != FLT_MAX)
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