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OnlineHandwritingPicture.cpp
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OnlineHandwritingPicture.cpp
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#include "OnlineHandwritingPicture.h"
#include "signature.h"
OnlineHandwritingPicture::OnlineHandwritingPicture(
int renderSize, OnlineHandwritingEncoding enc, int label, float penSpeed3d)
: enc(enc), renderSize(renderSize), Picture(label), offset3d(0),
penSpeed3d(penSpeed3d) {}
OnlineHandwritingPicture::~OnlineHandwritingPicture() {}
void OnlineHandwritingPicture::normalize() { // Fit centrally in the cube
// [-renderSize/2,renderSize/2]^2
arma::mat pointsm(ops.size(), 2);
arma::mat pointsM(ops.size(), 2);
for (int i = 0; i < ops.size(); ++i) {
pointsm.row(i) = arma::min(ops[i], 0);
pointsM.row(i) = arma::max(ops[i], 0);
}
pointsm = arma::min(pointsm, 0);
pointsM = arma::max(pointsM, 0);
float scale = arma::mat(pointsM - pointsm).max();
assert(scale > 0);
for (int i = 0; i < ops.size(); ++i) {
ops[i] = ops[i] - arma::repmat(0.5 * (pointsm + pointsM), ops[i].n_rows, 1);
ops[i] *= renderSize / scale;
}
}
arma::mat constantSpeed(arma::mat &stroke, float density, int multiplier = 1) {
std::vector<float> lengths(stroke.n_rows);
lengths[0] = 0;
for (int i = 1; i < stroke.n_rows; i++) {
lengths[i] =
lengths[i - 1] + pow(pow(stroke(i, 0) - stroke(i - 1, 0), 2) +
pow(stroke(i, 1) - stroke(i - 1, 1), 2),
0.5);
}
float lTotal = lengths[stroke.n_rows - 1];
int n = (int)(0.5 + lTotal / density);
n *= multiplier;
arma::mat r(n + 1, 2);
int j = 0;
float alpha;
r(0, 0) = stroke(0, 0);
r(0, 1) = stroke(0, 1);
for (int i = 1; i <= n; i++) {
while (n * lengths[j + 1] < i * lTotal)
j++;
alpha = (lengths[j + 1] - i * lTotal / n) / (lengths[j + 1] - lengths[j]);
r(i, 0) = stroke(j, 0) * alpha + stroke(j + 1, 0) * (1 - alpha);
r(i, 1) = stroke(j, 1) * alpha + stroke(j + 1, 1) * (1 - alpha);
}
return r;
}
std::vector<std::vector<float>>
signatureWindows(arma::mat &path, int logSigDepth, int windowSize) {
std::vector<std::vector<float>> sW(path.n_rows);
std::vector<float> repPath;
for (int i = 0; i < path.n_rows; ++i) {
repPath.push_back(i);
repPath.push_back(path(i, 0));
repPath.push_back(path(i, 1));
}
for (int i = 0; i < path.size(); ++i) {
sW[i].resize(logsigdim(3, logSigDepth));
int first = std::max(0, i - windowSize);
int last = std::min((int)path.size() - 1, i + windowSize);
logSignature(&repPath[3 * first], last - first + 1, 3, logSigDepth,
&sW[i][0]);
}
return sW;
}
int mapToGrid(float coord, int scale_N) {
return std::max(0, std::min(scale_N - 1, (int)(coord + 0.5 * scale_N)));
}
int maxLength = 0;
void OnlineHandwritingPicture::codifyInputData(SparseGrid &grid,
std::vector<float> &features,
int &nSpatialSites,
int spatialSize) {
int nInputFeatures = OnlineHandwritingEncodingSize[enc];
// Background feature
grid.backgroundCol = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
int logSigDepth;
// Render character
switch (enc) {
case Simple:
for (int i = 0; i < ops.size(); i++) {
arma::mat csp = constantSpeed(ops[i], 0.1);
for (int j = 0; j < csp.n_rows; ++j) {
int a0 = csp(j, 0) + spatialSize / 2.0,
a1 = csp(j, 1) + spatialSize / 2.0;
if (a0 >= 0 and a1 >= 0 and a0 < spatialSize and a1 < spatialSize) {
int n = a0 * spatialSize + a1;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
}
++features[grid.mp[n]];
// std::cout <<"."<<std::flush;
} // else std::cout <<"x"<<std::flush;
}
}
break;
case Octogram: {
float piBy4 = 3.1415926536 / 4;
for (int i = 0; i < ops.size(); i++) {
arma::mat csp = constantSpeed(ops[i], 0.1);
for (int j = 0; j < csp.n_rows - 1; ++j) {
int a0 = csp(j, 0) + spatialSize / 2.0,
a1 = csp(j, 1) + spatialSize / 2.0;
if (a0 >= 0 and a1 >= 0 and a0 < spatialSize and a1 < spatialSize) {
int n = a0 * spatialSize + a1;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
}
int mpnnIF = nInputFeatures * grid.mp[n];
float dx = (csp(j + 1, 0) - csp(j, 0));
float dy = (csp(j + 1, 1) - csp(j, 1));
float m = powf(dx * dx + dy * dy, 0.5);
dx /= m;
dy /= m;
for (int k = 0; k < 8; k++) {
float alpha =
1 - acosf(cosf(k * piBy4) * dx + sinf(k * piBy4) * dy) / piBy4;
if (alpha > 0)
features[mpnnIF + k] += alpha;
}
}
}
}
} break;
case UndirectedOctogram: {
float piBy4 = 3.1415926536 / 4;
for (int i = 0; i < ops.size(); i++) {
arma::mat csp = constantSpeed(ops[i], 0.1);
for (int j = 0; j < csp.n_rows - 1; ++j) {
int a0 = csp(j, 0) + spatialSize / 2.0,
a1 = csp(j, 1) + spatialSize / 2.0;
if (a0 >= 0 and a1 >= 0 and a0 < spatialSize and a1 < spatialSize) {
int n = a0 * spatialSize + a1;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
}
int mpnnIF = nInputFeatures * grid.mp[n];
float dx = (csp(j + 1, 0) - csp(j, 0));
float dy = (csp(j + 1, 1) - csp(j, 1));
float m = powf(dx * dx + dy * dy, 0.5);
dx /= m;
dy /= m;
for (int k = 0; k < 4; k++) {
float alpha =
1 -
acosf(fabs(cosf(k * piBy4) * dx + sinf(k * piBy4) * dy)) /
piBy4;
if (alpha > 0)
features[mpnnIF + k] += alpha;
}
}
}
}
} break;
case LogSignature1:
logSigDepth = 1; // todo: test
case LogSignature2:
logSigDepth = 2;
case LogSignature3:
logSigDepth = 3;
case LogSignature4:
logSigDepth = 4;
{
int windowSize = 4;
float scale = renderSize / 5;
int multiplier = std::max((int)(2 * scale + 0.5), 1);
// Todo
for (int i = 0; i < ops.size(); i++) {
arma::mat CSP = constantSpeed(ops[i], scale, 1);
arma::mat csp = constantSpeed(ops[i], scale, multiplier);
std::vector<std::vector<float>> sW =
signatureWindows(CSP, logSigDepth, windowSize);
for (int j = 0; j < csp.n_rows; ++j) {
int J = j / multiplier;
int a0 = csp(j, 0) + spatialSize / 2.0,
a1 = csp(j, 1) + spatialSize / 2.0;
if (a0 >= 0 and a1 >= 0 and a0 < spatialSize and a1 < spatialSize) {
int n = a0 * spatialSize + a1;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
for (int k = 0; k < nInputFeatures; k++)
features.push_back(sW[J][k]);
}
}
}
}
}
break;
case SpaceTime3d: {
std::vector<arma::mat> csp;
int cspLengths = 0;
for (int i = 0; i < ops.size(); i++) {
csp.push_back(constantSpeed(ops[i], 0.1));
cspLengths += csp[i].n_rows;
}
// if (cspLengths>maxLength) {
// std::cout <<cspLengths*penSpeed3d << " " << std::flush;
// maxLength=cspLengths;
// }
int z = 0;
for (int i = 0; i < ops.size(); i++) {
for (int j = 0; j < csp[i].n_rows; ++j) {
int a0 = csp[i](j, 0) + spatialSize / 2.0,
a1 = csp[i](j, 1) + spatialSize / 2.0,
a2 = renderSize * ((z - cspLengths / 2) * penSpeed3d + offset3d) +
spatialSize / 2;
z++;
if (a0 >= 0 and a1 >= 0 and a2 >= 0 and a0 < spatialSize and
a1 < spatialSize and a2 < spatialSize) {
int n = a0 * spatialSize * spatialSize + a1 * spatialSize + a2;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
}
++features[grid.mp[n]];
}
}
}
} break;
case VectorSpaceTime3d: {
std::vector<arma::mat> csp;
int cspLengths = 0;
for (int i = 0; i < ops.size(); i++) {
csp.push_back(constantSpeed(ops[i], 0.1));
cspLengths += csp[i].n_rows;
}
// if (cspLengths>maxLength) {
// std::cout << cspLengths*penSpeed3d << " " << std::flush;
// maxLength=cspLengths;
// }
int z = 0;
for (int i = 0; i < ops.size(); i++) {
for (int j = 0; j < csp[i].n_rows - 1; ++j) {
int a0 = csp[i](j, 0) + spatialSize / 2.0,
a1 = csp[i](j, 1) + spatialSize / 2.0,
a2 = renderSize * ((z - cspLengths / 2) * penSpeed3d + offset3d) +
spatialSize / 2;
z++;
if (a0 >= 0 and a1 >= 0 and a2 >= 0 and a0 < spatialSize and
a1 < spatialSize and a2 < spatialSize) {
int n = a0 * spatialSize * spatialSize + a1 * spatialSize + a2;
if (grid.mp.find(n) == grid.mp.end()) {
grid.mp[n] = nSpatialSites++;
features.resize(nInputFeatures * nSpatialSites, 0);
}
int mpnnIF = nInputFeatures * grid.mp[n];
features[mpnnIF]++;
float dx = (csp[i](j + 1, 0) - csp[i](j, 0));
float dy = (csp[i](j + 1, 1) - csp[i](j, 1));
float m = powf(dx * dx + dy * dy, 0.5);
dx /= m;
dy /= m;
features[mpnnIF + 1] += dx;
features[mpnnIF + 2] += dy;
}
}
}
} break;
}
}
void OnlineHandwritingPicture::draw(int spatialSize) {
std::vector<char> grid(spatialSize * spatialSize, ' ');
for (int i = 0; i < ops.size(); i++) {
arma::mat csp = constantSpeed(ops[i], 0.1);
for (int j = 0; j < csp.n_rows; ++j) {
int a0 = csp(j, 0) + spatialSize / 2.0,
a1 = csp(j, 1) + spatialSize / 2.0;
if (a0 >= 0 and a1 >= 0 and a0 < spatialSize and a1 < spatialSize) {
int n = a0 * spatialSize + a1;
grid[n] = 'x';
}
}
}
for (int x = 0; x < spatialSize; x++)
std::cout << "--";
std::cout << "|\n";
for (int y = 0; y < spatialSize; y++) {
for (int x = 0; x < spatialSize; x++)
std::cout << grid[x * spatialSize + y] << grid[x * spatialSize + y];
std::cout << "|\n";
}
for (int x = 0; x < spatialSize; x++)
std::cout << "--";
std::cout << "|\n";
}