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@uzl
Last active March 15, 2019 10:01
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rotate 4 points(x,y) of a polygon with respect to a center coordinate
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from shapely.geometry import Point, LineString\n",
"import numpy as np\n",
"from PIL import Image\n",
"from shapely import affinity\n",
"import matplotlib.pyplot as plt\n",
"# from shapely.figures import SIZE, set_limits, plot_coords, plot_bounds, plot_line_issimple\n",
"%matplotlib inline\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Rotation"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# rotation 4 points \n",
"\n",
"## A, B, C, D and center are tuple(x,y coordinate). \n",
"## angle is in degrees unit\n",
"def rotate_box(A, B, C, D, center, angle): \n",
" \n",
" ## do rotation math here\n",
" ## NOTE: origin(0,0) of coordinate system should be upper left (computer graphics conventions) \n",
" # ------------------\n",
" \n",
" a = Point(A)\n",
" b = Point(B)\n",
" c = Point(C)\n",
" d = Point(D)\n",
" rotate_cntr = Point(center)\n",
" \n",
" mx = Point(rotate_cntr.x*2, rotate_cntr.y*2)\n",
" \n",
" bdr_a = Point(0,0)\n",
" bdr_b = Point(rotate_cntr.x*2, 0)\n",
" bdr_c = Point(rotate_cntr.x*2, rotate_cntr.y*2)\n",
" bdr_d = Point(0, rotate_cntr.y*2)\n",
" \n",
" bdr_a = affinity.rotate(bdr_a, angle, origin=rotate_cntr)\n",
" bdr_b = affinity.rotate(bdr_b, angle, origin=rotate_cntr)\n",
" bdr_c = affinity.rotate(bdr_c, angle, origin=rotate_cntr)\n",
" bdr_d = affinity.rotate(bdr_d, angle, origin=rotate_cntr)\n",
" \n",
" min_x = min([bdr_a.x, bdr_b.x, bdr_c.x, bdr_d.x])\n",
" max_x = max([bdr_a.x, bdr_b.x, bdr_c.x, bdr_d.x])\n",
" \n",
" min_y = min([bdr_a.y, bdr_b.y, bdr_c.y, bdr_d.y])\n",
" max_y = max([bdr_a.x, bdr_b.y, bdr_c.y, bdr_d.y])\n",
" \n",
"\n",
" w = Point(min_x, 0).distance(Point(max_x, 0))\n",
" h = Point(0, min_y).distance(Point(0, max_y))\n",
" print(h, w)\n",
" \n",
" dx = w/2 - rotate_cntr.x\n",
" dy = h/2 - rotate_cntr.y\n",
" \n",
" # ------------------\n",
" new_A = affinity.rotate(a, angle, origin=rotate_cntr) \n",
" new_B = affinity.rotate(b, angle, origin=rotate_cntr)\n",
" new_C = affinity.rotate(c, angle, origin=rotate_cntr)\n",
" new_D = affinity.rotate(d, angle, origin=rotate_cntr)\n",
" \n",
" \n",
" new_A = (int(dx + new_A.x), int(dy+ new_A.y)) \n",
" new_B = (int(dx + new_B.x), int(dy+new_B.y))\n",
" new_C = (int(dx + new_C.x), int(dy+new_C.y))\n",
" new_D = (int(dx + new_D.x), int(dy+new_D.y))\n",
" \n",
" return new_A, new_B, new_C, new_D\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1032.558649781678 1464.4933958709616\n",
"(493, 1386, 3)\n",
"(1033, 1466, 3)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"A = (131,76)\n",
"B = (358,76) \n",
"C = (358,162)\n",
"D = (131,162)\n",
"center = (1386/2, 493/2) # assume 1386 and 493 is canvas wide, hight\n",
"angle = 25 # deg unit\n",
"\n",
"\n",
"nA, nB, nC, nD = rotate_box(A, B, C, D, center, -1*angle)\n",
"\n",
"img = Image.open('/home/uzzal/Documents/TMP/DSC_2454.png')\n",
"\n",
"img_rt = img.rotate( angle, expand=1 )\n",
"\n",
"img_org_np = np.array(img)\n",
"img_rt_np = np.array(img_rt)\n",
"\n",
"print(img_org_np.shape)\n",
"print(img_rt_np.shape)\n",
"\n",
"plt.imshow(img_rt_np)\n",
"\n",
"plt.scatter(nA[0], nA[1], color='r')\n",
"plt.scatter(nB[0], nB[1], color='r')\n",
"plt.scatter(nC[0], nC[1], color='r')\n",
"plt.scatter(nD[0], nD[1], color='r')\n",
"\n",
"\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
@uzl
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uzl commented Mar 15, 2019

from shapely.geometry import Point, LineString
import numpy as np
from PIL import Image
from shapely import affinity
import matplotlib.pyplot as plt
# from shapely.figures import SIZE, set_limits, plot_coords, plot_bounds, plot_line_issimple

import math


def rotate_box(angle, canvas_cord, landmark_cord):

    W, H = canvas_cord

    a = Point(landmark_cord)

    canvas_center_cord = Point(W/2, H/2)

    upper_left_cord = Point(0,0)
    lower_left_cord = Point(0, H)

    ve = 2
    if angle > 90:
        ve = 2 + angle // 90
        angle = angle % 90

    p = math.pow(-1, ve)
    angle = angle*p

    new_upper_left_cord = affinity.rotate(upper_left_cord, angle, origin=canvas_center_cord)
    new_lower_left_cord = affinity.rotate(lower_left_cord, angle, origin=canvas_center_cord)

    shift_x = new_lower_left_cord.x
    shift_y = new_upper_left_cord.y




    current_center_cord = Point(canvas_center_cord.x - (shift_x),
                                canvas_center_cord.y - (shift_y) )

    return current_center_cord

for i in range(0,365,5):
    c = rotate_box(i, (200, 100), (50, 50))
    print('{}\t{}\t{}\n'.format(i, c.x,c.y))

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