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This commit is contained in:
Andreas Fabri 2024-12-11 16:19:15 +00:00
parent 85723d0117
commit 73657575d0
1 changed files with 43 additions and 43 deletions
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86
Frechet_distance/include/CGAL/Frechet_naive.h
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@ -78,72 +78,72 @@ bool FrechetNaive<C>::lessThan(distance_t const& distance, Curve const& curve1,
{ {
using OptLambda = std::optional<Lambda>; using OptLambda = std::optional<Lambda>;
assert(curve1.size() >= 2); assert(curve1.size() >= 2);
assert(curve2.size() >= 2); assert(curve2.size() >= 2);
distance_t dist_sqr = distance * distance; distance_t dist_sqr = distance * distance;
if (CGAL::squared_distance(curve1[0],curve2[0]) > dist_sqr || CGAL::squared_distance(curve1.back(), curve2.back()) > dist_sqr) { return false; } if (CGAL::squared_distance(curve1[0],curve2[0]) > dist_sqr || CGAL::squared_distance(curve1.back(), curve2.back()) > dist_sqr) { return false; }
std::vector<std::vector<OptLambda>> reachable1(curve1.size()-1, std::vector<OptLambda>(curve2.size(), std::nullopt)); std::vector<std::vector<OptLambda>> reachable1(curve1.size()-1, std::vector<OptLambda>(curve2.size(), std::nullopt));
std::vector<std::vector<OptLambda>> reachable2(curve1.size(), std::vector<OptLambda>(curve2.size()-1, std::nullopt)); std::vector<std::vector<OptLambda>> reachable2(curve1.size(), std::vector<OptLambda>(curve2.size()-1, std::nullopt));
for (size_t i = 0; i < curve1.size() - 1; ++i) { for (size_t i = 0; i < curve1.size() - 1; ++i) {
reachable1[i][0] = 0.; reachable1[i][0] = 0.;
if (CGAL::squared_distance(curve2[0], curve1[i+1]) > dist_sqr) { break; } if (CGAL::squared_distance(curve2[0], curve1[i+1]) > dist_sqr) { break; }
} }
for (size_t j = 0; j < curve2.size() - 1; ++j) { for (size_t j = 0; j < curve2.size() - 1; ++j) {
reachable2[0][j] = 0.; reachable2[0][j] = 0.;
if (CGAL::squared_distance(curve1[0], curve2[j+1]) > dist_sqr) { break; } if (CGAL::squared_distance(curve1[0], curve2[j+1]) > dist_sqr) { break; }
} }
for (size_t i = 0; i < curve1.size(); ++i) { for (size_t i = 0; i < curve1.size(); ++i) {
for (size_t j = 0; j < curve2.size(); ++j) { for (size_t j = 0; j < curve2.size(); ++j) {
if (i < curve1.size() - 1 && j > 0) { if (i < curve1.size() - 1 && j > 0) {
Interval free_int = HLPred::intersection_interval(curve2, j, curve1, i, distance); Interval free_int = HLPred::intersection_interval(curve2, j, curve1, i, distance);
if (!free_int.is_empty()) { if (!free_int.is_empty()) {
if (reachable2[i][j-1]) { if (reachable2[i][j-1]) {
reachable1[i][j] = free_int.begin; reachable1[i][j] = free_int.begin;
} }
else if (reachable1[i][j-1] && reachable1[i][j-1] <= free_int.end) { else if (reachable1[i][j-1] && reachable1[i][j-1] <= free_int.end) {
reachable1[i][j] = CGAL::max(free_int.begin, reachable1[i][j-1].value()); reachable1[i][j] = CGAL::max(free_int.begin, reachable1[i][j-1].value());
} }
} }
} }
if (j < curve2.size() - 1 && i > 0) { if (j < curve2.size() - 1 && i > 0) {
Interval free_int = HLPred::intersection_interval(curve1, i, curve2, j, distance); Interval free_int = HLPred::intersection_interval(curve1, i, curve2, j, distance);
if (!free_int.is_empty()) { if (!free_int.is_empty()) {
if (reachable1[i-1][j]) { if (reachable1[i-1][j]) {
reachable2[i][j] = free_int.begin; reachable2[i][j] = free_int.begin;
} }
else if (reachable2[i-1][j] && reachable2[i-1][j] <= free_int.end) { else if (reachable2[i-1][j] && reachable2[i-1][j] <= free_int.end) {
reachable2[i][j] = CGAL::max(free_int.begin, reachable2[i-1][j].value()); reachable2[i][j] = CGAL::max(free_int.begin, reachable2[i-1][j].value());
} }
} }
} }
} }
} }
assert((bool)reachable1.back().back() == (bool)reachable2.back().back()); assert((bool)reachable1.back().back() == (bool)reachable2.back().back());
return (bool)reachable1.back().back(); return (bool)reachable1.back().back();
} }
template <typename C> template <typename C>
std::pair<double,double> FrechetNaive<C>::calcDistance(Curve const& curve1, Curve const& curve2, double epsilon) std::pair<double,double> FrechetNaive<C>::calcDistance(Curve const& curve1, Curve const& curve2, double epsilon)
{ {
double min = 0.; double min = 0.;
double max = curve1.getUpperBoundDistance(curve2).sup(); double max = curve1.getUpperBoundDistance(curve2).sup();
while (max - min >= epsilon) { while (max - min >= epsilon) {
auto split = (max + min)/2.; auto split = (max + min)/2.;
if (lessThan(split, curve1, curve2)) { if (lessThan(split, curve1, curve2)) {
max = split; max = split;
} }
else { else {
min = split; min = split;
} }
} }
return std::make_pair(min, max); return std::make_pair(min, max);
} }
} // namespace internal } // namespace internal