数据平滑算法

来源：互联网发布：软件是做什么的编辑：程序博客网时间：2024/06/09 18:58

不多说了，下面贴代码。首先是线性拟合平滑处理的代码. 分别为三点线性平滑、五点线性平滑和七点线性平滑。

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text-decoration: none;"> 73</a><a target=_blank id="L74" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L74" rel="#L74" style="color: rgb(102, 102, 102); text-decoration: none;"> 74</a><a target=_blank id="L75" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L75" rel="#L75" style="color: rgb(102, 102, 102); text-decoration: none;"> 75</a><a target=_blank id="L76" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L76" rel="#L76" style="color: rgb(102, 102, 102); text-decoration: none;"> 76</a><a target=_blank id="L77" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L77" rel="#L77" style="color: rgb(102, 102, 102); text-decoration: none;"> 77</a><a target=_blank id="L78" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L78" rel="#L78" style="color: rgb(102, 102, 102); text-decoration: none;"> 78</a><a target=_blank id="L79" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L79" rel="#L79" style="color: rgb(102, 102, 102); text-decoration: none;"> 79</a><a target=_blank id="L80" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L80" rel="#L80" style="color: rgb(102, 102, 102); text-decoration: none;"> 80</a><a target=_blank id="L81" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L81" rel="#L81" style="color: rgb(102, 102, 102); text-decoration: none;"> 81</a><a target=_blank id="L82" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L82" rel="#L82" style="color: rgb(102, 102, 102); text-decoration: none;"> 82</a>void linearSmooth3 ( double in[], double out[], int N )
{
    int i;
    if ( N < 3 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 5.0 * in[0] + 2.0 * in[1] - in[2] ) / 6.0;
        for ( i = 1; i <= N - 2; i++ )
        {
            out[i] = ( in[i - 1] + in[i] + in[i + 1] ) / 3.0;
        }
        out[N - 1] = ( 5.0 * in[N - 1] + 2.0 * in[N - 2] - in[N - 3] ) / 6.0;
    }
}
void linearSmooth5 ( double in[], double out[], int N )
{
    int i;
    if ( N < 5 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 3.0 * in[0] + 2.0 * in[1] + in[2] - in[4] ) / 5.0;
        out[1] = ( 4.0 * in[0] + 3.0 * in[1] + 2 * in[2] + in[3] ) / 10.0;
        for ( i = 2; i <= N - 3; i++ )
        {
            out[i] = ( in[i - 2] + in[i - 1] + in[i] + in[i + 1] + in[i + 2] ) / 5.0;
        }
        out[N - 2] = ( 4.0 * in[N - 1] + 3.0 * in[N - 2] + 2 * in[N - 3] + in[N - 4] ) / 10.0;
        out[N - 1] = ( 3.0 * in[N - 1] + 2.0 * in[N - 2] + in[N - 3] - in[N - 5] ) / 5.0;
    }
}
void linearSmooth7 ( double in[], double out[], int N )
{
    int i;
    if ( N < 7 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 13.0 * in[0] + 10.0 * in[1] + 7.0 * in[2] + 4.0 * in[3] +
                  in[4] - 2.0 * in[5] - 5.0 * in[6] ) / 28.0;
        out[1] = ( 5.0 * in[0] + 4.0 * in[1] + 3 * in[2] + 2 * in[3] +
                  in[4] - in[6] ) / 14.0;
        out[2] = ( 7.0 * in[0] + 6.0 * in [1] + 5.0 * in[2] + 4.0 * in[3] +
                  3.0 * in[4] + 2.0 * in[5] + in[6] ) / 28.0;
        for ( i = 3; i <= N - 4; i++ )
        {
            out[i] = ( in[i - 3] + in[i - 2] + in[i - 1] + in[i] + in[i + 1] + in[i + 2] + in[i + 3] ) / 7.0;
        }
        out[N - 3] = ( 7.0 * in[N - 1] + 6.0 * in [N - 2] + 5.0 * in[N - 3] +
                      4.0 * in[N - 4] + 3.0 * in[N - 5] + 2.0 * in[N - 6] + in[N - 7] ) / 28.0;
        out[N - 2] = ( 5.0 * in[N - 1] + 4.0 * in[N - 2] + 3.0 * in[N - 3] +
                      2.0 * in[N - 4] + in[N - 5] - in[N - 7] ) / 14.0;
        out[N - 1] = ( 13.0 * in[N - 1] + 10.0 * in[N - 2] + 7.0 * in[N - 3] +
                      4 * in[N - 4] + in[N - 5] - 2 * in[N - 6] - 5 * in[N - 7] ) / 28.0;
    }
}

来自CODE的代码片
linearSmooth.c

然后是利用二次函数拟合平滑。

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text-decoration: none;"> 49</a><a target=_blank id="L50" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L50" rel="#L50" style="color: rgb(102, 102, 102); text-decoration: none;"> 50</a><a target=_blank id="L51" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L51" rel="#L51" style="color: rgb(102, 102, 102); text-decoration: none;"> 51</a><a target=_blank id="L52" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L52" rel="#L52" style="color: rgb(102, 102, 102); text-decoration: none;"> 52</a><a target=_blank id="L53" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L53" rel="#L53" style="color: rgb(102, 102, 102); text-decoration: none;"> 53</a><a target=_blank id="L54" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L54" rel="#L54" style="color: rgb(102, 102, 102); text-decoration: none;"> 54</a><a target=_blank id="L55" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L55" rel="#L55" style="color: rgb(102, 102, 102); text-decoration: none;"> 55</a><a target=_blank id="L56" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L56" rel="#L56" style="color: rgb(102, 102, 102); text-decoration: none;"> 56</a><a target=_blank id="L57" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L57" rel="#L57" style="color: rgb(102, 102, 102); text-decoration: none;"> 57</a><a target=_blank id="L58" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L58" rel="#L58" style="color: rgb(102, 102, 102); text-decoration: none;"> 58</a><a target=_blank id="L59" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L59" rel="#L59" style="color: rgb(102, 102, 102); text-decoration: none;"> 59</a><a target=_blank id="L60" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L60" rel="#L60" style="color: rgb(102, 102, 102); text-decoration: none;"> 60</a><a target=_blank id="L61" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L61" rel="#L61" style="color: rgb(102, 102, 102); text-decoration: none;"> 61</a>void quadraticSmooth5(double in[], double out[], int N)
{
    int i;
    if ( N < 5 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 31.0 * in[0] + 9.0 * in[1] - 3.0 * in[2] - 5.0 * in[3] + 3.0 * in[4] ) / 35.0;
        out[1] = ( 9.0 * in[0] + 13.0 * in[1] + 12 * in[2] + 6.0 * in[3] - 5.0 *in[4]) / 35.0;
        for ( i = 2; i <= N - 3; i++ )
        {
            out[i] = ( - 3.0 * (in[i - 2] + in[i + 2]) +
                      12.0 * (in[i - 1] + in[i + 1]) + 17 * in[i] ) / 35.0;
        }
        out[N - 2] = ( 9.0 * in[N - 1] + 13.0 * in[N - 2] + 12.0 * in[N - 3] + 6.0 * in[N - 4] - 5.0 * in[N - 5] ) / 35.0;
        out[N - 1] = ( 31.0 * in[N - 1] + 9.0 * in[N - 2] - 3.0 * in[N - 3] - 5.0 * in[N - 4] + 3.0 * in[N - 5]) / 35.0;
    }
}
void quadraticSmooth7(double in[], double out[], int N)
{
    int i;
    if ( N < 7 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 32.0 * in[0] + 15.0 * in[1] + 3.0 * in[2] - 4.0 * in[3] -
                  6.0 * in[4] - 3.0 * in[5] + 5.0 * in[6] ) / 42.0;
        out[1] = ( 5.0 * in[0] + 4.0 * in[1] + 3.0 * in[2] + 2.0 * in[3] +
                  in[4] - in[6] ) / 14.0;
        out[2] = ( 1.0 * in[0] + 3.0 * in [1] + 4.0 * in[2] + 4.0 * in[3] +
                  3.0 * in[4] + 1.0 * in[5] - 2.0 * in[6] ) / 14.0;
        for ( i = 3; i <= N - 4; i++ )
        {
            out[i] = ( -2.0 * (in[i - 3] + in[i + 3]) +
                       3.0 * (in[i - 2] + in[i + 2]) +
                      6.0 * (in[i - 1] + in[i + 1]) + 7.0 * in[i] ) / 21.0;
        }
        out[N - 3] = ( 1.0 * in[N - 1] + 3.0 * in [N - 2] + 4.0 * in[N - 3] +
                      4.0 * in[N - 4] + 3.0 * in[N - 5] + 1.0 * in[N - 6] - 2.0 * in[N - 7] ) / 14.0;
        out[N - 2] = ( 5.0 * in[N - 1] + 4.0 * in[N - 2] + 3.0 * in[N - 3] +
                      2.0 * in[N - 4] + in[N - 5] - in[N - 7] ) / 14.0;
        out[N - 1] = ( 32.0 * in[N - 1] + 15.0 * in[N - 2] + 3.0 * in[N - 3] -
                      4.0 * in[N - 4] - 6.0 * in[N - 5] - 3.0 * in[N - 6] + 5.0 * in[N - 7] ) / 42.0;
    }
}

来自CODE的代码片
quadraticSmooth.c

最后是三次函数拟合平滑。

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text-decoration: none;"> 49</a><a target=_blank id="L50" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L50" rel="#L50" style="color: rgb(102, 102, 102); text-decoration: none;"> 50</a><a target=_blank id="L51" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L51" rel="#L51" style="color: rgb(102, 102, 102); text-decoration: none;"> 51</a><a target=_blank id="L52" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L52" rel="#L52" style="color: rgb(102, 102, 102); text-decoration: none;"> 52</a><a target=_blank id="L53" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L53" rel="#L53" style="color: rgb(102, 102, 102); text-decoration: none;"> 53</a><a target=_blank id="L54" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L54" rel="#L54" style="color: rgb(102, 102, 102); text-decoration: none;"> 54</a><a target=_blank id="L55" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L55" rel="#L55" style="color: rgb(102, 102, 102); text-decoration: none;"> 55</a><a target=_blank id="L56" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L56" rel="#L56" style="color: rgb(102, 102, 102); text-decoration: none;"> 56</a><a target=_blank id="L57" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L57" rel="#L57" style="color: rgb(102, 102, 102); text-decoration: none;"> 57</a><a target=_blank id="L58" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L58" rel="#L58" style="color: rgb(102, 102, 102); text-decoration: none;"> 58</a><a target=_blank id="L59" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L59" rel="#L59" style="color: rgb(102, 102, 102); text-decoration: none;"> 59</a><a target=_blank id="L60" href="http://blog.csdn.net/liyuanbhu/article/details/11119081#L60" rel="#L60" style="color: rgb(102, 102, 102); text-decoration: none;"> 60</a>/**
 * 五点三次平滑
 *
 */
void cubicSmooth5 ( double in[], double out[], int N )
{
    int i;
    if ( N < 5 )
    {
        for ( i = 0; i <= N - 1; i++ )
            out[i] = in[i];
    }
    else
    {
        out[0] = (69.0 * in[0] + 4.0 * in[1] - 6.0 * in[2] + 4.0 * in[3] - in[4]) / 70.0;
        out[1] = (2.0 * in[0] + 27.0 * in[1] + 12.0 * in[2] - 8.0 * in[3] + 2.0 * in[4]) / 35.0;
        for ( i = 2; i <= N - 3; i++ )
        {
            out[i] = (-3.0 * (in[i - 2] + in[i + 2])+ 12.0 * (in[i - 1] + in[i + 1]) + 17.0 * in[i] ) / 35.0;
        }
        out[N - 2] = (2.0 * in[N - 5] - 8.0 * in[N - 4] + 12.0 * in[N - 3] + 27.0 * in[N - 2] + 2.0 * in[N - 1]) / 35.0;
        out[N - 1] = (- in[N - 5] + 4.0 * in[N - 4] - 6.0 * in[N - 3] + 4.0 * in[N - 2] + 69.0 * in[N - 1]) / 70.0;
    }
    return;
}
void cubicSmooth7(double in[], double out[], int N)
{
    int i;
    if ( N < 7 )
    {
        for ( i = 0; i <= N - 1; i++ )
        {
            out[i] = in[i];
        }
    }
    else
    {
        out[0] = ( 39.0 * in[0] + 8.0 * in[1] - 4.0 * in[2] - 4.0 * in[3] +
                  1.0 * in[4] + 4.0 * in[5] - 2.0 * in[6] ) / 42.0;
        out[1] = ( 8.0 * in[0] + 19.0 * in[1] + 16.0 * in[2] + 6.0 * in[3] -
                  4.0 * in[4] - 7.0* in[5] + 4.0 * in[6] ) / 42.0;
        out[2] = ( -4.0 * in[0] + 16.0 * in [1] + 19.0 * in[2] + 12.0 * in[3] +
                  2.0 * in[4] - 4.0 * in[5] + 1.0 * in[6] ) / 42.0;
        for ( i = 3; i <= N - 4; i++ )
        {
            out[i] = ( -2.0 * (in[i - 3] + in[i + 3]) +
                       3.0 * (in[i - 2] + in[i + 2]) +
                      6.0 * (in[i - 1] + in[i + 1]) + 7.0 * in[i] ) / 21.0;
        }
        out[N - 3] = ( -4.0 * in[N - 1] + 16.0 * in [N - 2] + 19.0 * in[N - 3] +
                      12.0 * in[N - 4] + 2.0 * in[N - 5] - 4.0 * in[N - 6] + 1.0 * in[N - 7] ) / 42.0;
        out[N - 2] = ( 8.0 * in[N - 1] + 19.0 * in[N - 2] + 16.0 * in[N - 3] +
                      6.0 * in[N - 4] - 4.0 * in[N - 5] - 7.0 * in[N - 6] + 4.0 * in[N - 7] ) / 42.0;
        out[N - 1] = ( 39.0 * in[N - 1] + 8.0 * in[N - 2] - 4.0 * in[N - 3] -
                      4.0 * in[N - 4] + 1.0 * in[N - 5] + 4.0 * in[N - 6] - 2.0 * in[N - 7] ) / 42.0;
    }
}

来自CODE的代码片

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数据平滑算法

来自CODE的代码片linearSmooth.c

来自CODE的代码片quadraticSmooth.c

来自CODE的代码片

来自CODE的代码片
linearSmooth.c

来自CODE的代码片
quadraticSmooth.c