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    /** The connectivity kernel is basically an aggregate of ItemVectors for vertices, faces, and halfedges.
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    /** The connectivity kernel is basically an aggregate of ItemVectors for vertices, faces, and halfedges.
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     This class contains no geometry information - only information about connectivitiy. Arguably it abstracts
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     This class contains no geometry information - only information about connectivitiy. Arguably it abstracts
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     away the implementation from the ConnectivityKernel class making it possible, for instance, to use a different kernel. */
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     away the implementation from the ConnectivityKernel class making it possible, for instance, to use a different kernel. */
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    class ConnectivityKernel
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    class ConnectivityKernel
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    {
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    {
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        friend class Walker;
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    public:
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    public:
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        /// number of active vertices in kernel
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        /// number of active vertices in kernel
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        size_t no_vertices() const;
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        size_t no_vertices() const;
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        /// number of active faces in kernel
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        /// number of active faces in kernel
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        /// get the ID of vertex pointed to by current halfedge ID
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        /// get the ID of vertex pointed to by current halfedge ID
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        VertexID vert(HalfEdgeID id) const;
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        VertexID vert(HalfEdgeID id) const;
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        /// get the ID of face owning current halfedge ID
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        /// get the ID of face owning current halfedge ID
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        FaceID face(HalfEdgeID id) const;
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        FaceID face(HalfEdgeID id) const;
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    protected:
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        /// add vertex to kernel
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        /// add vertex to kernel
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        VertexID add_vertex();
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        VertexID add_vertex();
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        /// add face to kernel
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        /// add face to kernel
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        FaceID add_face();
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        FaceID add_face();
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        /// add halfedge to kernel
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        /// add halfedge to kernel
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        /// set the ID of vertex pointed to by current halfedge to vert
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        /// set the ID of vertex pointed to by current halfedge to vert
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        void set_vert(HalfEdgeID current, VertexID vert);
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        void set_vert(HalfEdgeID current, VertexID vert);
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        /// set the ID of face owning current halfedge to face
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        /// set the ID of face owning current halfedge to face
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        void set_face(HalfEdgeID current, FaceID face);
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        void set_face(HalfEdgeID current, FaceID face);
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        /// Clean up unused space in vectors - WARNING! Invalidates existing handles!
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        /// Clean up unused space in vectors - WARNING! Invalidates existing handles!
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        void cleanup(IDRemap& map);
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        void cleanup(IDRemap& map);
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        /// clear the kernel
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        /// clear the kernel
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        void clear();
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        void clear();
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    private:
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        ItemVector<Vertex> vertices;
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        ItemVector<Vertex> vertices;
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        ItemVector<Face> faces;
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        ItemVector<Face> faces;
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        ItemVector<HalfEdge> halfedges;
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        ItemVector<HalfEdge> halfedges;
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    };
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    };