/usr/include/osgEarthUtil/LODBlending is in libosgearth-dev 2.5.0+dfsg-2+b2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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/* osgEarth - Dynamic map generation toolkit for OpenSceneGraph
* Copyright 2008-2012 Pelican Mapping
* http://osgearth.org
*
* osgEarth is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this program.  If not, see <http://www.gnu.org/licenses/>
*/
#ifndef OSGEARTHUTIL_LOD_BLENDING_H
#define OSGEARTHUTIL_LOD_BLENDING_H
#include <osgEarthUtil/Common>
#include <osgEarth/TerrainEffect>
#include <osg/Uniform>
#include <osg/Node>
#include <osg/observer_ptr>
namespace osgEarth { namespace Util
{
    /**
     * Terrain effect that blends terrain levels of detail for a 
     * smooth transition effect. Operates on elevation data and
     * image data.
     *
     * Known limitation: LOD blending requires either (a) a fully-textured
     * terrain, by way of a base layer that completely covers the map; or
     * (b) a transparent globe color. It will not work properly with
     * untextures (but colored) terrain tiles.
     */
    class OSGEARTHUTIL_EXPORT LODBlending : public TerrainEffect
    {
    public:
        /** construct a new blending effect */
        LODBlending();
        /** Sets the delay (in seconds) between the time the tile appears
            and when it starts its transition */
        void setDelay( float value );
        float getDelay() const { return _delay.get(); }
        /** Sets the duration of the transition */
        void setDuration( float value );
        float getDuration() const { return _duration.get(); }
        /** Vertical scale factor to apply to elevation */
        void setVerticalScale( float value );
        float getVerticalScale() const { return _vscale.get(); }
    public: // TerrainEffect interface
        void onInstall(TerrainEngineNode* engine);
        void onUninstall(TerrainEngineNode* engine);
    public: // serialization
        LODBlending(const Config& conf);
        void mergeConfig(const Config& conf);
        virtual Config getConfig() const;
    protected:
        virtual ~LODBlending() { }
        void init();
        optional<float>              _delay;
        optional<float>              _duration;
        optional<float>              _vscale;
        osg::ref_ptr<osg::Uniform>   _delayUniform;
        osg::ref_ptr<osg::Uniform>   _durationUniform;
        osg::ref_ptr<osg::Uniform>   _vscaleUniform;
    };
} } // namespace osgEarth::Util
#endif // OSGEARTHUTIL_LOD_BLENDING_H
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