From 0db4c045b037454f38f991c27acde347cbe5cbf3 Mon Sep 17 00:00:00 2001 From: shikhachoudhari <95690118+shikhachoudhari@users.noreply.github.com> Date: Mon, 8 Aug 2022 23:59:57 +0530 Subject: [PATCH 1/4] 21620010 Assignment 2 --- .../Vector_Quantization.txt | 41 ++++++ .../21620010- Assignment 2/compressed.jpg | Bin 0 -> 4402 bytes .../21620010- Assignment 2/haffman_coding.txt | 132 ++++++++++++++++++ .../21620010- Assignment 2/observation.txt | 24 ++++ .../21620010- Assignment 2/original.jpg | Bin 0 -> 19241 bytes 5 files changed, 197 insertions(+) create mode 100644 Assignment 2/21620010- Assignment 2/Vector_Quantization.txt create mode 100644 Assignment 2/21620010- Assignment 2/compressed.jpg create mode 100644 Assignment 2/21620010- Assignment 2/haffman_coding.txt create mode 100644 Assignment 2/21620010- Assignment 2/observation.txt create mode 100644 Assignment 2/21620010- Assignment 2/original.jpg diff --git a/Assignment 2/21620010- Assignment 2/Vector_Quantization.txt b/Assignment 2/21620010- Assignment 2/Vector_Quantization.txt new file mode 100644 index 0000000..30a465f --- /dev/null +++ b/Assignment 2/21620010- Assignment 2/Vector_Quantization.txt @@ -0,0 +1,41 @@ +import numpy as np +import scipy as sp +# For plotting and Visualization +import matplotlib.pyplot as plt + +from sklearn import cluster + +from PIL import Image + +im = Image.open("myImage.jpg") +im = np.array(im) + + +n_clusters = 5 +np.random.seed(0) + +X = im.reshape((-1, 1)) +k_means = cluster.KMeans(n_clusters=n_clusters, n_init=4) +k_means.fit(X) +values = k_means.cluster_centers_.squeeze() +labels = k_means.labels_ + +# create an array from labels and values +im_compressed = np.choose(labels, values) +im_compressed.shape = im.shape + +vmin = im.min() +vmax = im.max() + +# original image +plt.figure(1, figsize=(3, 2.2)) +plt.imshow(im.astype('uint8'), cmap=plt.cm.gray, vmin=vmin, vmax=256, ) + +# compressed image +plt.figure(2, figsize=(3, 2.2)) +plt.imshow(im_compressed.astype('uint8'), + cmap=plt.cm.gray, vmin=vmin, vmax=vmax, ) +Image.fromarray((im_compressed).astype("uint8")).save("compressed.png") + + +plt.show() \ No newline at end of file diff --git a/Assignment 2/21620010- Assignment 2/compressed.jpg b/Assignment 2/21620010- Assignment 2/compressed.jpg new file mode 100644 index 0000000000000000000000000000000000000000..5f5af9c11ffe80eac3d5a8b62b9d94297a521543 GIT binary patch literal 4402 zcmbW3cT`htlfZ8X5E6QqB2fZ@6qO<wvXPz_n+?jjkcb_?Phda$(03=RX+gbw< z2n2}WT>zH~m{>(%{Q$t;9?${+KnQ?3N&pa^#d84wM@fKx$L1;EDD~g=&OLV)umt!Z zke&4}feJu(M3A2!DgYCN!FE&#E({kELI}ZN2vGz=ScE4qxR|)8h}e$3^OBwLohaTC z5rPTrc>Ldl`yP-K0!{;Gp%7JoPZ9!^gmAk6Brk6P9_bG3zXZYujE@{Ou{>#IZG*8rb^d~rvx}>nyU$;~e*OX2z#C!VH*ZBm-cCqN zN=`{lOV7){cfX+U!Na1m@+VK9J%91?)mu_cZC(AlhQ^N0uI`@RfBO1I$Hpfnr>1Af zRNCUw=P%1&zpcuBw!;PCyTwzeB)`C3 zJwd4xj<74C(yID#LNXS)rPb|ll)*Vr*8BPhLQc()s!rcQ`%kj}9a#MTi|pTE|II}P zM4%Af;Xx$fgpC78Hx+EV>tVn(hkfanmAvC3w1a>q$XI{2IQ0*r39kt zedIRxB_`e5+R|2_-VKljBn5`06&?eukgMj$bsGPq+oX#-r zRd?F%Vt%;)wgn{ffc8IJV4(p|LZ_kq@l5SMJruEdcP`N3YU)VSpa-WKm0^jxwFZo* z!k=>w>6zY@oOZckVY}(--^me=-b2^uZp(Nq$Bd*>gjN;3S{Ch3>F%RgPn79nVDd0CcOD3&i{KumU-Py!~9w&3f=agHiTk)UnXe7ZGR=IIhBD zkGebNy?5cE_@jAp!KL{TnN{vv%cd?rC$^FJ_9jKb+7IxLCw*T7trYyTm}zqFcJ>{X zC)G1#gN8&5h^QTIUR66=(QW#Abx$r*5@^MJ`iaNj7qZcyv#1?|WK!QgoLRtVRbZEL zR4mHRCH%R`;24ku?uQ5Q|1(!f(k~OOCh;ArtOm?Jf#|F-e43XmY06O4ddhk9u)smw zt*hIM_xLU>Y$fwcMDj~qvkG#NUlay zF=~a4Ie$ktj4?ClQWPqu5E}D%@!a@txP4vmGxEBzV&=A8B=%j>Sy?-SYN7O}5AMKA z#FEpO%@mB&vyl#a{^Sd7_WHIa7Lr_v7rFNQA2{r_X3YH?z1vLS3_R7#Cpbs3hFNmd;tS z>%pH6MQ#qos(~9%C)Rx9UsY{7s%E~?+u(}~iH+i&mh}J)2f?>n#VRusIykVbW!EwP zcOF67>{xqY`|-paQ_(=;@w%~VtJ;y8Z;UY|KDDt+`1S!bhOWcCLg} z3jAq9OBJcLIr+nsOVy+E>(1+@gVh$ROWj(w+CserE7RgFXaagVf##6R1$=&xJKHHT z<@xVT-c&3ccXreGSgVVb`|wL3Pr<@oMEV)EA@h8>?40Cy6?6}BoR}HDI)t>{=qZ}A zk2qCxo!qA&rk5CgnHo0`-9K;gYbe%@S8whd=~W~m+N~@)jERoXNQpfVy|)D?i7gQP zz-a9D>yxG%rKdO4XgzOz*H~woP|x74Odl$oU;NiPVE>#)>sV$cIJ` zeW@+xx`|IjX8T9X=?^cc-0ZjHKVar%Gk^!rA+x+7*_|{v%d1tXWn3j7tT=-rHaAGT zHrp0mZK+(S)t6)n7%ks|BmprqU=#-t2NDRJM4m9tvFg4 z+ArBMnlKaKXpM2*h_#!%hIek~0s}3_1p?b3oZiP``LyRfcW)zwS5(xvz=@AF*bDQ4 zY4B;Ev8(IeqUzmabu)ev6}#774UV)c9o%SHfK9||G5NOJV-L~!UA)A>*UTwYNhvm;2-V3mIF^hREO^*3(+nQVvp*U>MCa?@p zA$FA^!ZAVJQ>R=7oZ~XETTwYD$V0b#uk)qPj^K6h3sv~H^*s*oXzf~N-0SE7W;Gpu z=G{1}#qRVJ>zm;`AN;&<=ojr>j>1A?p=t7Axr<9{~13y;p;!l_F@H9tE7%R#FItq_^0Y?iFX zqQ;u~_9Yg2Bn-LRD-bCf{zJ+QtGJvL5^fOn%yahQT(8XAPMOS}PnXrj-ge1mSVO$lxdDxlx+zGJ+G>E0Zp+9EpNX#a()a27_*~q~88vJY^GW zxIorpHITvkrieDG)e_0|(@BrDtv{(K*P?kj1*O}S?;eKOB{@miAcE0GAH_#;Op{&? 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The compressed size is:", compressed_file_size) +print("This is a saving of ", uncompressed_file_size-compressed_file_size, "bits") +output = open("compressed.txt", "w+") +print("Compressed file generated as compressed.txt") +output = open("compressed.txt", "w+") +print("Decoding.......") +output.write(bitstring) + +bitstring = str(binary[2:]) +uncompressed_string = "" +code = "" +for digit in bitstring: + code = code+digit + pos = 0 + for letter in letter_binary: + if code == letter[1]: + uncompressed_string = uncompressed_string+letter_binary[pos][0] + code = "" + pos += 1 + +temp = re.findall(r'\d+', uncompressed_string) +res = list(map(int, temp)) +res = np.array(res) +res = res.astype(np.uint8) +res = np.reshape(res, shape) +print(res) +print("Observe the shapes and input and output arrays are matching or not") +print("Input image dimensions:", shape) +print("Output image dimensions:", res.shape) +data = Image.fromarray(res) +data.save('original.png') +if a.all() == res.all(): + print("Success") \ No newline at end of file diff --git a/Assignment 2/21620010- Assignment 2/observation.txt b/Assignment 2/21620010- Assignment 2/observation.txt new file mode 100644 index 0000000..8736efc --- /dev/null +++ b/Assignment 2/21620010- Assignment 2/observation.txt @@ -0,0 +1,24 @@ +Name: Shikha S. Choudhari +Prn. 21620010 + + +1) Original.jpg : + Dimensions: 128x128 px + Size: 18.7 kB +2) Compressed.png : + Dimensions: 80x76 px + Size: 4.28 kB + +Performance: + Vector Quantization Algorithm: +By calculating the Compression Ratio of the image: + + compression ratio = (uncompressed image size / compressed image size) + Compression Ratio = 18.7/4.28 + = 4.36 + + +Huffman Encoding Time Complexity: + + The time complexity for encoding each unique character based on its frequency is O(nlog n). +Extracting minimum frequency from the priority queue takes place 2*(n-1) times and its complexity is O(log n). 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bytes 3 files changed, 17 insertions(+) create mode 100644 Assignment 1/21620010- Assignment 1/Observation.txt create mode 100644 Assignment 1/21620010- Assignment 1/Profile output.pdf create mode 100644 Assignment 1/21620010- Assignment 1/The Algorithm.pdf diff --git a/Assignment 1/21620010- Assignment 1/Observation.txt b/Assignment 1/21620010- Assignment 1/Observation.txt new file mode 100644 index 0000000..6918db2 --- /dev/null +++ b/Assignment 1/21620010- Assignment 1/Observation.txt @@ -0,0 +1,17 @@ + +1. Yes,we can decide the sequence of function of algorithm executed from the gprof by analyzing call graph present in gmon.out file. +By observing the call graph we can understand which function is called for how much amount of time and further it calls which other functions. +The call graph shows how much time was spent in each function and its children. From this information, you can find functions that, while they themselves may not have used much time, called other functions that did use unusual amounts of time. + +2. Time complexity of quicksort :- +Complexity of quick sort is based on which element is chosen as pivot. +• Best Case Complexity - In Quicksort, the best-case occurs when the pivot element is the middle element or near to the middle element. + The best-case time complexity of quicksort is O(nlogn). + +• Average Case Complexity - It occurs when the array elements are in jumbled order that is not properly ascending and not properly descending. + The average case time complexity of quicksort is O(nlogn). + +• Worst Case Complexity - In quick sort, worst case occurs when the pivot element is either greatest or smallest element. + Suppose, if the pivot element is always the last element of the array, the worst case would occur +when the given array is sorted already in ascending or descending order. +The worst-case time complexity of quicksort is O(n2). diff --git a/Assignment 1/21620010- Assignment 1/Profile output.pdf b/Assignment 1/21620010- Assignment 1/Profile output.pdf new file mode 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zz&{$+Ut}B{?0=Q9bF#AiF5>{Vtbes-=Vtp&kAs!#H-8)eaLj+P>eC_+7@s@f#Z#0Qj3fE;cT3 z7x1t3$Hl?^yB-(MZ!&IH?!T4`VCCWZtz1@CAouTW102h5?FHN&{VoH%AOpT2V|ziy z{(_9-1sUfHvcJX*Ud#vZdpl)idx3-f1rGKXIM`p{V1I#w{RIwiyZWuJz-{Aq*$dYt z`(N3>4FG)3f3xLyfrH}(4vrT%z}M05{$AkVc!2|aP5*BD0td$n92_rjaK6C7`2q*$ z3mlv;aB#lB!TACQ=L;O1FK~eS#NT*1U*G^=tH0@Sy}-fs0teR%9N<3jcYiN%aJ|3* zzRrKQeSw4P1rF{PIJjTn;C_Jv+!y~=F82!@+%Ir|`>Wq=U*O<=frI-64xSe{cwXS( zd4YrH1rDAUICx&*;CX?A=LHU)7dXKE_+RS)03M-#m;KHGVEvr~03MTnxBZ<1!1_A} zfc19{0PF7@0PuMEdl@fq0AAn#_u0SMg2(CKWiN05Uf=+{zyThA|LPCiqy9w(9zVc+ z&cBYe;H>$#F$KWJ4)|-n0pQ_a`|G$0mVvLCzxdaSK42q<^h5e!M{iSKL9DG7i|Cl literal 0 HcmV?d00001 From 962bdfb95165f90431e79488b3bb8313db97d6d9 Mon Sep 17 00:00:00 2001 From: shikhachoudhari <95690118+shikhachoudhari@users.noreply.github.com> Date: Tue, 9 Aug 2022 00:06:22 +0530 Subject: [PATCH 3/4] 21620010 Assignment-1 From 5b39af21c6d2877d8e8586fd2911abcfe22d5845 Mon Sep 17 00:00:00 2001 From: shikhachoudhari <95690118+shikhachoudhari@users.noreply.github.com> Date: Tue, 9 Aug 2022 00:12:18 +0530 Subject: [PATCH 4/4] Delete Observation.txt --- .../21620010- Assignment 1/Observation.txt | 17 ----------------- 1 file changed, 17 deletions(-) delete mode 100644 Assignment 1/21620010- Assignment 1/Observation.txt diff --git a/Assignment 1/21620010- Assignment 1/Observation.txt b/Assignment 1/21620010- Assignment 1/Observation.txt deleted file mode 100644 index 6918db2..0000000 --- a/Assignment 1/21620010- Assignment 1/Observation.txt +++ /dev/null @@ -1,17 +0,0 @@ - -1. Yes,we can decide the sequence of function of algorithm executed from the gprof by analyzing call graph present in gmon.out file. -By observing the call graph we can understand which function is called for how much amount of time and further it calls which other functions. -The call graph shows how much time was spent in each function and its children. From this information, you can find functions that, while they themselves may not have used much time, called other functions that did use unusual amounts of time. - -2. Time complexity of quicksort :- -Complexity of quick sort is based on which element is chosen as pivot. -• Best Case Complexity - In Quicksort, the best-case occurs when the pivot element is the middle element or near to the middle element. - The best-case time complexity of quicksort is O(nlogn). - -• Average Case Complexity - It occurs when the array elements are in jumbled order that is not properly ascending and not properly descending. - The average case time complexity of quicksort is O(nlogn). - -• Worst Case Complexity - In quick sort, worst case occurs when the pivot element is either greatest or smallest element. - Suppose, if the pivot element is always the last element of the array, the worst case would occur -when the given array is sorted already in ascending or descending order. -The worst-case time complexity of quicksort is O(n2).