From 2cfc29de108f53b87c1446ba6c7f215cad828e44 Mon Sep 17 00:00:00 2001 From: Spagnolo Gasper Date: Tue, 27 Dec 2022 14:41:02 +0100 Subject: [PATCH] 3f done --- assignment6/cam.py | 119 + assignment6/datam/me/2022-12-27-132735.jpg | Bin 0 -> 67915 bytes assignment6/datam/me/2022-12-27-132801.jpg | Bin 0 -> 85998 bytes assignment6/datam/me/2022-12-27-132813.jpg | Bin 0 -> 66711 bytes assignment6/datam/me/2022-12-27-132823.jpg | Bin 0 -> 82265 bytes assignment6/datam/me/2022-12-27-132842.jpg | Bin 0 -> 84061 bytes assignment6/datam/me/2022-12-27-132855.jpg | Bin 0 -> 84946 bytes assignment6/datam/me/2022-12-27-132908.jpg | Bin 0 -> 71968 bytes assignment6/datam/me/2022-12-27-132918.jpg | Bin 0 -> 110524 bytes assignment6/datam/me/2022-12-27-132928.jpg | Bin 0 -> 83730 bytes assignment6/datam/me/2022-12-27-132950.jpg | Bin 0 -> 262866 bytes assignment6/datam/me/2022-12-27-133004.jpg | Bin 0 -> 98322 bytes assignment6/datam/me/2022-12-27-133010.jpg | Bin 0 -> 258396 bytes 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assignment6/datam/me/2022-12-27-133203.jpg create mode 100644 assignment6/haarcascade_frontalface_default.xml diff --git a/assignment6/cam.py b/assignment6/cam.py new file mode 100644 index 0000000..78ec43c --- /dev/null +++ b/assignment6/cam.py @@ -0,0 +1,119 @@ +import cv2 +import numpy as np +import os +import uz_framework.image as uz + +IMAGES_FOLDER = './datam/me/' + + + +def read_images(path): + # Get all the path to the images and save them in a list + image_paths = [os.path.join(path, f) for f in os.listdir(path)] + + images = [] + + for image_path in image_paths: + # Read the image and convert to grayscale + image_pil = cv2.imread(image_path, 0) + # Convert the image format into numpy array + image = np.array(image_pil, 'uint8') + + images.append(image) + + face_cascade = cv2.CascadeClassifier('haarcascade_frontalface_default.xml') + + faces = [] + for image in images: + # Detect face in the image + face = face_cascade.detectMultiScale(image, 1.3, 5) + + for (x, y, w, h) in face: + # Crop the face out + H = 300 + W = 280 + y_offset = 20 + x_offset = 30 + face = image[y-y_offset:(y-y_offset)+H, x-x_offset:(x-x_offset)+W].copy() + faces.append(face) + + return np.array(faces) + +def train(faces): + # Construct PCA of the faces + # Reshape all the images into a single matrix of size (n, m) + + # Downsample the images + fcc = np.array([]) + for face in faces: + face = cv2.pyrDown(face) + face = face.reshape((face.shape[0] * face.shape[1]), 1) + if fcc.size == 0: + fcc = face + else: + fcc = np.hstack((fcc, face)) + + print(fcc.shape) + U, _, _, mean = uz.dual_PCA(fcc.T) + + return U, mean + +def recognize(U, mean): + # Open webcam stream + cam = cv2.VideoCapture(0) + face_cascade = cv2.CascadeClassifier('haarcascade_frontalface_default.xml') + + while True: + # Read the frame + _, frame = cam.read() + # Convert to grayscale + gray = cv2.cvtColor(frame, cv2.COLOR_BGR2GRAY) + # Detect faces + face = face_cascade.detectMultiScale(gray, 1.3, 5) + + for (x, y, w, h) in face: + # Crop the face + H = 300 + W = 280 + y_offset = 20 + x_offset = 30 + face = gray[y-y_offset:(y-y_offset)+H, x-x_offset:(x-x_offset)+W].copy() + + if face.shape[0] != H or face.shape[1] != W: + continue + + # Project the face into the PCA subspace + # Project images into PCA subspace + # Downsample the image + face = cv2.pyrDown(face) + face = face.reshape(-1) # Reshape it into a vector + y_i = np.matmul(face - mean, U) + + # Project images back into original subspace + x_i = np.matmul(y_i, U.T) + mean + + # Compute the L2 norm between the original image and the reconstructed image + norm = np.linalg.norm(face - x_i) + + # If the norm is less than 1000, then the face is recognized + if norm < 8000: + cv2.putText(frame, 'Recognized Gasper', (x, y), cv2.FONT_HERSHEY_SIMPLEX, 1, (255, 255, 0), 2) + # Plot the rectangle around the face + cv2.rectangle(frame, (x, y), (x+w, y+h), (255, 0, 0), 2) + + # Display the frame + cv2.imshow('frame', frame) + + # Exit if 'q' is pressed + if cv2.waitKey(1) & 0xFF == ord('q'): + break + +def main(): + faces = read_images(IMAGES_FOLDER) + U, mean = train(faces) + recognize(U, mean) + + +if __name__ == '__main__': + main() + diff --git a/assignment6/datam/me/2022-12-27-132735.jpg b/assignment6/datam/me/2022-12-27-132735.jpg new file mode 100644 index 0000000000000000000000000000000000000000..22791c083b68cb1ef5df98dbec4d6f7540374600 GIT binary patch literal 67915 zcmeFYdstIf*Do3f5I`=X3%LdnC?u#rU?B+*QXmQmRU`xiLbY53HO2rY z7K{)BBG3ZhMy9-}~ zkGGxq(!A(Do@0D`zWn>&)&A?TnFXz|Fh9`SJCEs=xqWxm4lnBNUEU>``Q8{WA8%Oj z#*+L@>UTQ|owIi2(DU#v^A|6>IMcV|UAFoYd2Mmi1gml3hFVn1LmDm%keigzmpQ_I7dpyGY@8c$a8OVZn|s;=4c<3$|wm zk~c;DM>Xg_yvu*|uei9_tJu$LcR`Lf28Y9W`}lhM`mTpctY?wR(ms-Li%npsHSowo^^OZrac z|D!hkm%85noc2vSnA8GD2&h@-FUue^Yj+XUyD!;aW+HGCq$tVsT{{vB=+H{c+!^v^ zL9fR^{R&9_r#g6HZ~<7*XRQw=(8nj(`@gSe8vJFt0x7$*3yU)gc7*&dY8LGMU$g(C zIAQnp9Xmt*vwr?JD*GRG|3_KV;O*4F?NG1(4|@8~l7H7>7G>q`pcaNi{H_1N-caU0 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+ 0.4860099852085114 + 3.6160000599920750e-003 + -2.9928278923034668 + 23 + -1 + diff --git a/assignment6/solution.py b/assignment6/solution.py index 27b4389..6017a92 100644 --- a/assignment6/solution.py +++ b/assignment6/solution.py @@ -287,6 +287,57 @@ def three_c(): plt.show() +def three_d(): + """ + Informativeness of each component: Each eigenvector holds + information that defines some aspect of the PCA space. By changing the values of + a vector in a periodic way, we can observe how different weights for an eigenvector + affect the reconstructed image. + Use the second series of images for this task. Take the average photo that you + compute based on all images in the series2 + . Project the average image to PCA + space. Then, select one of the more important eigenvectors and manually set its + corresponding weight in the projected vector to some value of your choice. Project + the modified vector back to image space and observe the change. + In order to see the changes easier, write a script that goes over a range of values for your selected eigenvector. To smoothly change the values, use np.sin and + np.linspace as well as some scaling factor x to show the differences more strongly. + Also, use plt.draw in combination with plt.pause to display the results as an + animated sequence of images. + Hint: We recommend the value range of about [−10, 10] and the scaling factor of + around 3000. + Modify the script to change two parameters at the same time, in a circular way (i.e. + using both np.sin and np.cos). Experiment with different eigenvector pairs and + report your observations. + """ + imgs = uz_image.read_images('./data/faces/2') + # Perform dual PCA + U, _, _, mean = uz_image.dual_PCA(imgs) + + # Compute the average image + avg_img = np.mean(imgs, axis=0) + + def pplot(U, avg_img, mean): + # Create linspace of sine values + x = np.linspace(-10, 10, 100) + sinx = np.sin(x) + cosx = np.cos(x) + + for ix, value in enumerate(sinx): + # Project image into PCA subspace + y_i = np.matmul(avg_img - mean, U) + y_i[0] = value * 3000 + y_i[1] = cosx[ix] * 3000 + + # Project image back into original subspace + x_i = np.matmul(y_i, U.T) + mean + + # Plot the original image and the projected images + plt.imshow(x_i.reshape((96, 84)), cmap='gray') + plt.pause(0.001) + plt.draw() + + pplot(U, avg_img, mean) + def three_e(): """ Reconstruction of a foreign image: The PCA space is build upon @@ -320,6 +371,25 @@ def three_e(): axs[1].imshow(x_i.reshape((96, 84)), cmap='gray') plt.show() +def three_f(): + """ + Recognition with a subspace: PCA subspaces can be used in a + simple object recognition scenario. Generally, if an image is similar to the images + used to build the PCA subspace, the reconstruction error incurred when projecting + to said PCA space should be small. In this task, you will try to implement a simple + facial recognition system based on this property. + Use a camera to capture images (10 at the very least) of your face with varying + illumination and facial expressions. Resize them to a common resolution and try to + align them by eye location. Construct a PCA space from these images. Then, write + a script that captures images from your webcam, detects faces in them (you can use + something from OpenCV like Haar cascades) and extracts the regions that contain + faces. Reshape these regions to correct size, transform them to the precalculated + PCA space and back to image space. Then, based on some similarity measure (can + be simple L2 norm) and some threshold, decide whether a region contains your face + or not. Display the information on the image stream. + Note: You can prepare a video that demonstrates the performance of your system + """ + # implemented in cam.py file def three_g(): imgs_1 = uz_image.read_images('./data/faces/1') @@ -344,7 +414,7 @@ def three_g(): axs[0].scatter(y_i[imgs_1.shape[0] + imgs_2.shape[0]:, 0], y_i[imgs_1.shape[0] + imgs_2.shape[0]:, 1], c='b') - pts = LDA(U, 3, 64) + pts = uz_image.LDA(U, 3, 64) # Plot the projected images axs[1].scatter(pts[:imgs_1.shape[0], 0], pts[:imgs_1.shape[0], 1], c='r') @@ -362,7 +432,8 @@ def main(): #three_a() #three_b() #three_c() - three_e() + #three_d() + #three_e() #three_g() if __name__ == '__main__': diff --git a/assignment6/uz_framework/image.py b/assignment6/uz_framework/image.py index 2aad08f..7321b1a 100644 --- a/assignment6/uz_framework/image.py +++ b/assignment6/uz_framework/image.py @@ -1811,7 +1811,7 @@ def dual_PCA(points: npt.NDArray[np.float64]): U = X @ U @ np.sqrt(np.diag(1/(S * (X.shape[1]-1)))) return U, S, VT, mean -def read_images(data_path: str): +def read_images(data_path: str) -> npt.NDArray[np.float64]: """ Read images from directory Accepts path to direcgtory @@ -1828,7 +1828,7 @@ def read_images(data_path: str): imgs = np.hstack((imgs, img)) return imgs.T -def LDA(points, c, n): +def LDA(points, c, n) -> npt.NDArray[np.float64]: """ LDA algorithm Accepts points, number of participants in every class, number of classes

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