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// Copyright 2011, Andrew Ross // // Use, modification and distribution are subject to the Boost Software License, // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt). #ifndef BOOST_POLYGON_DETAIL_SIMPLIFY_HPP #define BOOST_POLYGON_DETAIL_SIMPLIFY_HPP #include namespace boost { namespace polygon { namespace detail { namespace simplify_detail { // Does a simplification/optimization pass on the polygon. If a given // vertex lies within "len" of the line segment joining its neighbor // vertices, it is removed. template //T is a model of point concept std::size_t simplify(std::vector& dst, const std::vector& src, typename coordinate_traits< typename point_traits::coordinate_type >::coordinate_distance len) { using namespace boost::polygon; typedef typename point_traits::coordinate_type coordinate_type; typedef typename coordinate_traits::area_type ftype; typedef typename std::vector::const_iterator iter; std::vector out; out.reserve(src.size()); dst = src; std::size_t final_result = 0; std::size_t orig_size = src.size(); //I can't use == if T doesn't provide it, so use generic point concept compare bool closed = equivalence(src.front(), src.back()); //we need to keep smoothing until we don't find points to remove //because removing points in the first iteration through the //polygon may leave it in a state where more removal is possible bool not_done = true; while(not_done) { if(dst.size() < 3) { dst.clear(); return orig_size; } // Start with the second, test for the last point // explicitly, and exit after looping back around to the first. ftype len2 = ftype(len) * ftype(len); for(iter prev=dst.begin(), i=prev+1, next; /**/; i = next) { next = i+1; if(next == dst.end()) next = dst.begin(); // points A, B, C ftype ax = x(*prev), ay = y(*prev); ftype bx = x(*i), by = y(*i); ftype cx = x(*next), cy = y(*next); // vectors AB, BC and AC: ftype abx = bx-ax, aby = by-ay; ftype bcx = cx-bx, bcy = cy-by; ftype acx = cx-ax, acy = cy-ay; // dot products ftype ab_ab = abx*abx + aby*aby; ftype bc_bc = bcx*bcx + bcy*bcy; ftype ac_ac = acx*acx + acy*acy; ftype ab_ac = abx*acx + aby*acy; // projection of AB along AC ftype projf = ab_ac / ac_ac; ftype projx = acx * projf, projy = acy * projf; // perpendicular vector from the line AC to point B (i.e. AB - proj) ftype perpx = abx - projx, perpy = aby - projy; // Squared fractional distance of projection. FIXME: can // remove this division, the decisions below can be made with // just the sign of the quotient and a check to see if // abs(numerator) is greater than abs(divisor). ftype f2 = (projx*acx + projy*acx) / ac_ac; // Square of the relevant distance from point B: ftype dist2; if (f2 < 0) dist2 = ab_ab; else if(f2 > 1) dist2 = bc_bc; else dist2 = perpx*perpx + perpy*perpy; if(dist2 > len2) { prev = i; // bump prev, we didn't remove the segment out.push_back(*i); } if(i == dst.begin()) break; } std::size_t result = dst.size() - out.size(); if(result == 0) { not_done = false; } else { final_result += result; dst = out; out.clear(); } } //end of while loop if(closed) { //if the input was closed we want the output to be closed --final_result; dst.push_back(dst.front()); } return final_result; } }}}} #endif