Acceptance-Rejection Distribution Generator

Dec 14 2023 Physics TA Project C++ Python Stochastic Method

Used the acceptance-rejection method to generate samples from custom continuous and discrete distributions, including binomial and Poisson. Verified accuracy through histogram comparisons with analytical formulas. Read More

Korteweg de Vries Equation

Nov 14 2023 Physics TA Project C++ Python Wave Numerical Simulation Partial Differential Equation

Simulated soliton waves using the Korteweg–de Vries (KdV) equation to explore how different explicit and implicit time-stepping methods affect accuracy and stability. Read More

Simple Digital Filter – Frequency Domain Analysis

Nov 07 2023 Physics TA Project C++ Python Data Analysis Fourier Transform

This project applies Fourier transform to analyze a composite sine wave signal and demonstrates how simple equations can function as digital filters. Both low-pass and high-pass filters are applied and visualized in the frequency domain. Read More

Finite Square Well

Oct 30 2023 Physics TA Project C++ Python Quantum Mechanics Solving Systems of Equations

This project applies Newton's method to solve the transcendental eigenvalue equations of a finite potential square well in quantum mechanics. It numerically estimates bound-state energy levels, using initial guesses derived from the infinite square well solution. Read More

Rutherford Scattering

Oct 14 2023 Physics TA Project C++ Python Classical Mechanics Numerical Simulation Ordinary Differential Equation

A numerical simulation of Rutherford scattering using the adaptive Runge-Kutta method to model the Coulomb interaction between an alpha particle and a gold nucleus. Read More

The Solitude House

May 30 2023 Animation Practice Autodesk Maya Substance 3D Painter Modeling UV Texturing Lighting Rendering

A symbolic rendering of a solitary house, representing how moments of loneliness can become powerful opportunities for inner reflection and personal growth. Read More

Analysis of the Temperature Data at Hualien between 2010-2020

May 11 2023 Physics Course Project MATLAB Data Analysis Fourier Transform

This study analyzes ocean and air temperature data in Hualien from 2010 to 2020 using probability distributions, Fourier Transform, and Hilbert-Huang Transform. Results reveal temporal patterns and highlight rising temperature trends, contributing to a better understanding of local climate change. Read More

My First Step into Animation: Cartoon Rocket Launch

Apr 30 2023 Animation Practice Autodesk Maya PhotoShop Modeling UV Texturing Lighting Character Animation Rendering

A stylized rocket launch animation created in Maya. The cartoon rocket symbolizes my first steps into animation, with dynamic smoke effects generated using Maya's particle system to enhance realism and motion. Read More

Z-buffer and Shading

Dec 26 2022 Computer Graphics Course Project C++ OpenGLUT

Implemented a 3D rendering pipeline with flat shading and z-buffering. The system parses transformation and lighting commands, supports perspective projection, back-face culling, and point light shading using the Phong reflection model. Read More

3D Computer Graphics Pipeline

Nov 28 2022 Computer Graphics Course Project C++ OpenGLUT

Implemented a 3D graphics pipeline that reads transformation, camera, and display commands from input files. Supports translation, scaling, rotation, clipping, viewport mapping, and .obj model rendering with back-face culling and triangle slicing. Read More