bspline_data.h

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/*
Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho
All rights reserved.

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are permitted provided that the following conditions are met:

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Neither the name of the Johns Hopkins University nor the names of its contributors
may be used to endorse or promote products derived from this software without specific
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*/

#ifndef BSPLINE_DATA_INCLUDED
#define BSPLINE_DATA_INCLUDED


#include "ppolynomial.h"

namespace pcl
{
  namespace poisson
  {


    template< int Degree , class Real >
    class BSplineData
    {
        bool useDotRatios;
        bool reflectBoundary;
      public:
        struct BSplineComponents
        {
            Polynomial< Degree > polys[Degree+1];
            Polynomial< Degree >& operator[] ( int idx ) { return polys[idx]; }
            const Polynomial< Degree >& operator[] ( int idx ) const { return polys[idx]; }
            void printnl( void ) const  { for( int d=0 ; d<=Degree ; d++ ) polys[d].printnl(); }
            BSplineComponents scale( double s ) const { BSplineComponents b ; for( int d=0 ; d<=Degree ; d++ ) b[d] = polys[d].scale(s) ; return b; }
            BSplineComponents shift( double s ) const { BSplineComponents b ; for( int d=0 ; d<=Degree ; d++ ) b[d] = polys[d].shift(s) ; return b; }
        };
        const static int  VV_DOT_FLAG = 1;
        const static int  DV_DOT_FLAG = 2;
        const static int  DD_DOT_FLAG = 4;
        const static int   VALUE_FLAG = 1;
        const static int D_VALUE_FLAG = 2;

        int depth , functionCount , sampleCount;
        Real *vvDotTable , *dvDotTable , *ddDotTable;
        Real *valueTables , *dValueTables;
        PPolynomial< Degree   >  baseFunction ,  leftBaseFunction ,  rightBaseFunction;
        PPolynomial< Degree-1 > dBaseFunction , dLeftBaseFunction , dRightBaseFunction;
        BSplineComponents baseBSpline, leftBSpline , rightBSpline;
        PPolynomial<Degree>* baseFunctions;
        BSplineComponents* baseBSplines;

        BSplineData(void);
        ~BSplineData(void);

        virtual void   setDotTables( int flags );
        virtual void clearDotTables( int flags );

        virtual void   setValueTables( int flags,double smooth=0);
        virtual void   setValueTables( int flags,double valueSmooth,double normalSmooth);
        virtual void clearValueTables(void);

        void setSampleSpan( int idx , int& start , int& end , double smooth=0 ) const;

        /********************************************************
   * Sets the translates and scales of the basis function
   * up to the prescribed depth
   * <maxDepth> the maximum depth
   * <useDotRatios> specifies if dot-products of derivatives
   * should be pre-divided by function integrals
   * <reflectBoundary> spcifies if function space should be
   * forced to be reflectively symmetric across the boundary
   ********************************************************/
        void set( int maxDepth , bool useDotRatios=true , bool reflectBoundary=false );

        inline int Index( int i1 , int i2 ) const;
        static inline int SymmetricIndex( int i1 , int i2 );
        static inline int SymmetricIndex( int i1 , int i2 , int& index  );
    };

    template< int Degree >
    struct BSplineElementCoefficients
    {
        int coeffs[Degree+1];
        BSplineElementCoefficients( void ) { memset( coeffs , 0 , sizeof( int ) * ( Degree+1 ) ); }
        int& operator[]( int idx ){ return coeffs[idx]; }
        const int& operator[]( int idx ) const { return coeffs[idx]; }
    };
    template< int Degree >
    struct BSplineElements : public std::vector< BSplineElementCoefficients< Degree > >
    {
        static const int _off = (Degree+1)/2;
        void _addLeft ( int offset , int boundary );
        void _addRight( int offset , int boundary );
      public:
        enum
        {
          NONE      =  0,
          DIRICHLET = -1,
          NEUMANN   =  1
        };
        // Coefficients are ordered as "/" "-" "\"
        int denominator;

        BSplineElements( void ) { denominator = 1; }
        BSplineElements( int res , int offset , int boundary=NONE );

        void upSample( BSplineElements& high ) const;
        void differentiate( BSplineElements< Degree-1 >& d ) const;

        void print( FILE* fp=stdout ) const
        {
          for( int i=0 ; i<this->size() ; i++ )
          {
            printf( "%d]" , i );
            for( int j=0 ; j<=Degree ; j++ ) printf( " %d" , (*this)[i][j] );
            printf( " (%d)\n" , denominator );
          }
        }
    };
    template< int Degree1 , int Degree2 > void SetBSplineElementIntegrals( double integrals[Degree1+1][Degree2+1] );


  }
}


#include "bspline_data.hpp"

#endif // BSPLINE_DATA_INCLUDED