mirror of https://github.com/status-im/qzxing.git
108 lines
4.8 KiB
C++
108 lines
4.8 KiB
C++
/*
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* PerspectiveTransform.cpp
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* zxing
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*
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* Created by Christian Brunschen on 12/05/2008.
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* Copyright 2008 Google UK. All rights reserved.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include <zxing/common/PerspectiveTransform.h>
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namespace zxing {
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using namespace std;
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PerspectiveTransform::PerspectiveTransform(float inA11, float inA21,
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float inA31, float inA12,
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float inA22, float inA32,
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float inA13, float inA23,
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float inA33) :
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a11(inA11), a12(inA12), a13(inA13), a21(inA21), a22(inA22), a23(inA23),
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a31(inA31), a32(inA32), a33(inA33) {}
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Ref<PerspectiveTransform> PerspectiveTransform::quadrilateralToQuadrilateral(float x0, float y0, float x1, float y1,
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float x2, float y2, float x3, float y3, float x0p, float y0p, float x1p, float y1p, float x2p, float y2p,
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float x3p, float y3p) {
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Ref<PerspectiveTransform> qToS = PerspectiveTransform::quadrilateralToSquare(x0, y0, x1, y1, x2, y2, x3, y3);
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Ref<PerspectiveTransform> sToQ =
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PerspectiveTransform::squareToQuadrilateral(x0p, y0p, x1p, y1p, x2p, y2p, x3p, y3p);
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return sToQ->times(qToS);
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}
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Ref<PerspectiveTransform> PerspectiveTransform::squareToQuadrilateral(float x0, float y0, float x1, float y1, float x2,
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float y2, float x3, float y3) {
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float dx3 = x0 - x1 + x2 - x3;
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float dy3 = y0 - y1 + y2 - y3;
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if (dx3 == 0.0f && dy3 == 0.0f) {
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Ref<PerspectiveTransform> result(new PerspectiveTransform(x1 - x0, x2 - x1, x0, y1 - y0, y2 - y1, y0, 0.0f,
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0.0f, 1.0f));
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return result;
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} else {
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float dx1 = x1 - x2;
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float dx2 = x3 - x2;
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float dy1 = y1 - y2;
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float dy2 = y3 - y2;
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float denominator = dx1 * dy2 - dx2 * dy1;
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float a13 = (dx3 * dy2 - dx2 * dy3) / denominator;
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float a23 = (dx1 * dy3 - dx3 * dy1) / denominator;
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Ref<PerspectiveTransform> result(new PerspectiveTransform(x1 - x0 + a13 * x1, x3 - x0 + a23 * x3, x0, y1 - y0
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+ a13 * y1, y3 - y0 + a23 * y3, y0, a13, a23, 1.0f));
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return result;
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}
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}
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Ref<PerspectiveTransform> PerspectiveTransform::quadrilateralToSquare(float x0, float y0, float x1, float y1, float x2,
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float y2, float x3, float y3) {
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// Here, the adjoint serves as the inverse:
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return squareToQuadrilateral(x0, y0, x1, y1, x2, y2, x3, y3)->buildAdjoint();
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}
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Ref<PerspectiveTransform> PerspectiveTransform::buildAdjoint() {
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// Adjoint is the transpose of the cofactor matrix:
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Ref<PerspectiveTransform> result(new PerspectiveTransform(a22 * a33 - a23 * a32, a23 * a31 - a21 * a33, a21 * a32
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- a22 * a31, a13 * a32 - a12 * a33, a11 * a33 - a13 * a31, a12 * a31 - a11 * a32, a12 * a23 - a13 * a22,
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a13 * a21 - a11 * a23, a11 * a22 - a12 * a21));
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return result;
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}
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Ref<PerspectiveTransform> PerspectiveTransform::times(Ref<PerspectiveTransform> other) {
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Ref<PerspectiveTransform> result(new PerspectiveTransform(a11 * other->a11 + a21 * other->a12 + a31 * other->a13,
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a11 * other->a21 + a21 * other->a22 + a31 * other->a23, a11 * other->a31 + a21 * other->a32 + a31
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* other->a33, a12 * other->a11 + a22 * other->a12 + a32 * other->a13, a12 * other->a21 + a22
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* other->a22 + a32 * other->a23, a12 * other->a31 + a22 * other->a32 + a32 * other->a33, a13
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* other->a11 + a23 * other->a12 + a33 * other->a13, a13 * other->a21 + a23 * other->a22 + a33
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* other->a23, a13 * other->a31 + a23 * other->a32 + a33 * other->a33));
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return result;
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}
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void PerspectiveTransform::transformPoints(vector<float> &points) {
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int max = points.size();
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for (int i = 0; i < max; i += 2) {
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float x = points[i];
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float y = points[i + 1];
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float denominator = a13 * x + a23 * y + a33;
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points[i] = (a11 * x + a21 * y + a31) / denominator;
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points[i + 1] = (a12 * x + a22 * y + a32) / denominator;
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}
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}
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ostream& operator<<(ostream& out, const PerspectiveTransform &pt) {
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out << pt.a11 << ", " << pt.a12 << ", " << pt.a13 << ", \n";
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out << pt.a21 << ", " << pt.a22 << ", " << pt.a23 << ", \n";
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out << pt.a31 << ", " << pt.a32 << ", " << pt.a33 << "\n";
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return out;
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}
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}
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