示波器X-Y模式显示利萨如(李沙育)与DIY图像
MUC: STM32F103RCT6
STM32所用库：HAL
涉及编程语言: C, Python，MATLAB
开发工具：MDK Keil5，CubeMX， PyCharm， MATLAB
Lissajous Figures
利萨茹(Lissajous)曲线（又称利萨茹图形、李萨如图形或鲍迪奇(Bowditch)曲线）是两个沿着互相垂直方向的正弦振动的合成的轨迹。
利萨茹曲线由以下参数方程定义：
x ( θ ) = a s i n θ x(θ)=asinθ x(θ)=asinθ
y ( θ ) = b s i n ( n θ + φ ) y(θ)=bsin(nθ+φ) y(θ)=bsin(nθ+φ)
其中，
n ⩾ 1 n\geqslant1 n⩾1
且
0 ⩽ φ ⩽ π 2 0\leqslantφ\leqslant\frac{\pi}{2} 0⩽φ⩽2π
,
n称为曲线的参数，是两个正弦振动的频率比。若比例为有理数，则
n = q p n=\frac{q}{p} n=pq
，参数方程可以写作:
x ( θ ) = a s i n ( p θ ) x(θ)=asin(pθ) x(θ)=asin(pθ)
y ( θ ) = b s i n ( q θ + φ ) y(θ)=bsin(qθ+φ) y(θ)=bsin(qθ+φ)
0 ⩽ θ ⩽ 2 π 0\leqslantθ\leqslant2\pi 0⩽θ⩽2π
我们可以利用python的numpy和matplotlib库在电脑上绘制利萨如图形:
import matplotlib.pyplot as plt
import numpy as np
""" 通过改变x_freq,y_freq,pha三个变量的值可以生成不同的利萨如图形 """
x_freq=2 # 设置x轴曲线频率(主要是确定xy曲线频率的倍数，此处为 1:2)
y_freq=3 # 设置y轴曲线频率(主要是确定xy曲线频率的倍数，此处为 1:2)
pha=0 # 设置xy轴两条正弦曲线的相位差(通过比例设置 0°->0 45°->1/4 90°->1/2 135°->3/4 180°->1)
fig=plt.figure(figsize=(1,1)) # 确定画布大小
axs=fig.add_subplot()
axs.set(xlim=[-1.2,1.2],ylim=[-1.2,1.2]) # 确定xy轴坐标刻度
theta=np.linspace(0,2*np.pi,1000) # 0 - 2Π区间等分为1000份
x=np.sin(theta) # 得到lissajous图像x轴的正弦曲线
y=np.sin(theta) # 得到lissajous图像y轴的正弦曲线
p=x_freq
q=y_freq
n=pha
y=np.sin(q*theta+n*np.pi) # 重新确定y值
axs.plot(x,y) # 绘图
plt.axis('off') # 关闭坐标轴显示
plt.savefig(r'F:\Embedded Development\Software\STM32 Project\Base MKD Keil\Lisaru\image\1x1x0blu.png') # 保存图像到指定路径
绘制出的图形如下:
示波器x-y模式：
开启方式：Acquire -> XY -> 被触发的XY ( 如下图 )
x-y模式的工作原理：
将两个信号分别输入到示波器的CH1和CH2，以CHI信号的电压作为X正半轴数值，以CH2的电压作为Y正半轴数值，得到的（X,Y)坐标值为显示出来的点。当多个点快速闪现留影，即可形成图像。
STM32控制显示利萨如图形：
方法1：使用STM32F103RCT6自带的DAC在定时器中断中按照正弦波码表双通道输出正弦波，通过改变定时器的psc分频值与arr预重装载值改变DAC输出正弦波的频率，通过改变码表起始位置值来改变相位。
方法2：可使用DDS模块输出两路正弦波，通过控制DDS模块改变两个波的频率和相位，从而显示利萨如图形。
这里采用的是方法1，方法2由于DDS输出两个波的频率若不够精确，会导致相位差累增，而使得显示的图像不断旋转与移动。
正弦波码表
我们使用python得到所需要的正弦波码表：
import matplotlib.pyplot as plt
import numpy as np
import math
# 分辨率（一个正弦波周期内的点数）
POINT_NUM = 256
# 得到pi值
pi = math.pi
# 一个周期 POINT_NUM 个点
n = np.linspace(0, 2*pi, POINT_NUM)
# print(f"n:{n}")
# 计算 POINT_NUM 个点的正弦值
a = list(map(math.sin, n))
# print(f"a:{a}")
r = []
for i in a:
# 调整幅值在 0~2 区间
i += 1
# 按3.3v电压调整幅值
i /= 2
i *= 3.3
# 求取 dac 数值， 12 位 dac LSB = 3.3V/2**12
ri = round((i/3.3*2**12))
# 检查参数
if ri >= 4095:
ri = 4095
# 得到 dac 数值序列
r.append(ri)
# 打印
print(list(map(int,r)))
# 绘图
plt.plot(n,r,"-o")
plt.show()
CubeMX DAC配置
其余默认即可。
CubeMX TIM配置
Trigger Event Selection项可默认不管
TIM6
TIM7
核心代码如下：
/* 计数器 */
__IO uint16_t SineCodeTimer1 = 0;
__IO uint16_t SineCodeTimer2 = 0;
/* 定时器中断回调函数 */
void HAL_TIM_PeriodElapsedCallback(TIM_HandleTypeDef *htim)
{
if(Freq_mode == 0)
{
if(htim == &htim6)
{
if(SineCodeTimer1 + lisa.pha >= 256){
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_1, DAC_ALIGN_12B_R, Sine256bit_0[SineCodeTimer1 + lisa.pha - 256]);
if(SineCodeTimer1 >= 256){
SineCodeTimer1 = 0;
}
}
else{
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_1, DAC_ALIGN_12B_R, Sine256bit_0[SineCodeTimer1 + lisa.pha]);
}
SineCodeTimer1++;
}
else if(htim == &htim7)
{
if(SineCodeTimer2 + lisb.pha >= 256){
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_2, DAC_ALIGN_12B_R, Sine256bit_0[SineCodeTimer2 + lisb.pha - 256]);
if(SineCodeTimer2 >= 256){
SineCodeTimer2 = 0;
}
}
else{
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_2, DAC_ALIGN_12B_R, Sine256bit_0[SineCodeTimer2 + lisb.pha]);
}
SineCodeTimer2++;
}
}
lisa.pha 与lisb.pha是DAC两个通道输出正弦波的相位，其定义在结构体lisaru中(如下)：
typedef struct lisaru{
uint32_t orifreq; /* 原始频率 */
uint32_t putfreq; /* 输出频率 */
uint16_t amp; /* 幅度 */
uint16_t pha; /* 相位 */
}lisaru;
其pha的值有如下宏定义：
/*
* 与正弦波码表相关
* 计算公式: result = pha / 360 * 256 - 1 （256为码表中点数）
*/
#define PHA_0 0
#define PHA_45 31
#define PHA_90 63
#define PHA_135 95
#define PHA_180 127
Sine256bit_0为正弦波码表，如下：
const uint16_t Sine256bit_0[] = {
2048, 2094, 2140, 2185, 2231, 2277, 2322, 2368, 2413, 2458, 2502,
2546, 2591, 2634, 2678, 2721, 2763, 2805, 2847, 2888, 2929, 2969,
3009, 3048, 3086, 3124, 3161, 3197, 3233, 3268, 3302, 3336, 3369,
3400, 3432, 3462, 3491, 3520, 3547, 3574, 3600, 3625, 3649, 3672,
3694, 3715, 3735, 3753, 3771, 3788, 3804, 3819, 3832, 3845, 3856,
3867, 3876, 3884, 3891, 3897, 3902, 3906, 3908, 3910, 3910, 3909,
3907, 3904, 3900, 3894, 3888, 3880, 3871, 3862, 3851, 3839, 3826,
3811, 3796, 3780, 3763, 3744, 3725, 3704, 3683, 3660, 3637, 3613,
3587, 3561, 3534, 3506, 3477, 3447, 3416, 3385, 3352, 3319, 3285,
3251, 3215, 3179, 3142, 3105, 3067, 3028, 2989, 2949, 2909, 2868,
2826, 2784, 2742, 2699, 2656, 2612, 2569, 2524, 2480, 2435, 2390,
2345, 2300, 2254, 2208, 2163, 2117, 2071, 2025, 1979, 1933, 1888,
1842, 1796, 1751, 1706, 1661, 1616, 1572, 1527, 1484, 1440, 1397,
1354, 1312, 1270, 1228, 1187, 1147, 1107, 1068, 1029, 991, 954,
917, 881, 845, 811, 777, 744, 711, 680, 649, 619, 590, 562, 535,
509, 483, 459, 436, 413, 392, 371, 352, 333, 316, 300, 285, 270,
257, 245, 234, 225, 216, 208, 202, 196, 192, 189, 187, 186, 186,
188, 190, 194, 199, 205, 212, 220, 229, 240, 251, 264, 277, 292,
308, 325, 343, 361, 381, 402, 424, 447, 471, 496, 522, 549, 576,
605, 634, 664, 696, 727, 760, 794, 828, 863, 899, 935, 972, 1010,
1048, 1087, 1127, 1167, 1208, 1249, 1291, 1333, 1375, 1418, 1462,
1505, 1550, 1594, 1638, 1683, 1728, 1774, 1819, 1865, 1911, 1956,
2002, 2048,
};
改变定时器中断频率，从而改变利萨如两个波的频率比
这里用到两个宏函数：
/* 在运行时设置预分频系数，就是设置预分频器寄存器 TIMx_PSC 的值 */
__HAL_TIM_SET_PRESCALER(&htimx, psc)
/* 在运行时设置自重装载寄存器 TIMx_ARR 的值，并改变定时器的周期 */
__HAL_TIM_SET_AUTORELOAD(&htimx, arr)
根据我的开发板计算出的数值：
/* 100Hz : 100Hz *//* 1 : 1 */
__HAL_TIM_SET_PRESCALER(&htim6, 71);
__HAL_TIM_SET_PRESCALER(&htim7, 71);
__HAL_TIM_SET_AUTORELOAD(&htim6, 38);
__HAL_TIM_SET_AUTORELOAD(&htim7, 38);
/* 100Hz : 200Hz */ /* 1 : 2 */
__HAL_TIM_SET_PRESCALER(&htim6, 40);
__HAL_TIM_SET_PRESCALER(&htim7, 40);
__HAL_TIM_SET_AUTORELOAD(&htim6, 67);
__HAL_TIM_SET_AUTORELOAD(&htim7, 33);
/* 100Hz : 300Hz */ /* 1 : 3 */
__HAL_TIM_SET_PRESCALER(&htim6, 10);
__HAL_TIM_SET_PRESCALER(&htim7, 10);
__HAL_TIM_SET_AUTORELOAD(&htim6, 254);
__HAL_TIM_SET_AUTORELOAD(&htim7, 84);
/* 100Hz : 150Hz */ /* 1 : 1.5 */
__HAL_TIM_SET_PRESCALER(&htim6, 10);
__HAL_TIM_SET_PRESCALER(&htim7, 10);
__HAL_TIM_SET_AUTORELOAD(&htim6, 254);
__HAL_TIM_SET_AUTORELOAD(&htim7, 169);
将DAC两个通道的引脚分别接在示波器的CH1和CH2上，运行程序后微调示波器x-y的显示，即可看到利萨如图形。（如下图）：
我这里利用串口屏制作了一个界面，可通过串口通信改变示波器显示的利萨如图形：
STM32DAC双路输出显示DIY图形：
之前又说到示波器X-Y模式显示的原理，可以简单理解为在同一时间内两个通道所采集到的电压值分别作为一个点的x与y值，而后将这个点显示在示波器上。因此若我们想要示波器显示自定义的图像，我们需要得到图像中每个关键像素点的对应(x,y)坐标，并把这个坐标映射到DAC可输出的电压值区间内（0 - 3.3v 即 0 - 4095），从而得到一个具有图像信息的码表。
这里我们使用MATLAB对图像进行二值化处理后导出每个显色像素点对应的坐标值，然后映射到0-4095，从而得到图像的码表（建议图像为线稿，且疏散，附图如下）。
MATLAB脚本代码如下：
clc
clear
img=imread('F:\Embedded Development\Software\STM32 Project\Base MKD Keil\Lisaru\image\dx.jpg'); %读取到一张图片
i = imresize(img,[1024,1024]);
[Height,Width]=size(i); %获取原图像的高度和宽度
T1=affine2d([-1 0 0;0 1 0;Width 0 1]); %构造空间变换结构T1，这里为水平镜像变换矩阵
i=imwarp(i,T1); %对原图像I进行水平镜像变换
thresh = graythresh(i); %自动确定二值化阈值
i2 = im2bw(i,thresh); %对图像二值化
% figure(1)
% imshow(i) %显示二值化之前的图片
% figure(2)
% imshow(I2) %显示二值化之后的图片
i3 =~i2;
figure(3)
PicEdge6=edge(i3,'roberts');
PicEdge7=edge(PicEdge6,'roberts');
imshow(PicEdge7)
[m,n] =find(PicEdge7==1);
m = m*4;
n= n*4;
m = 4096-m;
n= 4096-n;
fid = fopen('y.txt','wt');
fprintf(fid,'%g,',m);
fclose(fid)
fid = fopen('x.txt','wt');
fprintf(fid,'%g,',n);
fclose(fid)
将希望显示的图像经matlab脚本转为对应码表后，同上面显示利萨如图形的操作一样，我们将原先的正弦波码表换成DIY图像码表即可。
为了操作方面我定义了如下结构体和宏函数：
/* 图像对应码表结构体 */
typedef struct lisaru_img_num {
const uint16_t x[Lisaru_NumSize]; /* x值 */
const uint16_t y[Lisaru_NumSize]; /* y值 */
uint32_t len; /* 码表长度 */
}lisaruimgTypedef;
uint16_t lisaru_counts = 0;
#define __Lisaru_Draw_Num(n) { HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_1, DAC_ALIGN_12B_R, lisaru_Num[n]->x[lisaru_counts]); \
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_2, DAC_ALIGN_12B_R, lisaru_Num[n]->y[lisaru_counts]); \
lisaru_counts++; \
if(lisaru_counts >= lisaru_Num[n]->len)lisaru_counts = 0;}
#define __Lisaru_Draw_Alp(n) { HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_1, DAC_ALIGN_12B_R, lisaru_Alp[n]->x[lisaru_counts]); \
HAL_DAC_SetValue(&hdac, DAC1_CHANNEL_2, DAC_ALIGN_12B_R, lisaru_Alp[n]->y[lisaru_counts]); \
lisaru_counts++; \
if(lisaru_counts >= lisaru_Alp[n]->len)lisaru_counts = 0;}
lisaru_Num 与 lisaru_Alp 为我定义的指针数组：
const lisaruimgTypedef* lisaru_Num[] = {
&lisaru_img_num_0,
&lisaru_img_num_1,
&lisaru_img_num_2,
&lisaru_img_num_3,
&lisaru_img_num_4,
&lisaru_img_num_5,
&lisaru_img_num_6,
&lisaru_img_num_7,
&lisaru_img_num_8,
&lisaru_img_num_9,
};
const lisaruimgTypedef* lisaru_Alp[] = {
&lisaru_img_alp_A,
&lisaru_img_alp_B,
&lisaru_img_alp_C,
&lisaru_img_alp_D,
};
附上一些完整的图像码表结构体：
数字6
lisaruimgTypedef lisaru_img_num_6 = {
/* 6 */
.len = 497,
.x = {
2656,2656,2656,2656,2656,2656,2656,2656,2640,2640,2640,2640,2640,2640,2640,
2640,2640,2640,2624,2624,2624,2624,2624,2624,2624,2624,2608,2608,2608,2608,
2608,2608,2608,2608,2608,2608,2608,2608,2608,2592,2592,2592,2592,2592,2592,
2592,2576,2576,2576,2576,2576,2576,2576,2560,2560,2560,2544,2544,2544,2544,
2544,2544,2544,2528,2528,2528,2512,2512,2512,2512,2496,2496,2496,2480,2480,
2464,2464,2448,2448,2448,2432,2432,2432,2432,2432,2432,2416,2416,2400,2400,
2384,2384,2384,2384,2368,2368,2352,2352,2352,2336,2336,2336,2320,2320,2320,
2304,2304,2304,2288,2288,2288,2288,2272,2256,2256,2256,2256,2256,2256,2240,
2224,2224,2224,2224,2208,2208,2192,2192,2192,2192,2192,2176,2176,2176,2176,
2160,2160,2160,2160,2160,2144,2144,2128,2128,2112,2112,2112,2112,2096,2096,
2096,2096,2080,2080,2080,2064,2064,2064,2064,2064,2048,2048,2048,2032,2032,
2016,2016,2000,2000,1984,1984,1968,1968,1952,1952,1936,1936,1936,1920,1920,
1920,1920,1920,1904,1904,1904,1888,1888,1888,1872,1872,1872,1872,1872,1872,
1872,1856,1856,1856,1856,1856,1856,1840,1840,1840,1840,1840,1840,1824,1824,
1824,1824,1824,1824,1824,1824,1824,1824,1824,1808,1808,1808,1808,1808,1808,
1808,1808,1808,1792,1792,1792,1792,1792,1792,1792,1792,1792,1792,1792,1776,
1776,1776,1776,1776,1776,1760,1760,1760,1760,1760,1760,1760,1760,1760,1760,
1744,1744,1744,1744,1744,1744,1744,1728,1728,1728,1728,1728,1728,1728,1728,
1728,1728,1728,1712,1712,1712,1712,1712,1712,1712,1696,1696,1696,1696,1696,
1696,1696,1696,1696,1696,1680,1680,1680,1680,1680,1680,1680,1680,1680,1680,
1664,1664,1664,1664,1664,1664,1664,1664,1664,1648,1648,1648,1648,1648,1648,
1648,1648,1648,1632,1632,1632,1632,1632,1632,1632,1632,1616,1616,1616,1616,
1616,1616,1616,1600,1600,1600,1600,1600,1600,1600,1600,1600,1600,1600,1584,
1584,1584,1584,1584,1568,1568,1568,1568,1568,1568,1568,1568,1568,1568,1568,
1552,1552,1552,1552,1552,1552,1552,1552,1552,1536,1536,1536,1536,1536,1536,
1536,1520,1520,1520,1520,1520,1520,1520,1520,1504,1504,1504,1504,1504,1504,
1504,1488,1488,1488,1488,1488,1488,1488,1488,1472,1472,1472,1472,1472,1472,
1472,1472,1456,1456,1456,1456,1456,1456,1456,1456,1456,1440,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1440,1424,1424,1424,1424,1424,1424,1408,
1408,1408,1408,1408,1408,1408,1408,1392,1392,1392,1392,1392,1392,1392,1392,
1392,1392,1376,1376,1376,1376,1376,1376,1376,1376,1376,1376,1376,1376,1376,
1376,1376,1360,1360,1360,1360,1360,1360,1360,1360,1360,1360,1360,1344,1344,
1344,1344,1344,1344,1344,1344,1328,1328,1328,1328,1328,1328,1328,1328,1328,
1328,1328,
},
.y = {
1920,1904,1888,1872,1856,1840,1824,1808,2000,1984,1968,1952,1904,1808,1776,
1760,1744,1728,1984,1904,1872,1856,1808,1712,1696,1680,2032,1984,1952,1936,
1920,1904,1824,1808,1792,1776,1744,1664,1648,2064,2000,1984,1744,1728,1696,
1648,2096,2032,2016,1664,1648,1616,1600,2064,2048,1600,2144,2128,2096,2080,
1616,1600,1568,2128,1552,1536,2144,2128,1536,1520,2160,2144,1520,2176,1504,
2192,1488,2240,2208,2192,2240,2224,2208,1488,1472,1456,1488,1456,2272,2240,
2272,1456,1440,1424,1456,1424,2304,2272,1408,2272,1440,1408,2320,2288,1392,
2288,1424,1392,2352,2336,2304,1392,2304,2352,2336,2320,1408,1392,1376,1360,
2336,1408,1392,1360,2336,1360,2384,2368,2336,1392,1360,2384,2336,1392,1344,
2384,2352,1392,1376,1344,2352,1344,2352,1344,2400,2384,2352,1344,2400,2352,
1360,1344,2400,2368,1376,2368,1376,1360,1344,1328,2368,1376,1328,2368,1328,
2368,1328,2368,1328,2368,1328,2368,1328,2368,1328,2368,1376,1328,2368,1376,
1360,1344,1328,2384,2368,1376,2400,1360,1344,3360,3344,2400,2384,2368,2352,
1344,3328,3312,3296,2400,2352,1344,3360,3280,3264,3248,2352,1344,3360,3344,
3312,3232,3216,3200,2384,2352,1392,1376,1344,3312,3296,3264,3184,3168,2384,
2336,1392,1344,3264,3248,3216,3152,3136,3120,2384,2368,2336,1392,1360,3184,
3104,3088,3072,2336,1360,3184,3168,3136,3056,3040,3024,2336,1408,1392,1360,
3136,3120,3088,3008,2992,1408,1360,3088,3072,3040,2992,2960,2944,2352,2336,
2320,1408,1376,2992,2928,2912,2896,2304,1408,1376,3008,2992,2960,2880,2864,
2848,2352,2336,2304,1376,2960,2944,2912,2832,2816,2800,2288,1440,1424,1392,
2912,2896,2864,2784,2768,2752,2320,2288,1392,2864,2848,2816,2736,2720,2272,
1440,1424,1408,2816,2800,2768,2704,2688,2672,2304,2272,2736,2656,2640,2624,
2256,1456,1424,2736,2720,2688,2608,2592,2576,2288,2256,1456,1440,1424,2688,
2672,2640,2560,2544,2640,2624,2592,2528,2512,2496,2256,2240,2224,1488,1456,
2560,2480,2464,2448,2256,2224,1488,1472,1456,2560,2544,2512,2432,2416,2400,
2208,2512,2496,2464,2384,2368,2352,2192,1488,2464,2448,2416,2336,2320,2176,
1504,2416,2400,2368,2304,2288,2272,2160,1520,2336,2256,2240,2224,2144,2128,
1536,1520,2336,2320,2288,2208,2192,2128,2112,1552,1536,2288,2272,2240,2192,
2160,2112,2096,2080,1616,1600,1568,1552,2240,2224,2144,2112,2080,1600,2176,
2128,2080,2048,2032,1664,1616,1600,2144,2096,2048,2032,2000,1744,1728,1696,
1632,1616,2112,2096,2048,2000,1968,1952,1936,1920,1824,1808,1792,1776,1744,
1664,1648,2064,2048,2000,1920,1888,1872,1856,1808,1712,1696,1680,2016,2000,
1920,1808,1776,1760,1744,1728,1968,1952,1936,1920,1904,1888,1872,1856,1840,
1824,1808,
}
};
字母A
lisaruimgTypedef lisaru_img_alp_A = {
/* A */
.len = 523,
.x = {
2736,2736,2736,2720,2720,2720,2704,2704,2704,2704,2704,2688,2688,2688,2688,
2672,2672,2672,2656,2656,2656,2656,2656,2656,2640,2640,2640,2624,2624,2624,
2624,2608,2608,2608,2608,2608,2592,2592,2592,2576,2576,2576,2576,2560,2560,
2560,2560,2560,2544,2544,2544,2544,2544,2528,2528,2528,2528,2512,2512,2512,
2496,2496,2496,2496,2496,2496,2480,2480,2480,2464,2464,2464,2464,2448,2448,
2448,2448,2448,2432,2432,2432,2416,2416,2416,2416,2400,2400,2400,2400,2400,
2384,2384,2384,2384,2384,2368,2368,2368,2368,2352,2352,2352,2336,2336,2336,
2336,2336,2336,2320,2320,2320,2304,2304,2304,2304,2288,2288,2288,2288,2288,
2272,2272,2272,2272,2256,2256,2256,2256,2256,2256,2240,2240,2224,2224,2224,
2224,2208,2208,2208,2208,2208,2192,2192,2192,2192,2192,2192,2176,2176,2176,
2160,2160,2160,2160,2160,2160,2144,2144,2144,2144,2144,2144,2128,2128,2128,
2128,2128,2112,2112,2112,2112,2096,2096,2096,2096,2096,2096,2096,2080,2080,
2080,2080,2064,2064,2064,2064,2064,2048,2048,2048,2048,2048,2048,2032,2032,
2032,2032,2016,2016,2016,2016,2016,2016,2016,2000,2000,2000,2000,1984,1984,
1984,1984,1984,1968,1968,1968,1968,1968,1968,1952,1952,1952,1952,1952,1952,
1936,1936,1936,1936,1936,1920,1920,1920,1920,1904,1904,1904,1904,1904,1888,
1888,1888,1888,1888,1888,1872,1872,1872,1872,1856,1856,1856,1856,1856,1856,
1856,1840,1840,1824,1824,1824,1824,1808,1808,1808,1808,1808,1808,1792,1792,
1792,1792,1792,1792,1776,1776,1776,1776,1776,1776,1776,1760,1760,1760,1760,
1760,1744,1744,1744,1744,1744,1744,1744,1728,1728,1728,1728,1728,1728,1712,
1712,1712,1712,1712,1712,1712,1696,1696,1696,1696,1696,1680,1680,1680,1680,
1680,1680,1664,1664,1664,1664,1664,1664,1664,1648,1648,1648,1648,1648,1632,
1632,1632,1632,1632,1632,1616,1616,1616,1616,1616,1616,1616,1600,1600,1600,
1600,1600,1584,1584,1584,1584,1584,1584,1568,1568,1568,1568,1568,1568,1568,
1552,1552,1552,1552,1552,1536,1536,1536,1536,1536,1536,1536,1520,1520,1520,
1520,1520,1504,1504,1504,1504,1504,1504,1488,1488,1488,1472,1472,1472,1472,
1472,1456,1456,1456,1456,1456,1456,1440,1440,1440,1440,1424,1424,1424,1424,
1424,1424,1408,1408,1408,1408,1408,1392,1392,1392,1392,1392,1392,1376,1376,
1376,1376,1360,1360,1360,1360,1360,1344,1344,1344,1344,1344,1344,1328,1328,
1328,1328,1312,1312,1312,1312,1312,1312,1296,1296,1296,1296,1296,1280,1280,
1280,1280,1280,1280,1264,1264,1264,1264,1248,1248,1248,1248,1248,1232,1232,
1232,1232,1232,1232,1216,1216,1216,1216,1200,1200,1200,1200,1200,1184,1184,
1184,1184,1184,1184,1168,1168,1168,1168,1152,1152,1152,1152,1152,1152,1136,
1136,1136,1136,1136,1120,1120,1120,1120,1120,1120,1104,1104,1104,1104,1088,
1088,1088,1088,1088,1072,1072,1072,1072,1056,1056,1040,1040,1040,
},
.y = {
1344,1328,1312,1392,1376,1312,1392,1360,1344,1328,1312,1472,1456,1424,1360,
1472,1392,1376,1552,1536,1504,1440,1424,1408,1552,1472,1456,1584,1520,1504,
1488,1664,1648,1616,1552,1536,1664,1584,1568,1696,1632,1616,1600,1776,1760,
1728,1664,1648,1776,1744,1712,1696,1680,1856,1840,1808,1744,1856,1776,1760,
1936,1920,1888,1824,1808,1792,1936,1856,1840,1968,1904,1888,1872,2048,2032,
2000,1936,1920,2048,1968,1952,2080,2016,2000,1984,2160,2144,2112,2048,2032,
2160,2128,2096,2080,2064,2240,2224,2192,2128,2240,2160,2144,2320,2304,2272,
2208,2192,2176,2320,2240,2224,2352,2288,2272,2256,2432,2416,2384,2320,2304,
2464,2432,2352,2336,2512,2496,2432,2400,2384,2368,2512,2464,2544,2464,2448,
2432,2624,2608,2576,2512,2432,2624,2592,2560,2544,2528,2432,2656,2592,2432,
2736,2720,2688,2624,2608,2432,2736,2704,2672,2656,2640,2432,2816,2800,2768,
2704,2432,2816,2736,2720,2432,2896,2880,2848,2784,2768,2752,2432,2896,2816,
2800,2432,2928,2864,2848,2832,2432,3008,2992,2960,2896,2880,2432,3008,2928,
2912,2432,3088,3072,3040,2976,2960,2944,2432,3088,3008,2992,2432,3120,3056,
3040,3024,2432,3200,3184,3152,3088,3072,2432,3200,3168,3136,3120,3104,2432,
3280,3264,3232,3168,2432,3280,3200,3184,2432,3312,3248,3232,3216,2432,3392,
3376,3344,3280,3264,2432,3424,3312,3296,2432,3424,3392,3376,3360,3344,3328,
2432,3376,2432,3344,3328,3312,2432,3408,3376,3296,3280,3264,2432,3376,3360,
3328,3248,3232,2432,3328,3312,3280,3216,3200,3184,2432,3248,3168,3152,3136,
2432,3248,3232,3200,3120,3104,3088,2432,3200,3184,3152,3072,3056,2432,3152,
3136,3104,3040,3024,3008,2432,3072,2992,2976,2960,2432,3072,3056,3024,2944,
2928,2432,3024,3008,2976,2912,2896,2880,2432,2944,2864,2848,2832,2432,2944,
2928,2896,2816,2800,2432,2896,2880,2848,2784,2768,2752,2432,2816,2736,2720,
2704,2432,2816,2800,2768,2688,2672,2432,2768,2752,2720,2672,2640,2624,2432,
2672,2608,2592,2576,2432,2688,2672,2640,2560,2544,2528,2432,2640,2624,2592,
2512,2432,2592,2576,2544,2464,2448,2432,2512,2416,2400,2512,2496,2448,2384,
2368,2464,2448,2416,2352,2336,2320,2384,2304,2288,2272,2384,2368,2336,2256,
2240,2224,2336,2320,2288,2208,2192,2288,2272,2240,2176,2160,2144,2208,2128,
2112,2096,2208,2192,2160,2080,2064,2160,2144,2112,2048,2032,2016,2080,2000,
1984,1968,2080,2064,2032,1952,1936,1920,2032,2016,1984,1904,1888,1984,1968,
1936,1872,1856,1840,1904,1824,1808,1792,1904,1888,1856,1776,1760,1856,1840,
1808,1744,1728,1712,1776,1696,1680,1664,1776,1760,1728,1648,1632,1728,1712,
1680,1616,1600,1584,1648,1568,1552,1536,1648,1632,1600,1520,1504,1488,1600,
1584,1552,1472,1456,1552,1536,1504,1440,1424,1408,1472,1392,1376,1360,1472,
1456,1424,1344,1328,1424,1408,1376,1312,1344,1312,1344,1328,1312,
},
};
在使用时调用宏函数即可：
/* image为我定义的一个与串口屏相关的变量，存放图像编号，可不理会 */
/* 使用时直接调用宏函数即可 */
switch(image)
{
case 20:
__Lisaru_Draw_Num(0);
break;
case 21:
__Lisaru_Draw_Num(1);
break;
case 22:
__Lisaru_Draw_Num(2);
break;
case 23:
__Lisaru_Draw_Num(3);
break;
case 24:
__Lisaru_Draw_Num(4);
break;
case 25:
__Lisaru_Draw_Num(5);
break;
case 26:
__Lisaru_Draw_Num(6);
break;
case 27:
__Lisaru_Draw_Num(7);
break;
case 28:
__Lisaru_Draw_Num(8);
break;
case 29:
__Lisaru_Draw_Num(9);
break;
case 30:
__Lisaru_Draw_Alp(0);
break;
case 31:
__Lisaru_Draw_Alp(1);
break;
case 32:
__Lisaru_Draw_Alp(2);
break;
case 33:
__Lisaru_Draw_Alp(3);
break;
}
最终效果如图：
附上一个显示徽标的图，由于徽标原图较为复杂，所以显示出来比较模糊
工程源码：lissajous-figure