python3实现图元输出(二)

前言

前段时间在学习计算机图形学的过程中大致用散点图模拟了DDA直线算法,中心圆,中心椭圆输出算法,现在抽空整理了一下,增加了BRESENHAM直线算法,增加了图形界面,增加了逐点刷新的图形输出功能以便于更形象地展示这些算法的输出步骤

需要导入的包

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import matplotlib.pyplot as plt
import numpy as np
import time
import os
import tkinter as tk
from tkinter import *

成品展示

image

全部源代码

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#取较大值函数
def Max(a,b):
if abs(a)>abs(b):
return abs(a)
else:
return abs(b)

#**********************************************************************************************
#刷新图片输出函数
def plot_set(t=0.2):
ax = plt.gca() # get current axis 获得坐标轴对象
ax.set_aspect(1) #横纵坐标比1:!
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.yaxis.set_ticks_position('left')
ax.spines['bottom'].set_position(('data', 0))
ax.spines['left'].set_position(('data', 0))
plt.pause(t)
plt.clf()#清除以达到刷新的作用
#**********************************************************************************************
#DDA算法画直线
def DDA(x1,y1,x2,y2):
x = []
y = []
m = (y2 - y1)/(x2 - x1)
for s in range(x2 - x1 +1):
x.append(x1 + s)
y.append(int(y1 + m * s +0.5))
plt.axis([-Max(Max(x1,x2),Max(y1,y2))*1.2,Max(Max(x1,x2),Max(y1,y2))*1.2 , -Max(Max(x1,x2),Max(y1,y2))*1.2, Max(Max(x1,x2),Max(y1,y2))*1.2])
plot_set()
plt.scatter(x,y)

#**********************************************************************************************
#BRESENHAM算法画直线
def BRESENHAM(x1,y1,x2,y2):
m = abs((y1-y2)/(x1-x2))
x = []
y = []
t = []
p = []
Delta_X = abs(x1-x2)
Delta_Y = abs(y1-y2)
p.append(2*Delta_Y-Delta_X)
if x1<x2:
x.append(x1)
y.append(y1)
else:
x.append(x2)
y.append(y2)
if m<1: #不同斜率情况下画法
for s in range(int(Delta_X +0.5)-1):
if p[s]<0:
x.append(x[s]+1)
y.append(y[s])
p.append(p[s]+2*Delta_Y)
else:
x.append(x[s]+1)
y.append(y[s]+1)
p.append(p[s]+2*Delta_Y-2*Delta_X)
plt.axis([-Max(Max(x1,x2),Max(y1,y2))*1.2,Max(Max(x1,x2),Max(y1,y2))*1.2 , -Max(Max(x1,x2),Max(y1,y2))*1.2, Max(Max(x1,x2),Max(y1,y2))*1.2])
plot_set()
plt.scatter(x,y)
else:
for s in range(int(Delta_Y +0.5)-1):
if p[s]>0:
x.append(x[s]+1)
y.append(y[s]+1)
p.append(p[s]+2*Delta_X-2*Delta_Y)
else:
x.append(x[s])
y.append(y[s]+1)
p.append(p[s]+2*Delta_X)
plt.axis([-Max(Max(x1,x2),Max(y1,y2))*1.2,Max(Max(x1,x2),Max(y1,y2))*1.2 , -Max(Max(x1,x2),Max(y1,y2))*1.2, Max(Max(x1,x2),Max(y1,y2))*1.2])
plot_set()
plt.scatter(x,y)
#**********************************************************************************************
#中心圆画法
def CIRCLE(xc,yc,r):
x=[]
y=[]
p=[]
xx=[]
yy=[]
k=0
x.append(0)
y.append(r)
p.append(1-r)
while x[k]<y[k]:
if p[k]<0:
x.append(x[k]+1)
y.append(y[k])
p.append(p[k]+2*x[k+1]+1)
else:
x.append(x[k]+1)
y.append(y[k]-1)
p.append(p[k]+2*x[k+1]+1-2*y[k+1])
k=k+1
for s in range(len(x)):
xx.append(x[s]+xc)
xx.append(y[s]+xc)
xx.append(-x[s]+xc)
xx.append(-y[s]+xc)
xx.append(x[s]+xc)
xx.append(y[s]+xc)
xx.append(-x[s]+xc)
xx.append(-y[s]+xc)
yy.append(y[s]+yc)
yy.append(x[s]+yc)
yy.append(y[s]+yc)
yy.append(x[s]+yc)
yy.append(-y[s]+yc)
yy.append(-x[s]+yc)
yy.append(-y[s]+yc)
yy.append(-x[s]+yc)
plt.axis([-Max(xc+r,xc-r)*1.2,Max(xc+r,xc-r)*1.2 , -Max(yc+r,yc-r)*1.2, Max(yc+r,yc-r)*1.2])
plot_set()
plt.scatter(xx,yy)
#**********************************************************************************************
#中心椭圆画法
def ELLIPSE(rx,ry,xc,yc):
x=[]
y=[]
p=[]
p2=[]
xx=[]
yy=[]
k=0
j=0
x.append(0)
y.append(ry)
p.append(ry**2 - (rx**2)*ry+0.25*(rx**2))
while (2*ry**2*x[k]+2*ry**2)<(2*rx**2*y[k]-2*rx**2):
if p[k] < 0:
x.append(x[k] + 1)
y.append(y[k])
p.append(p[k] +2*(ry**2)*x[k+1]+ry**2)
else:
x.append(x[k] + 1)
y.append(y[k] - 1)
p.append(p[k] +2*(ry**2)*x[k+1]+ry**2-2*(rx**2)*y[k+1])
k=k+1
p2.append((ry**2)*(x[k]+0.5)**2+(rx**2)*(y[k]-1)**2-(rx**2)*(ry**2))
while y[k]>=0:
if p2[j]>0:
x.append(x[k])
y.append(y[k]-1)
p2.append(p2[j]-2*(rx**2)*y[k+1]+rx**2)
else:
x.append(x[k]+1)
y.append(y[k]-1)
p2.append(p2[j]-2*(rx**2)*y[k+1]+rx**2+2*(ry**2)*x[k+1])
k=k+1
j=j+1
for s in range(len(x)):
xx.append(x[s]+xc)
xx.append(-x[s]+xc)
xx.append(x[s]+xc)
xx.append(-x[s]+xc)
yy.append(y[s]+yc)
yy.append(y[s]+yc)
yy.append(-y[s]+yc)
yy.append(-y[s]+yc)
plt.axis([-Max(xc+rx,xc-rx)*1.2,Max(xc+rx,xc-rx)*1.2 , -Max(yc+ry,yc-ry)*1.2, Max(yc+ry,yc-ry)*1.2])
plot_set()
plt.scatter(xx,yy)
#**********************************************************************************************
#设置窗口
window = tk.Tk()
window.title('图元输出模拟')
window.geometry('800x600')

# photo=tk.PhotoImage(file=r"tuxingxue.gif")
# label=tk.Label(win,image=photo) #图片
# label.pack()

l = tk.Label(window, text='Liaoyuan Feng’s Example ', bg='SkyBlue', font=('Arial', 15), width=80, height=3)
l.pack(fill=X)

#**********************************************************************************************
#按钮一
on_hit_1 = False
def draw_line1():
global on_hit_1
if on_hit_1 == False:
on_hit_1 = True
x1=int(x1_text.get()) #读取文本框内容
y1=int(y1_text.get())
x2=int(x2_text.get())
y2=int(y2_text.get())
DDA(x1,y1,x2,y2)
else:
on_hit_1 = False
#**********************************************************************************************
#按钮二
on_hit_2 = False
def draw_line2():
global on_hit_2
if on_hit_2 == False:
on_hit_2 = True
x1_2=int(x1_text2.get()) #读取文本框内容
y1_2=int(y1_text2.get())
x2_2=int(x2_text2.get())
y2_2=int(y2_text2.get())
BRESENHAM(x1_2,y1_2,x2_2,y2_2)
else:
on_hit_2 = False
#**********************************************************************************************
#按钮三
on_hit_3 = False
def draw_circle():
global on_hit_3
if on_hit_3 == False:
on_hit_3 = True
xc=int(xc_text.get()) #读取文本框内容
yc=int(yc_text.get())
r=int(r_text.get())
CIRCLE(xc,yc,r)
else:
on_hit_3 = False
#**********************************************************************************************
#按钮四
on_hit_4 = False
def draw_ellipse():
global on_hit_4
if on_hit_4 == False:
on_hit_4 = True
rx=int(rx_text.get()) #读取文本框内容
ry=int(ry_text.get())
xc=int(xc_text.get())
yc=int(yc_text.get())
ELLIPSE(rx,ry,xc,yc)
else:
on_hit_4 = False
#**********************************************************************************************
line1_x1=tk.Label(window, text='x1=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line1_x1.place(x=10,y=200,width = 30,height = 20)
x1_text=tk.Entry()
x1_text.place(x=50,y=200,width = 100,height = 20)

line1_y1=tk.Label(window, text='y1=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line1_y1.place(x=10,y=230,width = 30,height = 20)
y1_text=tk.Entry()
y1_text.place(x=50,y=230,width = 100,height = 20)

line1_x2=tk.Label(window, text='x2=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line1_x2.place(x=10,y=260,width = 30,height = 20)
x2_text=tk.Entry()
x2_text.place(x=50,y=260,width = 100,height = 20)

line1_y2=tk.Label(window, text='y2=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line1_y2.place(x=10,y=290,width = 30,height = 20)
y2_text=tk.Entry()
y2_text.place(x=50,y=290,width = 100,height = 20)


#**********************************************************************************************
line2_x1=tk.Label(window, text='x1=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line2_x1.place(x=210,y=200,width = 30,height = 20)
x1_text2=tk.Entry()
x1_text2.place(x=250,y=200,width = 100,height = 20)

line2_y1=tk.Label(window, text='y1=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line2_y1.place(x=210,y=230,width = 30,height = 20)
y1_text2=tk.Entry()
y1_text2.place(x=250,y=230,width = 100,height = 20)

line2_x2=tk.Label(window, text='x2=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line2_x2.place(x=210,y=260,width = 30,height = 20)
x2_text2=tk.Entry()
x2_text2.place(x=250,y=260,width = 100,height = 20)

line2_y2=tk.Label(window, text='y2=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
line2_y2.place(x=210,y=290,width = 30,height = 20)
y2_text2=tk.Entry()
y2_text2.place(x=250,y=290,width = 100,height = 20)
#**********************************************************************************************
circle_xc=tk.Label(window, text='xc=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
circle_xc.place(x=410,y=200,width = 30,height = 20)
xc_text=tk.Entry()
xc_text.place(x=450,y=200,width = 100,height = 20)

circle_yc=tk.Label(window, text='yc=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
circle_yc.place(x=410,y=230,width = 30,height = 20)
yc_text=tk.Entry()
yc_text.place(x=450,y=230,width = 100,height = 20)

circle_r=tk.Label(window, text='r=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
circle_r.place(x=410,y=260,width = 30,height = 20)
r_text=tk.Entry()
r_text.place(x=450,y=260,width = 100,height = 20)
#**********************************************************************************************
ellipse_rx=tk.Label(window, text='rx=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
ellipse_rx.place(x=610,y=200,width = 30,height = 20)
rx_text=tk.Entry()
rx_text.place(x=650,y=200,width = 100,height = 20)

ellipse_ry=tk.Label(window, text='ry=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
ellipse_ry.place(x=610,y=230,width = 30,height = 20)
ry_text=tk.Entry()
ry_text.place(x=650,y=230,width = 100,height = 20)

ellipse_xc=tk.Label(window, text='xc=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
ellipse_xc.place(x=610,y=260,width = 30,height = 20)
xc_text=tk.Entry()
xc_text.place(x=650,y=260,width = 100,height = 20)

ellipse_yc=tk.Label(window, text='yc=',bg='white',font=('Arial', 12),width=15, height=2 ) #标签
ellipse_yc.place(x=610,y=290,width = 30,height = 20)
yc_text=tk.Entry()
yc_text.place(x=650,y=290,width = 100,height = 20)

#**********************************************************************************************
#按钮命令设置
b = tk.Button(window, text='draw line', font=('Arial', 12), width=25, height=4, command=draw_line1)
b.place(x=50,y=400,width = 100,height = 50)
c = tk.Button(window, text='draw line2', font=('Arial', 12), width=25, height=4, command=draw_line2)
c.place(x=250,y=400,width = 100,height = 50)
d = tk.Button(window, text='draw circle', font=('Arial', 12), width=25, height=4, command=draw_circle)
d.place(x=450,y=400,width = 100,height = 50)
e = tk.Button(window, text='draw ellipse', font=('Arial', 12), width=25, height=4, command=draw_ellipse)
e.place(x=650,y=400,width = 100,height = 50)

window.mainloop()

以上内容仅为个人的学习笔记,如果有内容错漏,欢迎大家联系笔者讨论