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DIP M2 Sol-1

The document outlines various topics related to image transforms, including the need for image transforms and properties of 2D orthogonal unitary transforms. It covers specific transforms such as Discrete Cosine Transform (DCT) and Haar Transform, detailing their properties, matrices, and algorithmic steps. Additionally, it addresses the properties of Discrete Fourier Transform (DFT) and the concept of periodicity, translation, and rotation in the context of 2D transforms.

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22 views15 pages

DIP M2 Sol-1

The document outlines various topics related to image transforms, including the need for image transforms and properties of 2D orthogonal unitary transforms. It covers specific transforms such as Discrete Cosine Transform (DCT) and Haar Transform, detailing their properties, matrices, and algorithmic steps. Additionally, it addresses the properties of Discrete Fourier Transform (DFT) and the concept of periodicity, translation, and rotation in the context of 2D transforms.

Uploaded by

teensydev
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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DIP

MODULE 2
1.What is the need for an image transform? State 2D orthogonal unitary
transform with its properties.
2.Explain the two-Dimensional Orthogonal transform along with its
properties
3.Explain the Two-Dimensional Orthogonal and Unitary Transforms
(4.State the following properties of 2D DFD i) Translation ii) Periodicity iii)
Rotation iv) Convolution theorem.)
NOT SURE IF IN SYLLABUS OR NOT
5.State and prove the properties of DFT.
6.Explain the properties of Two-Dimensional DFT
7.Define Discrete Cosine transform and state its properties.
8.Derive a 4 X 4 cosine Transform matrix and hence mention properties of
DCT
9.Explain DCT with equation and hence obtain 2X2 DCT matrix
10.Compute Discrete Cosine transform for N=4.
11.Explain the algorithmic steps in Haar Transform.
12.Explain Haar Transforms with equation and hence obtain 2X2 Haar
Transform matrix
13.Derive a 4 X 4 Haar Transform matrix and hence mention properties of
Haar transforms
14.Perform Haar Transform for N=2 .

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