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60 lines
1.9 KiB
60 lines
1.9 KiB
#ifndef MEDUSA_BITS_INTERPOLANTS_SHEPPARD_HPP_
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#define MEDUSA_BITS_INTERPOLANTS_SHEPPARD_HPP_
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/**
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* @file
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* Implementation of SheppardInterpolant class.
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*/
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#include <medusa/bits/utils/assert.hpp>
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#include <medusa/bits/utils/numutils.hpp>
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#include "Sheppard_fwd.hpp"
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namespace mm {
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template <class vec_t, class value_t>
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value_t SheppardInterpolant<vec_t, value_t>::operator()(const vec_t& point, int num_closest,
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int power, double reg,
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double conf_dist) const {
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int N = tree.size();
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int M = values.size();
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assert_msg(N == M && N >= 0,
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"Missing or wrong number of positions/values. Did you forget to call setValues() or "
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"setPositions()?");
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assert_msg(num_closest >= 0, "Number of closest nodes should be greater than 0, got %d.",
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num_closest);
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assert_msg(reg >= 0, "Regularization parameter should be greater than 0, got %e.", reg);
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assert_msg(power >= 0, "Power should be greater than 0, got %e.", power);
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assert_msg(num_closest <= N, "You requested %d closest points, but there are only %d in total.",
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num_closest, N);
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Range<value_t> d2; // Squares of distances.
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Range<int> idx; // Closest nodes indexes.
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std::tie(idx, d2) = tree.query(point, num_closest);
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int n = idx.size();
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scalar_t s = 0.0, r = 0.0;
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Range<scalar_t> inv_dist(n);
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if (d2[0] < conf_dist * conf_dist) {
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// Point is close to the tree point, thus return value in node.
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return values[idx[0]];
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}
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for (int i = 0; i < n; ++i) {
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inv_dist[i] = 1.0 / (sqrt(ipow(d2[i], power)) + reg);
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s += inv_dist[i];
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}
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for (int i = 0; i < n; ++i) {
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inv_dist[i] /= s;
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}
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for (int i = 0; i < n; ++i) {
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r += inv_dist[i] * values[idx[i]];
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}
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return r;
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}
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} // namespace mm
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#endif // MEDUSA_BITS_INTERPOLANTS_SHEPPARD_HPP_
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