Mathematical path-python computing practice (20)-machine vision-Laplace operator convolution filtering and Laplace operator

Mathematical path-python computing practice (20)-machine vision-Laplace operator convolution filtering and Laplace operator

Two-dimensional convolution calculation by Laplace operator, linear sharpening Filtering

#-*-Coding: UTF-8-*-# linear sharpening filtering-Laplace operator for two-dimensional convolution calculation # code: myhaspl@myhaspl.comimport cv2import numpy as npfrom scipy import signalfn = "test6.jpg" myimg = cv2.imread (fn) img = cv2.cvtColor (myimg, cv2.COLOR _ BGR2GRAY) srcimg = np. array (img, np. double) myh = np. array ([[, 0], [1,-], [, 0]) myj = signal. convolve2d (srcimg, myh, mode = "same") jgimg = img-myjcv2.imshow ('src', img) cv2.imshow ('dst ', jgimg) cv2.waitKey () cv2.destroyAllWindows ()

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Use the Laplace filter template to filter in the frequency domain. What is the sample of the 3x3 Template?

0810 Communication Engineering

(Registered by level-1 subject, including 081001 communication and information systems, 081002 signal and Information Processing)

Subjects for examination: ① 101 politics ② 201 English or 202 Russian or 203 Japanese ③ 301 Mathematics (I) ④ 803 Signals and Systems (50%) and digital logic circuits (50%)

Bibliography:
A: Wang baoxiang, "signal and system", Harbin Institute of Technology Press
B: Zheng Junli, "signal and system", Higher Education Press
C: Ma Zhichun, digital circuit, University of Electronic Science and Technology Press

Exam content:
Signals and Systems
1) Theoretical Basis of Signal Analysis
A: Basic Concepts and typical signals of Signals
B: Time Domain Decomposition and transformation of signals, convolution
2) Fourier Transformation
A: Fourier series, Fourier transformation, and the properties of Fourier Transformation
B: Fourier transformation of periodic signals and spectrum of Sampling Signals
3) Laplace transformation
A: Laplace transformation and Inverse Transformation
B: The nature of Laplace transformation
4) z Transformation
A: ztransformation and its convergence domains, the properties of ztransformation, Z Inverse Transformation,
B: Relationship between ztransform and Laplace Transform
5) Time Domain Analysis of Continuous Systems
A: Classic Solution for Continuous Systems
B: zero input response, Impulse Response and step response, zero state response
6) frequency domain analysis of Continuous Systems
A: Fourier transform analysis
B: distortion-free Transmission Conditions
C: ideal low-pass filter
7) complex frequency domain analysis of Continuous Systems
A: Laplace transformation analysis
B: system functions, polar zero distribution and time domain response characteristics, polar zero distribution and System Frequency Characteristics
C: Linear System Simulation
8) Time Domain Analysis of Discrete Systems
A: discrete system description and Simulation
B: Classic Solution of the difference equation, zero input response and zero state response
9) Z-domain analysis of Discrete Systems
A: ztransform Analysis Method for Discrete Systems
B: system functions and frequency responses of Discrete Systems
10) state variable analysis method of the system
A: establishing State Equations
B: state equation solution for continuous and Discrete Systems
(2) Digital Logic Circuit section
1) Number System and encoding
A: The basic concepts of number and encoding, and the conversion between different numbers
B: binary operations
2) Basis of Logical Algebra
A: basic concepts of Logical Algebra and representation of Logical Functions
B: simplification and implementation of Logical Functions
3) door circuit
A: Working Principle and input/output characteristics of TTL Gate Circuit
B: Principle and Application of OC gate and three-state gate (TS), MOS Gate Circuit
4) combination Circuit
A: Analysis and Design of Combined Logic Circuits
B: Principle and Application of typical Medium-sized and Small-Scale Integrated Circuits
5) triggers
A: Basic Principles and Applications of triggers
B: conversion between different trigger types
6) time series logic circuit
A: concepts of time series Logical Circuits
B: Analysis and Design of synchronous time series circuits
C: Design and Application of Integrated counters and shift registers
D: basic concepts of asynchronous time series circuits
7) arithmetic operation circuit
A: Principle and Application of numeric comparator, addition circuit and Multiplication Circuit
8) memory and Programmable Logic Devices
A: Basic Principles and extensions of RAM and ROM
B: Basic Principles and Applications of Programmable Logic Devices
9) modulus and digital-analog conversion
A: basic concepts, basic principles, and typical conversion methods of A/D and D/A Conversions
Exam structure:
Exam time: 180 minutes, full score: 150
Question Type Structure
A: Concept question (20 ~ 30 points)
B: Short answer questions (30 ~ 40 points)
C: calculation questions (40 ~ 50 points)
D: Analysis and Design Questions (40 ~ 50 points)

C) Content Structure
A: signal and system (75 points)
C: Digital Logic Circuit (75 points)

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